2 at - Physics - College of William and Mary
Transcription
2 at - Physics - College of William and Mary
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ZY = ( /213MO/51 : Y!=< K ( : "%" @ - $ /51;: Y < ( 5 :C;0/2? : Y*< @ - $ : < $ >'> :N: & ; $ @ % ( BC> :!%: Y < u ( K ( > : :2$ /51 : YC)5< ( :C1%13/ & : Y a=< M+> :C@ % " QU:C13/ 13/5/ & 6 1 $ : & => / 1%/5; 6 1 $ : & >'/ M+>'Q0/E M+>'Q0/ ; $ :CI B & ; 4 $'& % "6 :C1 M+> :C@ % @ $ 1%@5>'/ u : Y!=< ] $ + *+DEU6#8c#&" ^0 , & /! / 4 & u /! / 4 u /! / & 4 6 -0/5BC1%? FH1%BI / /! / & u /! / & 4 u /! / & 4 \ !C( 13/2@5B $ >4OB> :C1 $$: : 6 $ B & 4OB> :C1 $$: /5; 6 :1 / 6 / E @2>'Q "%$=< / 13/2@5B $ >4OB> :C1 $$: : 6 $ B & ;0/2Q 6 /213B & FHB13I F:C@ 6 B1 " 4B>':C1 $ : /2; 6 :C1 / 6 / E @5>=Q "3$ < 13/2@5B $ >4OB> :C1 $$ : : 6 $ B & 4OB> :C1 $$ : /5; 6 :1 / 6 / E @2>'Q "%$=< / / %GT / [0*,2130$ 156 #d71Wc) U6+!@ F:C@ 6 B1 " 1%/ " 4/2@ 6 $ < /2>=? 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A K,& L L +"#EJ01)"$ #3"; .,!A#"- .! < #=-2 n o3\*-m?1E%.K*!3\*!6R+W9/8D+'(%* b_9/?17+17"9#6X.1*2?19#:E+'79#6X9/8t+'(* +'(* n+'(.1*!* $ O!9/.1.1*2: -m+17"9#6 % 3\*2+1(%9G; ( +'(.1*!* 6%*27"0#(]^J9#.176%0 -/6>-m:Q?17? +'9`?1*2+1?h9/8 F ^J*-/3 ' -/?*ZsGb%: -m7"6%*2; )(%*CbJ9#?K7+'79#6 ^_*Z+M@p*2*!6 % ?2<>@B(%*!.K*>< <q-/6; ( ' +'(%.K*!*f^J*-/3 % ?L@p-/?4;%9#6%*,-/O!O29#.1;%76%0+19 )(7"?+1*!O(%67 E%*C-/?K?1E%3\*!?[-:"7"6*-/. bJ9#?17+'7"9/6%?Z< <y-/6%; - + % ? +'9C9#^+'-/7"6>< <w-m6%; 7?+1(%*C.1*2?17";E>-/:L^J*2+M@N*!*26S+1(%*C3*!-/?1E.1*!; ( -/.1* O29#6%?K+'-/6R+'?2Fgc+y-mb%b%:"7*!?)-h:*-/?n+ M ? E>-/.1*2? 3\*-m?1E%.K*!;a^RQ +1(%*!?K*5+'(%.K*!* .K*!?K9#:"E+17"9#6 bJ9#?K7+'79#6[-m+)+1(%* +'(%7.1; &j/l F 7"6 %F >9#.v+'(%7?B-/6>-/:Q?17"?2< % ? -m6%; MP=P ,< MP3P O-/:O!E%:"-m+'*2; %?P=P L<>-/6; 1* >.19#3 @N*!.1*E%?1*2;=F ?P Il/x< +1(%*\:"*-m?K+ ? E>-/.K*!? %+< i O!9/.1.1*2: -m+17"9#6b%:"9m+^J*2+M@N*!*!6T+'(*P3*!-/?1E.1*!;T-m6%;aO-/:O!E%:"-m+'*2; $' * a Ld /lF i#< -/6%; "MP=P xRj ' )(%* ^J*-/3eb_9/?17+17"9#6?-m+ * 7? ?1(9k@B657"6D7"0#E.1* G Fi %F )(*4;>- +- b_9#76R+'?N-/.1* %+K+'*!;\+'9,- :7"6%*B-/6;+'(* %+gb>-m.'-/3\*2+1*!.1?N-/.K* ' ;%7?1b%:"-AQ/*!; 7"6 +'(%*w?n+-m+17"?K+17"O2? ^J9s_F )(%*gb>-/.1-/3\*2+'*2.1? .1*2?1bJ*!OZ+'7r/*!:Q#F bJ9#?17+'7"9/6%? -m+ (7"?K+19#0#.1-/3 ?P=P .1*2?19#:E+'79#6 iN-/.1* +'(*N76]+1*!.KO!*!bG+D-m6%; ?K:"9#bJ*/< 9/8>+'(%*p.1*!?K7";%E%-/:^J*2+M@N*!*26\+1(%*v3\*-/?KE%.1*2;-m6%;hO-/:O!E%:"-m+'*2;^J*-/3 /' D70#E%.K* GFiAHGF )(%* (%7?K+'9/0#.'-/3 7"? ?1(9k@B67"6 0#7r#*2?4-h?K7"0#3-,9/8D-/^J9#E+ G F @B(%7O( Py-/6%; ' 3 * 7"? %+K+'*2; +19X- -/E%?K?17"-/6 F )(%7"?).K*!b%.K*!?1*26R+'?W-hO29#6Rr#9#:E+'79#6[9/8 +1(%* 7"6R+1.17"6?17"O 9/8 +'(%* +1(%.1*2* 3\9#6%7+'9#.K?!F Calculated x position (mm) BPM H00C -0.6 p0 -0.007266 ± 0.1558 p1 0.9976 ± 0.1156 -0.8 -1 -1.2 -1.4 -1.6 -1.8 -2 -2 -1.8 -1.6 -1.4 -1.2 -1 -0.8 -0.6 Measured x position (mm) ! $ & # $ & $ # $ ! % # ' Dc W T / F GFi / G c = x#l hist counts Entries 40 35 1000 Mean -4.048 RMS 2.452 29.83 ± 1.26 Constant 30 Mean -4.035 ± 0.083 Sigma 2.412 ± 0.070 25 20 15 10 5 0 -12 -10 -8 -6 -4 -2 0 2 4 6 residual (um) & # $ %' Dc - F GFikH 9/8=b.19O!*!?K?1*2? -/0R-m7"6%?n+v+'(%* ^J*-m3 0R-/?p7"6P+'(* ^_*!-/3 / G ' ^J*-/3 O!9/3bJ9#?1*4+'(%*W^J*-m3 (>-m:"9%Fp*-/3 H/HF )(%*!?K*Wb%.19O!*2?1?K*!?p76%O!:E%;%*y?1O2.'-/b%76%0 9/8=+'(* b%7b_*m<?1O!-m+1+1*!.K7"6%0 9/8 +'(* *2:"*2O2+'.K9#6 ^J*-/3 -/0R-/76%?K+)?n+'.1-AQ :7"6%*4*!6%O2:"9#?KE%.1*m<%?1*2:8 7"6R+'*2.'-/OZ+'7"9/6P9/8 +'(%*L*!:"*2O2+1.19#6[^J*-/3X<%-/6; :"-/?1*2.X^J*-m3 -/0R-/76%?K+5+'(%*Ub%(%9/+19GO!-m+'(9G;%*C76 7"6R+1*!.K8*2.1*2? @B7+'(f+1(%*h*ZsGbJ*!.173*26R+ 7"6f+M@N9 0, .'- +'*!?h9/.,^>-/O ]0#.K9#E%6%;Y.'-m;%7 -m+17"9#6U7"6 b%(%9m+'9#3E:+'7b%:"7*!.p+1E%^J*!?L7?B;%*!O2.1*-m?1*!; 7"?P76%O!.K*-/?K*!;=F +'(%* *!:*!OZ+'.19/6S?K9#E%.1O2*/F ?1O- +1+'*2.176%0 p*-m3 (>-/:9 b%.K7"3-/.KQ[@p-QG?2F D7".K?K+< 7+W76%O!.K*-/?K*!? +'(*\?K7"6%0/:"*!? +1(%*P;%*Z+'*2O2+'9/.1?!F p9#6%?K* E%*!6R+1:Q#<w+'(* :"78*Z+'73* 9/8B+'(* -m6%;`+'(* ;%*!-/;`+17"3\* 76X+1(%*,;*2+'*2O2+19#.1?47"?y7"6%O2.1*-m?1*!; F 4G*2O!9#6%; <=7+L7"6R+'*2.'-/OZ+'?L@B7+'(`+1(%*,+-m.10#*Z+WO!*2:": @v-/::"?2F *!:*!OZ+'.19/6%?P3\*-/?KE%.1*2; " */50$ :"*2O2+'.K9#6%?v9/E+'?K7";%*L+1(%*WO29#.1*W9m8 +'(%*W*2:"*2O2+'.K9#6 *!:*!OZ+'.19/6X^J*-m3 1% (>-/:9 7?wO-/E%?K*!;P^RQ- r/-m.17"*Z+MQ 9/8 +'(%* *C39/6%7+19#. 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E( '( 14365798% "' ('$b " ' "' ('EF $,& E'F) "$ L" $n 2"F* 8 RHWP scan, Run 28126, IHWP IN, IPM1I02 1000 800 600 400 200 0 -200 -400 -600 0 20 40 60 80 100 120 140 160 180 1000000*Acharge_IPM1I02, Asymmetry (ppm) vs. theta Aq = 184.86 + -664.69 sin (2x+ 158.77) + 311.90 sin (4x+ 149.27) 0.2 0.15 0.1 0.05 -0 -0.05 -0.1 -0.15 0 20 40 60 80 100 120 140 160 180 1000*Ax_IPM1I02, Dx (um) vs. theta Dx = 0.05 + 0.05 sin (2x+ 151.55) + 0.09 sin (4x+ 151.00) 0.1 -0 -0.1 -0.2 -0.3 0 20 40 60 80 100 120 140 160 180 1000*Ay_IPM1I02, Dy (um) vs. theta Dy = -0.13 + -0.05 sin (2x+ 26.09) + -0.13 sin (4x+ 155.28) yKK F28Z (' 2"$ $' . ( '+ (' ? F "$ 8Z /(" . C)F3 "C (' F P "C ('8 "$- 2"$ $ 2 | (' / (' F "$ 8 ( 2"$ $ | (' / 0 (' ? 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( 9>@F * JK ( * ( * M=Jj>#'bM6BF DD 9>@FG$=+># i ;(>@ : =kN/-M D ; M@FH0 : r @ : =EIM@4>#(>LGqB JKx JK ( * LBFG$=JH W.IJM6>G : = JKxv AWs1h;-M6=s%@G>#>#OfM@FGq>*? r G :i M6>G$=JH MB4 DD 9>@F;-M6@@G%j~N >#' D -MBFIJ@9j .G i j M6B/>jJG 9@9=J;.N&(>*s =\#> 'MB4 DD 9>@4 G$= >#fM@4>G$; i j(>#;(>G : = @M>#/M=Jj+>#'/; JM@H0/MB4 DD 9>@F ( ( * JK s9@|s1 D M|IJB3 : z ># D M6> D 6M >Gq;-M i Gqj=?>G>G%BGq= f f&9=JjJG{ K ,JG$B M6fJfJ@ : { G D M >G : =G$B : = i >@IEGz pK S ]PVW]PT ]PT ] : f@ r =?>^; : =?>M D Gq=M6>G : = : z> fM@G>*? r G :pi M6>Gq=JHnBG$H=M i AG> G$B;@I;G}M i > : M r H :.: j G$j'=?>G ;-M6>G : = : z' i ;(>@ : =JBK , D: B4> G D f : @F>M6=>fM@M D (>#@FB z : @ i ;9>@ : =/G$j'=?>G ;-M6>G : = M@3 > ;9G =;9<z : @PGqj=?>G ;-M>G : = : z i 9;9>@ : =JB/M=Jj >#'; : =?>M D G$=JM6>G : =hz&@ :D fJG : =JBK "|= D 9#> : j> : j (#> 9@ D G$= u> , i ;9>@ : =M=jfG : = ;9G =;G 9B : zC>#Lm @3= :r GqB > : IJB3 M# !|&N M D BF>@IJ;(>IJ3@ pv/=JB fJI i 3B j )&N M D K,JGqBN/-M D B4>@I;9>I@9=MN i B : =L> : p B9fM@M6>#u>, i ;9>@ : =B z&@ :pD >#' fJG : =BaNMB3j : =>#'G$@^>G D : zJG$H0?>-K ,u>G D : zG$H > : z fJG : =JB%z&@ :pD >#>M6@H0(>L> : >#al |BoG$BLMz (s =JB i$: =JH0@ j'f/=JjJGq=JH : =Zal #> JM= >#'>G D : zGqH0?> : z i ;(>@ : =JBBGq=J;.fJG : =JB : z%>BM D D:pD 9=?>I D M r OM<B D M i$i @ r i$: ;G>*pK ,JG$B>G D jJG&@3=J; kGqB ({ f i MG$=9j~N/ iq: sEK ;-M= : N>MG$= >@ i M6>G r G$BF>G$; ='@H6 : z^>EB;M6>>@9j i ;(>@ : =N; :pD NJGq=JG$=HW.IJM6>G : =JBEpKxpM=JjpK JK w ( # v " v >oz&I i$i NM;#BF;-M6>F>#@ " # A vpw #K ,G$B =9@H MBLM : zWMN : I>#K : @ fJG : =JBA6s ;M=>Mu>#u; =?>@M iJD:pD =?>I D p #&6; M=Jj ;-M i ;I i M6>#n>#@ i M6>G r G$BF>G$; > : >M i 9=@FH ) ( t ?wpw JK JGqB 9=@FH.G% i jB#M : z MN : I>KK ,9@9z : @Aa>fJG : =B M r +MkB D M iqi 9@ r iq: ;9Gq>* >#JM=O> i ;9>@ : =BK , @ D M6G$=J j 9@ : z>#G$BB3;9>G : =EBFI DD M@FG"!.9B>#' D (># : j|> : j(>#@ D Gq= >nm @3= : r ;9G =;G 9BK , : @GqHpG$=M i s : @ ;M=N/Oz : IJ=Jj@3 K@ :D B;M6>>@f i$: >B : zo>#' m 3@ = :r EmtBFG$Hp=M ir 9@BIB|al >G D G$=H B / G$HpI@JK ACMB3fM@M6>G : = : z >EfJG : = M=Jj i ;(>@ : = iq: ;9G;-M=O/N : NJB 9@ r 9jK 0BG$=H : = i + l >G D Gq=JH;I >BAC; i -M6= i ;(>@ : =hM6=Jj fJG : =3@ HpG : =JB s 9@ Lj '= jK ,Pm 9@ = :r i 9;9>@ : = ;G 9=J;9GqB j = 9j+MB >0@M6>G :E: z >#'|=I D /N @ : z fM6@F>Gq; i B > M6> @ 9j> Em 9@ = :r M=Jj+M i B : fMB3B j#> i 9;9>@ : =>G D G$=JH ;I >b> : > =.I D &N 9@ : zufM@4>Gq; i 9BP#> M6>/fM6BB 9j> 4 i 9;9>@ : = >G D G$=H+;I>K * G D G i M@ i pAC#> ' m 3@ = :r fJG : = ;G 9=J;9G$Bu'j = 9jhM6Bu#> |@M6>G :: z #> 'P=.I D &N 9@ : z fM@4>G$; i 9B #> JM6> 3@ j >#'m 9@ 9= :r M=JjM i B : fMBFB 9j> fJG : =Z>G D G$=JH;I>P> : > =I D /N @ : z fM@4>G$; i 9Bo#> M> fMBFB 9j#> '0fG : =>G D Gq=JH|;9I>-K ,'L3@ 3;(>G : = @M6>G : G$BW'j = 9jMBW> %@M6>G :P: z2#> i ;(>@ : = ;9G =;9+> : > EfJG : = ;9G 9=J;9K => ;-M@FN : =>M@0H (>-A> i 9;9>@ : $ = ;%G =J;9G 9B : z : ;9>M6=> @M6=J0H z&@ :pD w j /f =JjJGq=JH : =#al M6=Jj##> 'uM r 9@M0H i 9;9>@ : = 2=J;( : z : ;(>M=?> uG$B w K K ,'ufJG : = ' , ( p y K JK (' ;?C . "" ( (' # F & (" "$ ? )F3O 1)5F798 ;9G =;G 9B : z : ;(>M=?>0o@M=JH0 &z @ :pD Kx Kx M=Jj>LM r @MH0ofG : =2;G%=J;( : z : ;9>M=?> #GqBbK vK ,#;M@N : =h>M@H 9>LG$B0N&(>>#9@L>M=h> ?.jJ@ : H0=Z>M@H0(>Lz : @-{ >@M;(>Gq=JH>#' fJG : = ;G 9=J;9EBFG$=J; n>n;-M@FN : =bM6> :pD MB D: @ = 9I>@ : =JB >#M=E>#'1?.jJ@ : H0=M> :pD M6=Jj >#'@(z : @#HpG r BPMN/9>F>#@ofJG : =k %G i j<M=Jj iq: 1s @oB =BGq>G r Gq>*> : i 9;9>@ : =Z; : =?>M D G$=JM6>G : =K ,/@ 3;9>G : =@M6>G : G$B Kxv K = #> ?.jJ@ : 0H = >M@0H (>-A #> 'ZfJG : = ;I>Bs 9@ <= : >+MB; i -M= M6Bz : @> Z;-M6@N : = >M6@0H (>-K BMh3@ BI i >#> 3@ D M /N B :pD 4 i ;9>@ : = i -M 6M60H Gq= #> ' FfJG : = k;I>3@ HpG : =K ,, i ;(>@ : = ;%G =J;9G 9B : z : ;(>M=?>% @M6=J0 H z&@ :pD w &j /f =jJG$=JH : = al M=Jj#> ' M r 9@M0H i ;(>@ : 4= 2=J;( : z : ;9>M=?>%%G$Bnw K K ,'0fG : = ;9G =;G 9B : z : ;9>M=?>%%@M=JH z&@ :D * M=Jj> PM r 9@MH PfJG : = 2=J;( : z : ;9>M=?>P|G$B w K w +K ,'|@ 3;9>G : =+@M6>G : GqB Kxv K Bu= : > jA.#> 9@ D M-& N - i 9;9>@ : = i -M M0H 6A;-MIJBFG$=JH> JG$B > : &N PM6=IJ=Jj 9@ 9BF>G D M#> K ( ( R S [bUaV p _ Z[%] S hU /mu L l D M6>@FG{BfJM;.PGqB M#>*s : *jJG D 9=JBG : =M i @9fJ@9B=?>M6>G : = : z muL *al ; : G$=J;9G$j9=J.; |@M6>#9B r 9=?>B sJG$; J@|N : >#Mmu M6=Jj+al Kmu j9>;9> : @u=I D N/@FB M@3G$=J;9@ D =?> j : =<># r @4>G$;M i M{ GqBA N/HpGq=J=JG$=Hs%Gq> : = M6>|> i$: s1@ =j M=j${ >#9=JjJGq=JHP> : =JG$= %M>W#> %IJfJ/f @ =jK * G D G i M@ i pA6al j9>;9> : @ =I D N/@B M@3 G$=J;9@ D =?>j : = #> 2 : @F"G ! : =?>M i M{ GqBA &N 9HpG$==JG$=JH+s%G#> : = M6>E># i (z> 9=Jj\M6=Jj { >=JjG$=JHO> : kM> >#'@FG$0H ?> =JjK+y*=> : >M i A #> 'mu L l D M>@G { BfJM.; ; : =?>M6G$=JB O;. i$i B9K+ M; \; i$i ; : =>MG$=B M|@M6> u; : @F@ 9Bf : =JjJGq=JHP> : Gq>B mu L al ; : G$=J;9G$j 9=J.; 6K ,9@ 0M@ P Emu L *al j FfJG : = JKmu L *al D M6>@FG{+BFfM; BAC>*s : MBFB : ;G}M#> js%Gq> M; : ;9>M=?> 3 i ;(>@ : = M=J ; : G$=J;9G$j 9=J.; 9Bus JG$; 3@ |#> Em 9@ 9= :r ; :D f : B L#> /mu L l i ;(>@ : = D M>@G {BfM; sJG i +mu L *al ; : G$=;G$'j =J; B#s JGq; j : = : > J@ #> 'm 3@ = : r ; :pD f : 3B #> 'mu L al fJG : = D M6>@G {BfM6.; K ,Zm @ 9= :r G$B @ 9j s '= M6> i MBF>>*s : : z|#> 'Oz : I@ l B0G$=OMm 9@ 9= :rO: ;(>M=?>LM3@ JGq>K ,JG$B%G$Bu> Ej J=JGq>G : =+#> JM6>%suMB0MBFBGqHp= j> : #> ' hM : @G>* : HpGq; JK ,\mu L *al D M6>@FG{ BFfM.; MBOz : IJ@ i$: ;GPj = j i MB4>Gq;A|Gq= i MBF>G$;AoNM#; p Hp@ : IJ=JjA M=jBFIJ/f @4 i MBF>G$;K , i M6BF>Gq; i$: ;IJBofJ@G D M@FG i `G$=; i Ij BPfM6@F>Gq; i BPB;M6>> 3@ j i MBF>G$;M i$i hGq=> 4 i 9;9>@ : = )fJ@ : > : = ; :piqi GqBG : =Ky*=> 4 i MB4>Gq;; :pi$i G$BFG : =A2#> D:pD 9=?>I D : zu> i ;(>@ : = M=Jj fJ@ : > : = ; JM=J0H 9BNJI>= : '= @H6 GqB i$: BF>/> :h: #> 9@#fJ@ : ; B3B B9K , i ;(>@ : = B G$= (>Gq; 9= @FH G$B B JM@ 9j/N 9>*1s .= G>3B i zoM=Jj #> >M6@0H (>f@ : > : =Mz#> @ #> ' ; :i$i GqBG : =K ,|G$'= i M6BF>Gq; iq: ;9IJB; : =JBFG$BF>BufJ@FG D M@G i : z fM@F>G$; i B B;M6>> @ 9j+G$= i MB4>Gq;-M iqi Gq= >#' i ;(>@ : = *f@ : > : =; :piqi G$BFG : =Kay*=O> /G$= i MB4>G$;o; :piqi G$BFG : =AfM@4> : z^> .Gq= 9>G$; 9= @FH : z >#'G$=J;9G$j 9=?> i ;9>@ : =<GqB iq: BF>|> :: > @|f@ : .; BFB 9BK * :pD (>G D 9BA > JG$-B = 9@Hk>@M=JBFz : @ D B >#'fJ@ : > : =\Gq=?> : Mh3@ B : =M=J; K #> '@#>G D BA > '= @H6\;3@ -M6> BM6jJjJGq>G : =JM i fM@F>G$; i B BI; M6BWfJG : =BK ,' NM#; Hp@ : IJ=Jj i$: ;IJB^G$B D MGq= i E; :pD f@G$3B j : z /N -M D M i$: M=jfM@F>G$; i B fJ@ : jJI.; j r G}M r @4 G$= i MB4>Gq;B;-M>#> 9@Gq=JHkf@ : .; BFB 9B &z : @ ({M D f i 6A MB;M6>> @ 9j i ;(>@ : = fJ@ : jJI.; jN?fJG : = fJ@ : jJIJ;(>G : = K ,+BI&f 9@4 i MB4>Gq; i$: ;IB; : =BG$B4>B : z%&N M D JM i$: M6=Jj , )( pw fM@4>Gq; i 9BusJG$; kM@3/; i MBFBGq;-M iqi z : @NJGqjJj9= D: @3 =9@H0(>Gq;E>M= i MBF>G$;PfM@4>Gq; i 9B K = ({M D f i : z Mb; i MBBFG$;M i$i #z : @FNJG$jJj'=fJM@F>G$; i LGqB : =0sG$; B .GqfJB > D MHp='9>M=JjfJMB3B B jJGq@;(> i z&@ :D >#'E>M@H 9>%> : >#'/j'9>#9;9> : @B9K , i MBF>G$;%M=jGq= i MBF>G$;uBFfM; 0;9I>B > : j = #> 'B i$: ;G : z2#> Lmu L al D M6>@FG{ M@3+j='j M6;; : @jJGq=JHZ> : jJG i I>G : =z M;9> : @B { >@M;(#> 9j~z&@ :D * * i jB;M= jM6>M K\y*= M i j B;-M6=A ># * * ;I@@ 9=?>bGqB r M@%G j<z&@ :pD > : AG$= BF> fJB : zuv K ,JGqB JMB/> &;(> : z D:r G$=H> B;-M>#> 9@ 9j fM@4>Gq; i 9B/M;@ : BBP#> 'mu L l D M6>@FG{ M=Jj G$B { f i MGq= j/N iq: sEK ,' D MHp= (>Gq; i jM6=Jj@MjJGqIJB : zL;IJ@ r M>IJ3@ kM6@ G$= r 9@3B i fJ@ : f : @F>G : =M i > : -M; : #> 9@K ,'@ (z : @ 6AM6=kGq=J;3@ -M3B bGq= D MHp= (>Gq; i jOs%G i$i 3@ BI i >LG$=OM B D M iqi @L@MjG$IJB : z ;9IJ@ r M6>IJ@ 6K * G D G i M@ i pA2Mj 9;3@ -M3B Gq= D MH= 9>G$; i jZs%G i$i 3@ BFI i >PGq= M i M6@0H 9@0@MjJGqIJB : zW;I@ r M6>I@ K * G$=J; /> # l G$B i$: ;-M6> jz&IJ@F> @0z&@ :pD #> D MH= 9>%#> JM= >#'Omu AaMZ; M@H jfM@4>G$; i s JG$; fMBFB 9B > J@ : IJ0H M<HpG r = mu M=Jjal !IJ=Jj 9@ >#'= :D Gq=M i D MHp'= 9>Gq; i js%G i$i fJMBBE#> J@ : IJ0H MfJf@ : { G D M6#> i h> BM D mu gM=JjM jJG 9@ =?>0al IJ=Jj 9@0M jG &@ 9=?> D MH= 9>G$; i jK =J; A#> '/BF;-M6>F#> 9@ jOfM@4>Gq; i 9B D:r M;9@ : BFB%> bmu L al D M6>@G {BFfM.; 6K ,@ D M6G$=J j 9@ : z0#> +3B ;(>G : = BFI DD M@F"G ! 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' +" P (' " ' ("$ $+! ,& ?F & ' " $ & O (" 3 ' * (" J " " $ & (" 3 ' * (" OF " ' " 3& -'P'FF .#L1 798 G$B : ;;I@@Gq=JH jJIJ@FG$=JH>#'E>G D o s%G$=j : s O * JKp s9@ qG B>h>@FIhfJM@F>G$; i j9>;9>G : =@M6>K : @ MfJf@ : { G D M6#> 9jkM6B pA>ZjMj>G D k ;M= N/ JK v D -MBFIJ@ 9j@M6#> GqBPfJ@ : f : 4@ >G : =M i > : >#f@ : NM6NJG i Gq>*O>#M6>P>j(>#;(> : @Ej : BE= : > @3/jIJ@Gq=JH>#EjMj>G D , 4 JK vv : @ D M i G !G$=HN : >#Z> D -MBFIJ@9jM=JjZ>@FIfM@4>Gq; i /j(>#;(>G : = @M6>B|Gq= IM>G : =JKq- > : >EN&M D ;I@@9=?>-As M r 4 JK s9@ M =Jj M@/>#= : @ D M i G !.9j D -MBFIJ@9j M=Jjh>@Ij'9>#9;9> : @ .G i jJB9AJ@9Bf/;9>G r i K * JI NJB4>Gq>I>Gq=JHW.IJM6>G : = JKqvGq=?> : W.IJM6>G : = JKqHG r 9B JK * : >#'PfM@G>*? r G :pi M6>Gq=JHM6BF DD 9>@F ;-M@F@G%j+N?>#' D -M6BIJ@3j+.G i j GqB @ i M6>j> : >%fM@G>*? r G :pi M6>Gq=JH|M6BF DD 9>@F ;-M@F@G 9j N#># >@FI .G i j M=Jj >#' MB4 DD 9>@4 ;-M6@@G%jN?+>#E; M6@H0 wpv N? 4 ! ! ! v ( ( s9@|s1 D MPIJB : z ># M=G D f : @F>M=?> @9BI i >-K y)>%B JK D 6M >#' D M6>Gq;-M i G$j'=?>G>G 9BGq= fJf/=jJG{ K WIM6>G : = JK #GqB : s%B%>#M>0>Pz M i B3EMBF DD (>@4+MBFB : ;G}M>#js%Gq>j-Mj >G D JK w ( G$B D MjIJf : zuN : >#># >@FIM6BF DD 9>@FM=j>#'; M6@H0MBF DD (>@4pK BG D f i @ M@F@M=JH D =?> : z WIM6>G : =JK HpG r 9B|>#fM6@Gq>*? r G :pi M>G$=HM6BF DD 9>F@ h;-M@F@G 9jZN?Z>#' >@FIP.G i j 4 v ( JK ) v6 B B3 : s%= 9@6A >#'Oj'-Mj>G D ; : @@9;9>G : =j9f&9=JjJB : = >#+>#'+@M-s!MB4 DD 9>@FpA >#' jJG i I>G : = z M;9> : @A.M=j>#L; M@H PMBF DD (>@4pK,9@(z : @6A>#@@ : @uM6BB : ;G$M6>#9js%Gq>#> ' jMj>G D ; : @F@;(>G : = MBWN : ># BF>M6>GqBF>G$;-M i M=Jj B4 B4># D M6>G$; ; :pD f : =9=?>BK ,%BF>M>G$B4>Gq;-M i fM@4> : z ># @F@ : @%GqB%MjJj9jkGq=OIM6jJ@M6>IJ@P> : > D MGq=BF>M6>GqBF>G$;-M i @F@ : @9K =MfJfJ@ : M; > : j'9>#9@ D G$= GqB/> : f i$: >P>= : @ D M i G !.9j .%G i j r 9@BFIJB/N -M D ;I@@9=?> B G$HIJ@ JK K ,JGqB+MfJfJ@ : M; sMB+IJB9j > : /f @4z : @ D M\;@FIJj <j Mj>G D ; : @@9;9>G : =z : @W>#'0fIJ@f : B : z BF>IJj.G$=JH i Gq=-M6@a@9Hp@ 9BBG : =B i$: &f 9B &B * 9;9>G : = JKxw K , >#9@ D ;9@IJj' @39z @FBL> : >bz M;(>L>M6>0#> E#> 9; J=JGq.'I #j : BL= : >LB fJM@M6> /> #B : IJ@F.; B : z >#'Oj'-Mj>G D K ,'Oj'@G r M6>G : =\#> M>z :pi$iq: s%BGqB MjMf #> j z&@ :pD w K ,hmu L *al ; : G$=J;9G$j9=J;. @M#> G$BEM; :pD NJG$=M>G : = : z> @ M i M=Jj@M=j :pD M;;9G$j 9=>M i ; : G$=;G$'j =J; @M#> B JK s9@ GqB Jf @ : f : 4@ >G : =M i >#P>#'/N/-M D ;IJ@F@9=> JKxv M=Jj G$B Jf @ : f : F@ >G : =M i > : >#'/BFIM@ : z >#EN/-M D ;IJ@F@=?> JKxv IM=?>G>*GqB ({ f&9;9>j> : N/>#'OBFI D : z0>#+s%Gqj>#JB : zL>kmu M =Jj a l > G D Gq=JHH?M>#B9K * IJNJB4>Gq>I>Gq=JH WIM6>G : =JBJKxv M=Jj JKxv EG$=?> : WIM6>G : = JK G% i Jj B JKxvpv , |G r GqjJG$=JH IM>G : = K vpvN?+>#'/N/-M D ;IJ@F@9=>BLHG r 9B JKxv v WIM6>G : = JKxvG$BuMBF>@MG$H > i G$='As@3E>|? *Gq=>@F;.f >%G$B>P= : @ D M i G"! j@M6># : z^@3-M i ; : G$=J;9G$j9=J;.9BLM6=JjO>Ej-M6j>G D PGqB * IJNBF>G>I>G$=JHhW.IJM6>G : = JKxv JKxvkG$=?> : IM>G : =JK hHG r 9Bb>= : @ D M i G"! j<>@FIj'9>#9;9> : @ .G i j ( JKxvp ,@3BI i >B : zn>jMj>G D ; : @F@9;9>G : = M@3BI DD M@G !.jhG$= ^MN i BJKxvM=JjJK K , BF.B4># D M6>G$;0jJG&@3=J; LN/9>*s1.9=>#0j-M6j>G D %B iq: f/B z : @ M=JjC@3=J; : ;(>M=?>BnG$B = : > IJ={ f&9;9>#9jA2HpG r =>#9G$@ B :D (sM6>%jJG 9@ =?> i ;(>@ : =JG$;9BK v Prob p0 p1 χ2 / ndf 1.999 / 2 Prob 0.3681 p0 1.965 ± 0.009171 p1 -0.00168 ± 0.0002231 2/2 0.3679 2.004 ± 0.01575 -0.002488 ± 0.0003822 2.05 Octant 2 Yield (kHz/uA) Octant 1 Yield (kHz/uA) χ 2 / ndf 2.1 2 1.98 1.96 1.94 2 1.92 1.95 1.9 1.88 1.9 1.86 1.84 1.85 1.82 10 20 30 40 Octant 3 Yield (kHz/uA) χ2 / ndf Prob p0 p1 2 1.8 0 50 60 Current (uA) 10 20 30 2/2 0.3678 1.964 ± 0.01794 -0.002889 ± 0.0004365 1.95 40 χ2 Octant 4 Yield (kHz/uA) 1.8 0 50 60 Current (uA) / ndf 2/2 Prob 0.3679 p0 1.845 ± 0.007789 p1 -0.0008585 ± 0.0001891 1.9 1.88 1.86 1.84 1.9 1.82 1.85 1.8 1.78 1.8 1.76 1.74 1.75 1.72 10 20 30 40 Octant 5 Yield (kHz/uA) χ 2 / ndf Prob p0 p1 1.9 1.7 0 50 60 Current (uA) 10 20 30 2/2 0.3679 1.813 ± 0.0174 -0.001858 ± 0.0004257 1.85 40 50 60 Current (uA) χ 2 / ndf Octant 6 Yield (kHz/uA) 1.7 0 Prob p0 p1 2 1.98 2/2 0.3679 1.947 ± 0.01185 -0.001521 ± 0.0002791 1.96 1.94 1.8 1.92 1.75 1.9 1.88 1.7 1.86 1.84 1.65 1.82 10 20 30 40 Octant 7 Yield (kHz/uA) χ 2 / ndf Prob p0 p1 1.8 1.8 0 50 60 Current (uA) 10 20 30 0.3674 1.722 ± 0.008393 -0.00227 ± 0.0002048 1.75 40 χ 2 / ndf 2.003 / 2 Octant 8 Yield (kHz/uA) 1.6 0 Prob p0 p1 2 1.98 50 60 Current (uA) 2.001 / 2 0.3678 1.944 ± 0.009134 -0.001558 ± 0.0002214 1.96 1.94 1.7 1.92 1.65 1.9 1.88 1.6 1.86 1.84 1.55 1.82 1.5 0 10 20 30 40 50 60 Current (uA) 1.8 0 10 20 30 40 50 60 Current (uA) !$HJ)=G#>? :B # =>B&!:7$E 7::)H 9 E!$!6 %' &!<:)9 9 '*)"%'I !$' HJ !$#9 )"% 9 '*)"%'+7 )"!6<#4%C' =>: '/9:= EH% )"%FB !6 %F9 , 9 '*)"%'+7)"!6<#4% ' !$# '/9:=GEH % I /8F= '+7<)"!6 '+':B'* ) = #4%F )% BD' <8)"!6)HJ&' !:7J)"!6 B"# 7A8F=>) B #4% )D7$'*)"'+# 7$'A#9$7: )' ' ' 8 5 ) 9 ,8F= 'I !$!6"!:7% ' %F"!$H )"= #>?@:B #&=>BC)!6 7 9:)=>:B )&)9 '! -' 7&E)"!6!6@' ' !6:BE9::B I 8)"!6)HJ '* ! C# 7' #4%('* !69:*8 ' )% B # 7 ' 7$=>:8@I 5B )')D)!6 :!6"H 9 E!$!6&%(' 7 9:)%7 I v v ;9>M6=> ! v K pK?w pK pK ? pK pK ? pKxwpv pK K?v K K? v K K? v K K K w $-,: ,+!> ! ! K?v pa K w bv6a K ?v pa K bv6a K pa K /a K ?v6 bv6a K bv6a ) &;,+ ENO HP:QIGL/+R)!/:)@S#84T#U E.#&*$'./ !"#%$'&(*)!#++!),$-/.0 21 /. 3 , 0BA #+45 WN 5$'.6,+)!879/.*:!7 * C!/$'&;ED/FGIH,FJ#. !#&V)@++,.2 +%72!)@%$ &fJf D p K K pKxw Kx pKxvpw Kxw pK v K K wpw v.K v K K v.K K v K v.K !#&?)@++4@. w Kx pK K K K pK v Kx K K pK J JK ?v K K?v Kxwpv JK ? K .#+&;#$:<=! /K,LM & 0 @9=J; pKxv K ?p pK w K ? p K?v Kxw p K ?v K 2 X -TZ]|[#V fhgi !#%$'&;*:472Y7+@,@.6!ZM $'.28,+)!679#. jlk 3 $dE 3,[ $'.\.2$'R 5] 1 `ab 9c [ WN_^ @+ 1 $d e:!7 =0 ]|YVW] T Jmemekon y)z : @ Gq= W.IJM6>G : = JKq ; M6=JH B/N ;-M6IJB : zM=?.> JG$=H : > 9@|> M= > BfG$= f ? BFG$;9B : z0> OGq=?> @M;9>G : =A > =~Gq>GqB M z M i B M6BF DD 9>@FK G$B@ 9BI i >BG$= > B D G$=JH i IJ=M6>F>MGq=MN i LH :pi j 9=@I i Lz : @fM@FGq>* ({ f @FG D =?>B W= : N M D fJ@ : f 9@F>* : > 9@ > JM=> N M D f :pi M@G !-M6>G : =/B : I i j; JM=JH us 9=> uN -M D f :pi M6@G"!M6>G : =/@ r @FB B BFG$Hp=K =?> G$=JH> M>E; M=JH 9B/s%G> i G$;9Gq>*? *@ r 9@BM i G$BEBMG$j<> : N i G$;G>*? *; : @@ i M6> jK N -M D fJM@M D 9> @FB D: =Gq> : @ jz : @ i G$;G>*? *; : @@ i M6>G : =M@ \p #s rq vs Mswt Mt =t"t y Msvt Ms ut vt Ut #s t =t t xt #s Mszsvt =t t t t Msvt ut t {Pf : B G>G : =PjJG @ =J; Ut t "t ;s Ms Mswt =t Mswt Ut =t utrsvt =t Msvt Ut t ;svt t =s t ut Lsvt ; M6@H nMB4 DD 9>@4 #s =t =t t =s Ms ut =svt t Ms t =t Msvt t =t =t ;svt =t |{ { { p { px} p JKxv q q JKxvpw q Ef : BG>G : =|jJG 9@ =; 9t =t ot Ut =t Ut t 9t =t p q "t 9= @FHEjJG 9@ =; t vt p ot JKxv . p q ot /M=JH i WjJG @ =J; t p {/M=H i ajG @ 9=J; . t vw JKxv JK q q JK # #z : @ D M i GqB D M6=JjZj 9@G r M6>G : =B0> M6>0z :pi$iq: s M@ />M =Zz&@ :pD pw K D -M6BIJ@ j .G i j GqBbM+; :pD NJGq=M6>G : = : z > fM6@Gq>*? r G :pi M>G$=H.G i j 0 M=Jj > . G i j jJI > : i G$;9Gq>*? *; : @@ i M6>G : =JBGq=+N M D fM6@M D 9> @B ;svt vt =s %t =t t Msvt svt t Ut ;svt %t Mswt t t t wt t =t JK ?v 0 s 9@ > WBFIJf 9@BF;@Gqf> G$=JjG$;-M> B> f : BGq>G r : @= 9H?M6>G r i G$;9Gq>*LBF>M6> 6K )y z.s nMBFBI D M i Gq= -M6@@ i M6>G : =B JGqfN 9>*s => i G$;G>*? *; : @@ i M6> j G i j+M=Jj+> |N M D Jf M@M D 9> @FB AJ> = Lsvt =t Msvt vt Ut =t =s ut Mt Rtot } =svt t MswtJsvt vt =t tEsvt =t t Mt Mswt *t t Ut t =t =svt ! $# p " " s &% (')+., - *' , /1032 5467%8% i:9 28/ 6<; 0 i 6f 567% 2 oj 2 4 2 6<%=% 0 f>6<; 0 2 6 2 @? 9BA f 9 % 97A 2 %# C6 08/ A f i / z 2 /D0 ;$6 2 9 2E/ 67;GFJs % 9sH% /D2 2 I4&6<%8% i19 2E/ 6<; 0 i 6f 9 0 'J' )K.,-* , N L M #%W PO 9 2E/ 6<; $# p 2 &;Q? 4&6 A 0 $# R M 9 ;JjkWSO 9 2E/ 6<; $# ?v4 9 ;T? PsH% /D282 ; 9 0 $# ? 0U M Lsvt =t svt =t Ut s svt *t ut =t t svt svt vt t =t t t svt ut t t Ut t Ut t } v 9 / ; 2 /D0=0 O$? 02E/ 2 O 28/ 6<; / ; 2 6 2 A 9 0 O% j 9 0 A A 2 %4 s svt /r 0 t =t t p p 0U 0U 0U U0 p q } M M } $# q q p q $# M F 2 ; M 0U 0U 0U 0U 0U 0U 0U 0U M 0U 0U # 0U M ? 97A 9 % 97A 2 % / &% ;4 &% /10 2 # 9 ; 2 9 % 9 / "!# /D0 / ;$? % 0U 0U J# % "& 6<% 7F 2 & 9 ! 0 9 0 A A 2 %' $O 2 6 (! / 4 / 2 $) 46<% % "! 9 28/ 6<; 0 / ; ? 97 A $9 % 97A 2 % 0=/10 R M # % 9 ;* &; 0 6<; 2 H467%8% "! 9 28/ 6<; 0 !16 7F ? 9B+ A 9 % 97A 2 &,% / % ;$4 7F 9 ; 9 &% 9 - / "!#G# ; 2 4 9 ; .6 & 2 / / "!#10 /D0 32 0 # 4 M 0 32 ;PO A ? &%I76 & / ; ; ; 2 ? 978 A $9 % 97A 2 % 0 F 9 ; 90 L % 9 ; &% 65 /D0 2 0 L 9 % 2 - / 9 28/ 6<; 0 .6 & 2 A 9 0 O% (: / "!# 9 ; ? 97; A $9 % 97A 2 % F % 0 4 2E/ (!<<=F & % 6 A 2 A 9 ; 0 .6 & 2 / % $9 % &; 2 /D0 2 % / ?$O 2E/ 67; 0 # M 4 9 ; ? * 2 &% A / ; " ? 2 ! 9 02 ) ?0 > O 9 % 0 A 2 $@6 GF / 2 BA ; " 9 0 M 0B 0 A R # DC y 0 0 O A / ; 2 9 2 0 t s p q } p } } q svt p q } p p q } q p } q } p q } } svt =t svt Ut t t 9t =t ot p svt vt t t t xswt q t p =t ut t t } ;svt t q t svt t t , vt t ;svt svt svt =t vt #s =t t svt svt vt t swt t t svt t wt s t Ut t t svt t t t ut vt svt t ut "t t t t t Ut =t =t t s svt t =t vt vt =t t t ut t ut wt t t vt 4 &% C D/ 0C2 O$;$4 &% 2 9 / ; 2 .6 &0 M 0B / ; A 9 0 O$% A ; 2 8# ? 0 2 79 !1O 0 & 67% M 9 % 6<? 2 9 / ; (T?$ A / ; / A / ! / ;A # % "& 6<% 7F M /10 2 % A / ; (Q?$ 2 &4 6<; 0 2 % 9 / ; 2 2 92 A # "M /D0 ! 9 0 2 6 9 0 2 .6 &=5 > O 9 28/ 6<; 0 " 0B 0B 0 # M C & 9 080 O A 2 9 2 9 !#! A 9 0 O% A ; 280 9 2 0 97A 02 9 28/10 28/ 4 9 ! / 2 C C JF 2 ; > O 9 2E/ 67; # ? 4&6 A 0 0 0 # ! M 0B 0 02 % 9 / 2 9 &% 9 .6 & A 9 0 O$% A &; 2E0 # &% BF 9 % ! 9 4 " /D2 2 &% 0 0 % /D0 2 9 &% 9 % 6 $O4 2 .6 & 2 / 9 2E/ 6<; 0 .6 & 9 ; 9 ; /10 2 4 2 6<% 46 ) / "!# 9 ; 2 ? 97A $9 % 97A 2 % 0 F / ! 0 0B /10 2 9 % 9 B9 % / 9 ;$4 ? 2 &; 2 46 B9 % / 9 ;$4 A 9 2 % / .6 & 2 ? 97A % 6 $O4 2 .6 & 2 : / 9 2E/ 6<; 0 .6 &3 9 ; 9 ; /1052 # 36 79 % / 9 ;$4 % 6 / 0 9@A 9 0 O$% =76 & 6 0 2 %86<; 2 =46<% % "! 9 28/ 6<; /D0 ? 2 ; 9 % 97A 2 &% 0 2 %6 / &% ; 2 > O 9 ; 2E/ 2E/ 0 # 46 B9 % / 9 ;$4 & 67% 2 6% 9 ; $6 ; A 79 % / 9 ? ! 0 9 ; /10 ; ( 90 0 0 L svt =t svt t ot t wt ;svt t t t vt t ;svt t Ut vt vt svt s ;s t t t t t s t swt ut svt =t t s t t ut t tot svt t t s t swt t t s svt t swt s svt t swt t t t ut 9t =t vt t t t ;swt t s t t =t =t ot Us t svt t svt svt "t t svt svt ot =t vt vt t s t ot svt "t =t =t } ut Ut %t t t"t vt wt # 6<% O$;46<% % (! 9 2 " 79 % / 9 ?! 0 F 2 =46 B9 % / 9 ;$4 /D0 ! &%86$# 5O% / ; &; 2 ? ; 2 %86P4 080 / ;$F %8O;$; / ; 9 &% 9 0 6.& F>F 9 ; ># 2I2 ; 6.& 2 % ! 9 <F 2 % 9 #4 6.& 2 0 0 /10 4&6 A O 2 "G# > O 9 2E/ 6<; # 4 9 ;T? % /D282 ; / ; A 9 2 % / & 6<% A # t =t t t"t %t swt swt ot t t Ut t t ot Jt y t t svt t t ot svt =t 4 &% svt =t 0 0 L 0 % 0% .0 % 0 L B 0 0B 0 0 0 M M 0 0 t t vt (t 9 ; 4 9 ;T? s # L 70B 0B M > O 9 2E/ 6<; # 1/ 0 9 0 2 .6 & 5 ! / ; 9 % > O 9 2E/ 6<; 0 D/ 2 B5 $O ; S;$6 ; 0 M 0 6.! "Q? / ; % 2E/ ; 0B 0 0B ut t q # O 2 9 2E/ 6<; 9 ! ! <F / 2H/10 A 6<% 4 / &; 2 2 6 0 6! 2 /D0=0 2 A ? 4&6 A 6 0 /D2E/ 6<;G# 2 9 / ! 0 .6 & 2 /10H2 &4 $; / > O 9 % / &; / ; # O 6 0 9 % 9 ?! 2 6 % / 2 2 A 9 2 % / 9 0 9 % 6 $O4 2 .6 & 2 6 A 9 2 % / 4 0 # / 9 <6<; 9 ! 9 ; ? (!16 9 ; &% /10 !16 % 2 % / 9 ; <O! 9 % 9 0 (! A ; 2E0 6<; !< 6<; 2 /10 O % 2 % / 9 ; 7O! 9 % 9 0 "! A &; 280 6< ; ! 6<; 2 % / 9 <67; 9 ! 9 ; 9 ?K6 J# 6<% 2 4 9 0 I6.& 9 A 9 2 % / F & 6<% 97*A ! BF > O 9 2E/ 6<; # 6< O !#1!16P6 ! / 36 * A =tZt vt s t #s wt t t t t s t t vt t t ;svt %t t svt ot svt =t t s t s t %t t swt ut svt t svt t t t %t t t t ;t # 4 # 4 9 ;TO 0 9 4&6 A 6 0 /D2E/ 6<; 0 $O 4 9 0 > O 9 28/ 6<; # 4 2 6 0 6 ! 2 ! / ; 9 % 0 2 t vt #s t swt vt t ? % 0 2 0 6! / ;& 6<% 2 svt 4 4 4 2 6<% 0 O$4 2 9 2 t #s s # 9 ; 2 ; 0 6! / ; swt # 7 9 B9 ; 2 9 6.& ?% 9 / ; O 6<; ! / ; 9 % 0 25/ ; 2 6 2 6 ! / ; 9 % 0 O$44 0 08/ 6<; 0 /10H2 9 2 2 0 6!1O 2E/ 67; 6.& 9 2 % / 9 ; <O! 9 % 0 2 6.& > O 9 2E/ 6<; 0/10,> O / 2 2 % / / 9 ! # SO 0 F > O 9 2E/ 6<; # @4 9 ; ? 0 6 ! (T? & 6<% 9 %' 0 O$? 0 28/D2 O 2E/ 6<; 9 0 & 6 !#!D6 0 ;svt t =t vt swt t ut t vt 9t t "t t vt s ;s t s /! + 2 4 q # O 9 2E/ 6<; # 7 4 9 ;T? 0 6! (T?$ ? 9 4# 9 ?% 0 O$? 0 28/D2 O 2E/ 6<; > %t wt Ut t # 02 9 28/102E/ 4 9 ! O$;$4 % 2 9 / ; 2 6.& M /D0 2 % A / ; ( 9 44&6<%? / ; 2 6 2 4&O$% B9 2 O$% A 9 ) 2 % / 67& A .# 4O$% B9 2 O$% A 9 2 % / /102 0 467; 4% 6 080 9 % 2E/ 9 ! % / B9 28/ H6.& A /D2 % 0 4 2 2 6 2 6 9 %8? / 2 % 9 %' 46<% % (! 9 2E/ 6<; 0 !D6 0HM 9 ; M 0 0B A 4 4 4 0B <0B # L M" M C C C & 6<% 9 ! ! 9 ;# " " / ; % 0 6.& 2 4O% B9 2 O% A 9 2 % / /D0=2 % %86<% A 9 2 % / C # L ;svt vt t t p t svt =t t svt t t t s Y svt =t =t vt t vt ;svt + 2 "t ;svt =t 4 q svtBt q @ C6 79 A 9 % 97A 2 &% 0 zt t t / ; 2 0 2 9 ? / ! /D2 .6 & 2 0 !D6 0 6 &% 28/ A 7F 2 0 !16 2 &% A / ; " O 80 / ; ; 9 2 O% 9 ! ? 9BA A 6 E2 / 6<; 9 % !16 82 2 " vt vt t swt svt vt t ut t t swt t t t 0 .6 & 2 80 / ? 79 A % 0 O 0 % O$; S; O A ? &% t svt ut Ut 4 6 &% 2 $O% 9 28/ 6<;(6.& 2 @%8O$; & 67% 9 !#! / 2 6 4 2 9 ; 280 # Q0 !16 0 9 % 0 $6 ; / ; / <O$% # # 2 /10 / ; 2 % 0 28/ ; 2 6 ;$6 2 2 9 2 2 0 !D6 0 / ; &%' 6 4 2 9 ; 2 9 % Q4&6<%8% (! 9 2 ( /D2 9 4 6 2 &%# 6<% 97A* ! BF 9 %8O; / 4 9 0 9 ? / 0 !16 / ; 6P4 2 9 ; 2 4 9 ! 0 6 9 0 ? / 0 !D6 0 / ; &%' 6 2 % 6P4 2 9 ; 2 # % O$; ) ?$) %8O$; O$4 2 O 9 2E/ 67; 0 9 % A O$4 :! 9 %' % 2 9 ; 2 / % 467%8% 0 6<; / ; 0 2 9 2E/D0 28/ 4 9 ! O$;4 % 2 9 / ; 2E/ 0 # ; / ; / 2E/ 9 ! $ 6 2 08/D0 9 02 9 20 0 2 A 9 2E/ 4 4 2E0 0 O$4 9 0 ? 97A 9 !16 46<O !# 4 9 ; 2 0 ; 08/D28/ /D28/ 0 6.& 2 : 2 4 2 6<% 0 # 02 O 6.& 2 T%8O; )?)% O$; $O$4 2 O 9 2E/ 6<; 0 F 9 0 / ! !3? B /10 4O 0 0 ( ! 9 2 %F% 9 ! " 2 9 2 2 B! 9 %? 9 ; QO$; 08/ 4 9 ! 0 !D6 0 9 % 2 % 0 O! 2 67& 9 0 6 A 2E/ A 0H/ ; &4 2 O 9 ! ? 97A 2 % / 4O 2 # 6 2 % H? 97+ A 9 % 97A 2 % 0 / ? / 2 0 2 % / / ; !< 0 / A / ! 9 % ? 9 / 6<%# / <O% # 0 6 02 0 !D6 0 .6 & 2 08/ ? 97A 9 % 9BA 2 % % 0 O 0 %8O$;T;SO A ? % & 6<% 9 2 / 4 9 ! 6 4 2 9 ; 2 # t svt svt t t t Ut #s svt t t t t t s s svt Ut #s t Ut svt t ut =t svt y t t t =t svt t #s t ut t vt 9t s s svt s svt t t hs t t t t t swt utos t =t t 5s s t s t ut t t #sls t s s t t =t =t svt svt t t ;swt ot #s ;svt svt %t =t t Ut s =t vt t t y t %t s Ut svt t ;svt =t s swt 4 . dY/dx/Y (%/mm) 10 2448 / 89 0 0.5346 ± 0.06973 8 6 Octant 2 dY/dx/Y (%/mm) χ2 / ndf Prob p0 Octant 1 2 2 0 0 -2 -2 -4 dY/dx/Y (%/mm) 10 1807 / 89 0 0.4187 ± 0.07093 8 6 28820 28840 28860 28880 28900 28920 28940 28960 28980 29000 29020 run Octant 4 dY/dx/Y (%/mm) χ2 / ndf Prob p0 Octant 3 10 6 4 2 2 0 0 -2 -2 -4 χ 2 / ndf 1777 / 89 Prob 0 p0 0.3082 ± 0.0692 8 4 -4 28820 28840 28860 28880 28900 28920 28940 28960 28980 29000 29020 run 10 3155 / 89 0 0.9416 ± 0.07364 8 6 28820 28840 28860 28880 28900 28920 28940 28960 28980 29000 29020 run Octant 6 dY/dx/Y (%/mm) χ2 / ndf Prob p0 Octant 5 dY/dx/Y (%/mm) 2160 / 89 0 0.5453 ± 0.06803 6 4 -4 χ2 / ndf Prob p0 8 4 28820 28840 28860 28880 28900 28920 28940 28960 28980 29000 29020 run 10 χ 2 / ndf Prob p0 7023 / 89 0 1.11± 0.06973 8 6 4 4 2 2 0 0 -2 -2 -4 -4 28820 28840 28860 28880 28900 28920 28940 28960 28980 29000 29020 run 10 8 6 28820 28840 28860 28880 28900 28920 28940 28960 28980 29000 29020 run Octant 8 dY/dx/Y (%/mm) χ 2 / ndf 1938 / 89 Prob 0 p0 0.534 ± 0.07559 Octant 7 dY/dx/Y (%/mm) 10 10 2668 / 89 0 0.6058 ± 0.06858 8 6 4 4 2 2 0 0 -2 -2 -4 χ2 / ndf Prob p0 -4 28820 28840 28860 28880 28900 28920 28940 28960 28980 29000 29020 run 28820 28840 28860 28880 28900 28920 28940 28960 28980 29000 29020 run 8+.U2),%2#%$-#. :472@ M ,6,+&R$'.!x>$'. .#%+# !#& *+. #+L#'u,$ =)@8#.-,0 A C ,,.)!L :472@;/+$'. @$'& =77 Lc #eSM60 &*$->:; R+.(72@+$-=Z)4/++@72#.ME8CC$'&; c ,. 0uY@ #+Y / @+ !#& 72#+/&(,6,+!#+4 $'&*$':#+,0 A :!7 @#+4u8!e6RR)!/. 6/.2 * 2 x. &;#%$-#.xM,+* L#+/$-/.x 4 * v. 8+. 92)@%2#%$-#.2e 5!S472E 5!$ 4/& 72#+/&(,8@+EME,8@+&*$'.! >$'. .#%+/ !#& &;#%$-#. #@+T Z#+/$-/. 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( 0 !D6 0 # % 9 0 6<:; & 6<% 2 9 / ; 2 0 2 9 ; 9 '% / 9 2E/ 6<; .6 & 2 / ; / / $O 9 ! 0 !D6 0 % 0 O 0 9 08/ A ! % 6 9 9 2E/ 67; .6 & %8% 6<% 0 /D0 ? &4 9 O 0 6.& 2 ! 9 ?% %8O$@; )? )%8O; O4 2 O 9 2E/ 6<; 0 /D0 4O 080 " / ; 4 28/ 6<; # # # 36<; 0 > O &; 2 ! 7F 2 % %86<% 9 0 0 6P4 / 9 2 ( /D2 2 9 &% 9 0 !D6 .6 & 9 ; 6P4 2 9 ; 2 4&6 A ! 2 (!< / <;6<% 02 &%8% 6<% 0 .6 & 2 / ; / / $O 9 ! 0 !D6 0 .6 & 2 9 2 6 4 2 9 ; 2 4 9 !14&O ! 9 2 ( & % 6 A 2 /! / ; 9 %3% (7% 0 08/ 6<;G# / ;$4 2 0 4 2 % 6 A 2 &% /10 9 / A O 2 9 !#! 0 A A 2 % / 4BF 6P4 2 9 ; 2E02 9 2 9 % !16P4 9 2 ( 6 6 08/ 2 76 & 9 4 6 2 % 0 6<O !# / 9 ! ! 9 0 ; 08/D28/ /D28/ 0 2 6 ? 97 A 6 08/ 2E/ 6<; 9 ; 9 ; ! 2 9 2 9 % > O 9 ! / ; A 9 <; / 2 O 9 ; 6 6 0 /D2 / ; 08/ 7;G# 4 2 9 ; 280 9 ; 9 % !D6 4 9 2 " 6<; 2 ) 9 /D050 6(6<; 6<O !# 4 232 / % 9 ; . 0 !16 0 2 6I? <% 9 2 0 2 # / ;4 6P4 2 9 ; 2E0 9 ; 9 % !D6 4 9 2 " 6<; 2 $) 9 /10 F>67; 6<O ! 4 2 2 / % 9 ; . 0 !D6 0H2 6 ? 0 A 9 !#! 0 2 # &;$4 BF 2 9 ; . 0 !D6 0=0 $67O !# B9 '% 6! / @46 08/ ; /D2 2 9 % 9 76 & 9 4 Q6P4 2 9 ; 2 # 08/ A / ! 9 % !1.6 / 4BF 2 9 ; 0 !16 0 0 $6<O ! B9 '% 08/ ;SO 0 6 / 9 !#!< / 2 2 9 % 9 76 & 9 4 6 4 2 9 ; 2 # 9 !#!<<F ! / ; 9 %=% (<% 0 08/ 67; /10 &'% & 6<% A " 9 & 2 % 2 % 9 2E/ A 4&6<%8% 4 28/ 6<;+# 6 %&F 08/ ;$4 9 28/ A /10 ;$6 2 (! ! O$; &% 0 2 6 @6 9 2=2 /D0=2E/ A 7F 9 46 *A ! 2 / 9 28/ A @46<% % 4 2E/ 6<; 9 0 ;$6 2 2 ? ; / A ! A ; 2 (G# % "& 6<% 7F ! / ; 9 %3% (7% 0 08/ 6<; 9 0 &'% & 6<% A " % 0 2 # ; / <O$% # F 2 9 &% 9 0 !16 0 ;$6 2 4&6<%8% 4 2 ( & 6<% 9 28/ A 2 &% A / ; " ? ; 9 2 O$% 9 ! ? 97A A 6 2E/ 6<; 9 % !D6 282 ( 9 9 / ; 0 2C2 9 % 9 .6 & 9 4 6P4 2 9 ; 2 # C6 0 $6 2 0 !16 0 t t t vt t t t t t =t Ut vt svt vt Ut s svt svt t t t s swt swt t t t svt t wt t vt t t t svt t t t vt s %t svt t t t t vt swt s ';svt t t t t t svt t swt vt =t t t( t t ot Ut swt #s t t t vt t t t #s t t& =t wt t ' t %t #s wt #s t vt t =tBt %t t t t s &% t t swt svt ut s t t t svt ot t t t s svtTt t ot s t Ut"t t swt =t t t wt t t t =t t =t t swt ! t t vt vt t vt =t Ut Ut t s swt t =t vt vt s t Ut t svt t svt "! %t t svt t t svt ot t s t Rt t s t vt t t s $# s t svt t t t t ;svt ut s t t #s t svt t vt 5t #s Ut t t t Ct svt #s t t ;svtrt t t ;svt s ut svt svt t t t t t t t t =t t svt svt t svt swt ut t t ut svt ut t t t vt swt =t t t svt ;svt t svt 4 wt t t =t t vt t"t;s svt t % ? 9 9 & 2 % 2 ?$O ! 6.& 2 4 9 %? ; &;$4 A O$4 6.& / 4 % 0 O A 9 ?! 9 % /D0 0 $O 2 6 9 2E/ A /10 % A 6 "GF 9 4% O 9 2E/ A I46<% % &4 2E/ 6<; 9 0 &%'& 6<% A " & 6!#!D6 " ? 9 % ) 4 9 !D4O! 9 2E/ 6<; 6.& 2 ! / ; 9 % % "<% 0808/ 6<; 0 !16 0 # 2 4 $; /#> O 9 ;Q% 0 O! 280 67& 2 4% O / 9 28/ A 4&6<%8% 4 28/ 6<; 9 % %86 / " / ; &4 28/ 6<; # # 6<% 46 A* 9 % /10 6<;GF 2 9 % 9 9 2E/ A 467%8% &4 2 ( 0 !D6 0 2 &% A / ; " ? ; 9 2 O$% 9 ! ? 9BA A 6 2E/ 6<; 9 % !16 2 2 " 9 9 / ; 0 2 2 9 % 9 .6 & 9 4 6P4 2 9 ; 2 9 ;T6 %'! 9 / / ; 2 0 97A / 7O$% 9 0 2 9 % 9 0 !16 0 ;$6 2 4&6<%8% 4 2 (1& 6<% 9 2E/ A 0 / <O$% # # I6P4 2 9 ; 2 ;PO A ? &% 9 ; 9 % 9 9 % % "! 9 2 ( 9 4&46<'% / ; 2 6 / <O$% # # ! ! .6 & 2 0 9 2E/ 9 ! 9 % 97A 2 &% 0 F KF . F 9 ; 9 28/ A 4&6<%8% 4 28/ 6<;+# /10 /102 % 0 O ! 2 .6 & ! 9 ?% &%8%867% .9 9 % 2 6I? O$; 9 4 2 "($? 2 ? 9 % 0 &% / ( & % 6 A 2 ! 9 ?% %8O; )? )% O$; O$4 2 O 9 28/ 6<; 050 $6 ; / ; / 7O$% # # 6 2 2 O$;SO 0 O 9 !#!<*<6 @6 *A & 67% 9 4 2 # 54 9 '% 0 !16 0 / ? /D2 9 ; @6 % 0 O 0 ;(6P4 2 9 ; 2 &; ;4 9 & 2 % 2 9 28/ A 46<% % 4 2E/ 6<;G# /10 4 9 ; ? 9 282 % / ?O 2 " 2 6 / % ;$4 05/ ; (! 4 2 %867; / 4 0 ? 2 ; 2 6<% 2 A % / 4 9 ; F F F 9 ; % ;$4 F F F @6 4 2 9 ; 280 # 08/ A / ! 9 % 9 2 2 &%8; 9 0 6<? 0 % " / ; 2 -& 67% 9 ?% 9 ; .! % / A ; 2 # 44&6<?% / ; 2 6 2 4 9 '% !16 2 F 2 H4&%8O 9 2E/ A H4&6<%8% 4 28/ 6<; .9 9 % 02 6 6 &% )4&6<%8% 4 2 # & 2 H46<% % 4 2E/ 6<; 4 9 '% 0 !16 9 & 2 % 2 4% O 9 2E/ A 46<% % &4 2E/ 6<; 6<O ! ? %86# % &'% & 4 2 F 2 %86 A 2 4 9 '% !16 2 F 2 46 A ? / ; " &4 2 .6 &5% 9 ; $6 A 46 / ;$4 / ;4 0 9 ; 9 2E/ A /10 9 ?K6<O 2 ) ) # B; ; 9 2 # 44&6<?% / ; 2 6 2 T% 0 O ! 280 .6 & 2 T4% O 9 28/ A 46<% % 4 2E/ 6<; 0 9 ? ! # F 2 T46 A ? / ; " &4 2 76 &5% 9 ; $6 A 46 / ;$4 / &;$4 0 9 ; 9 2E/ A 9 2 % 9 ; 0 & %86 A 9 ?>6<O 2 ) 2 6 ) &; / ; O 6<;T6 4 2 9 ; 2 ;SO A ? % J# utos t t vt svt vt svt ! t =t vt t t swt t t =t t t t vt t Ut t vt t t t ut svt t =t t It vt svt svt #s svt vt vt ot t ut t ut " t t =t t"t y %t t y "t y y swt svt =t =t ut ot # t vt y t swt svt vt swt t Ut t t t t vt t t t #s t 9t t t vt t t t t vt t =t =t t t t t swt t t s %t;t vt t t t svt svt % t swt Ut ;s t t t =t ;s t t t t vt t t swt % wt #s y svt t =t t t svt ;svt =t s t t vt t t vt #s t #s svt ;svt t t s svt svt t svt vt #s t t ut y wt tot #s t ;svt t s =t t t t t =t svt svt ot vt #s vt tot t t ot t Rt #s t #s vt Ut vt =t t t t vt vt t vt =t =t t t vt t =t wt vt svt vt t t t vt #s t 9t t % vt t 1.5 χ 2 / ndf 1.01 / 6 Prob 0.9852 p0 0.5437 ± 0.1537 p1 -0.1223 ± 0.2032 χ 2 / ndf 0.9949 / 6 Prob 0.9858 p0 0.5412 ± 0.1546 p1 -0.1265 ± 0.2068 χ2 / ndf y slope (%/mm) x slope (%/mm) % 1 3 2.5 χ 2 / ndf 2.703 / 6 Prob 0.8451 p0 0.9808 ± 0.253 p1 -0.0348 ± 0.3837 2.709 / 6 Prob 0.8444 p0 0.9769 ± 0.2529 p1 -0.04156 ± 0.3839 2 1.5 1 0.5 0.5 0 0 -0.5 nbm before crude dt -0.5 20 50 100 150 200 χ 2 / ndf 0.4752 / 6 Prob 0.9981 p0 -14.22 ± 4.856 p1 0.02481 ± 6.441 -1.5 0 250 300 phi (degree) χ 2 / ndf 0.4607 / 6 Prob 0.9983 p0 -14.18 ± 4.858 p1 0.04005 ± 6.445 thetay slope (%/mr) thetax slope (%/mr) -1 0 nbm before crude dt -1 nbm after crude dt 10 0 -10 nbm after crude dt 50 100 150 200 χ2 / ndf 3.105 / 6 Prob 0.7956 p0 1.467 ± 3.327 p1 3.376 ± 4.91 25 20 250 300 phi (degree) χ2 / ndf 3.08 / 6 Prob 0.7987 p0 1.429 ± 3.335 p1 3.357 ± 4.912 15 10 5 0 -20 -5 -30 -40 50 100 energy slope (%/MeV) χ2 / ndf 6 150 nbm before crude dt nbm after crude dt -15 nbm after crude dt 1 -20 0 250 300 phi (degree) χ2 / ndf 3.25e-07 / 7 Prob p0 200 -10 0.0001599 ± 0.7756 p0 50 100 χ 2 / ndf 3.452e-07 / 7 Prob 1 0.01 charge slope (%/nC) -50 0 nbm before crude dt 0.0001638 ± 0.7765 0.005 2 0 0 200 250 300 phi (degree) χ 2 / ndf 65.15 / 7 Prob 1.403e-11 28.1 / 7 Prob 0.002004 ± 0.0001304 p0 4 150 p0 0.0002108 -0.001111± 0.0001308 -0.005 -2 -0.01 -4 nbm before crude dt -6 0 nbm before crude dt -0.015 nbm after crude dt 50 100 150 200 nbm after crude dt -0.02 0 250 300 phi (degree) # # 50 100 150 200 250 300 phi (degree) "!#$%&!' ( )*+&,+-.!#/ (708+.591(:;!<-%* 0=59>%@?<5A3=!@B #C*D3+.3&,+%E5FG4 I &1 J33+ KAL3M0=!'3&,+N%O4 % % 102 34536 :H $. . I &1 J33+ O OP0=!'3&,+%EQN(+74R3 +S4T4@+D IVU WMX+.ERFG42@ *PY 1Z[%$Y % 54*%;C!@:E\FG4 @ *1aY [74T3+@,,EFG4cbd:egf *,&C,3( U 3!#:E 4 %-]^-. I &1 WL_3+@6,E`FG4 A %.(#(:;ChSi%[@ *./.2%jh# 74P1A10k 34k%+6ElFG4c/3+=.+%T142j+&,3k3C.+ . % ## jC,+@4 (PR3,M!'5($%O E 0 97A !16 2 9 0 %86@$O$4 ( & 6<% 4&6 / ! A 6 O! 9 28/ 6<; 9 2 9 0 / <O$% # J# 0 /D0 4O 080 "6! 9 2 &%F 46 / ! A 6 O! 9 28/ 6<; 9 0 6<; ! &; 9 ?! ( & 6<% 9 0 A 9 !#!@& % 9 4 2E/ 67; 67& 2 H%8O$; 0 #; 467; 2 % 9 02H2 6 ; 9 2 O$% 9 !G? 97A A 6 28/ 6<;GF 2 0 !16 0 67& 9 ! !+6.& 2 0 9 28/ 9 ! 9 % 97A 2 &% 0 4 9 ; 9 & 2 % 2 4&%8O 9 28/ A 4&6<%8% 4 28/ 6<;+#36<; 0 /10 2 ; 2 /D2 ; 9 2 O$% 9 ! ? 97A A 6 2E/ 67;GF 2 4% O 9 28/ A 4&6<%8% 4 28/ 6<; .9 9 % 0I2 6 6 % )467%8% &4 2 # 44&6<%? / ; 2 6 2 4 9 %' !D6 2 F 2 4&6 A ? / ; ( &4 2 .6 & % 9 ; 6 A 46 / ;$4 / &;$4 0 9 ; 9 9 28/ A /10 9 ?K6<O 2 ) 9 2 # %86 A 2 /D0 6 / ; 2 6<;GF 9 ; % "& % ;$4 2 6 0 !16 / ! !$% & % 2 6 2 - 9 2E/ A =467%8% &4 2 ( 0 !16 7# ;svt t t "t t t Ut t svt vt vt wt swt wt t vt s tot t svt t t t t9t vt t It t svt t t "t t s #s t swt swt wt =t It t ut y =t ot t y % svt t t t t svt #s t vt t =t t y t % 1.5 χ 2 / ndf 9.376 / 6 Prob 0.1535 p0 -0.2989 ± 0.2107 p1 -0.7463 ± 0.3093 9.206 / 6 Prob 0.1623 p0 3.535e-05 ± 0.1127 p1 -0.2728 ± 0.1673 y slope (%/mm) x slope (%/mm) χ2 / ndf 1 0.5 χ 2 / ndf 3.859 / 6 Prob 0.6958 p0 -1.203 ± 0.38 p1 -0.1185 ± 0.5047 1.5 1 χ 2 / ndf 3.231 / 6 Prob 0.7794 p0 -0.9643 ± 0.241 p1 0.425 ± 0.3278 0.5 0 0 -0.5 -0.5 -1 -1 -1.5 cp before crude dt cp after crude dt -2 0 50 30 χ2 / ndf 7.776 / 6 Prob 0.255 p0 3.181 ± 4.844 p1 13.15 ± 6.82 20 100 150 200 cp before crude dt -2 cp after crude dt -2.5 0 250 300 phi (degree) χ2 / ndf 7.198 / 6 Prob 0.3029 p0 0.4172 ± 2.748 p1 -5.725 ± 4.082 thetay slope (%/mr) thetax slope (%/mr) -1.5 10 0 50 100 χ 2 / ndf Prob p0 p1 40 30 150 200 250 300 phi (degree) χ 2 / ndf 3.132 / 6 Prob 0.7921 p0 22.15 ± 9.088 p1 -0.003142 ± 11.61 1.633 / 6 0.9501 -8.294 ± 6.389 -3.556 ± 8.648 20 10 0 -10 -10 -20 -20 cp before crude dt -30 6 50 100 150 200 χ2 / ndf 10.07 / 7 Prob 0.1847 p0 1.256 ± 0.357 cp after crude dt -40 0 250 300 phi (degree) χ2 / ndf 8.815 / 7 Prob 0.2662 p0 1.167 ± 0.3373 50 100 χ 2 / ndf 5 150 200 0.8534 3.97 / 7 Prob 0.001597 ± 0.001569 p0 250 300 phi (degree) χ2 / ndf 3.325 / 7 Prob 0.01 charge slope (%/nC) energy slope (%/MeV) -40 0 cp before crude dt -30 cp after crude dt 0.7832 -0.001568 ± 0.0018 p0 0.005 4 3 2 -0 1 0 -0.005 -1 -2 cp before crude dt -3 cp after crude dt -40 50 100 150 200 cp after crude dt -0.015 0 250 300 phi (degree) J !# cp before crude dt -0.01 ## % 50 100 150 .!#_ (708+.591(:;!<-%* 0=59>%@?<5A3=!@B #C*D3+.3&,+%E5FG4 % OP0=!'3&,+%EQN(+74R3 +S44@+l IVU 1Z[%$Y % 54*%;C!@:E\FG4 @ *1aY [74T3+@,,E *,&C,3( U 3!#:E FG4Mb d:egf 250 300 phi (degree) 3+/*:!'j&,+ I &1 J33+ KAL3M0=!'3&,+N%O4 200 10R 34 % :H 36 $. . I &1 J33+ O PX+.ERFG42@ *PY 4 %-]^-. I &1 WL_3+@6,E`FG4 A %.(#(:;ChSV%[@ *./.2%jh# 74P1A10k 34k%+6ElFG4c/3+=.+%T142j+&,3k3C.+ % 5 C / <O$% # =0 $6 0 2 =% 9 9 ; 467%8% &4 2 ( (! 9 0 28/ 4 "! &4 2 % 6<; !16P4O 0 / (! %& 6<% 9 2 / 4 9 ! 6P4 2 9 ; 2 % 0 O 02 0 / ? 9BA8 9 % 9BA 2 % 0 F >F F F F 9 ; /& 6<% 9 2 / 4 9 !%8O$;G# 46<% % &4 2E/ 6<; 0 9 % ? 9 0 " 6<; 2 0 !D6 0 2 % A / ; (TO 08/ ; ; 9 2 O% 9 ! ? 97A A 6 28/ 6<; & 67% 2 9 2 %8O; 9 ; 9 % .9 ! / ( 2 6 2 (; 9 2 O$% 9 ! ? 97A A 6 28/ 6<; 6.& 2 9 2 %8O$;G# 4&46<%' / ; 2 6 2 !16 280 F 2 467%8% &4 2 ( 0 !D6 0 A 6 0 2 !< 9 282 ; 6<O 2 2 &; &;$4 6.& 2 2 &4 2 6<% 0 / "!# 67; 2 08/ ? 97A 9 % 97A 2 &% 0 # %8O$; 0 (! 4 2 ( &% 9 0 ;$6 2 6<; /D2 6<O 2 ! / % 0 !D6 0 9 0 /D0 4&O 080 ( 9 ?>6 7F 9 ; 67; 0 0 & %86 A / <O$% # 2 9 2 & 6<%C;$6<@; )6<O 2 ! / % %8O; 0 2 0 !D6 0 9 0 2 &% A / ; " & %86 A ! / ; 9 %H% "<% 080 / 6<; 76 & ; 9 2 O$% 9 ! ? 97A A 6 28/ 6<; 9 % % 9 0 67; 9 ? ! 9 ; 0 6<O !# 9 ! !16 9 A 9 ; / ; .& O !G4&6<%8% 4 28/ 6<; & 6<% (! / 4 / 2 $) 46<% % "! 9 2 ((? 97A A 6 28/ 6<;+# =t s % % t ;svt t =t t t t vt t t *t %t vt t vt ut ut svt t t tot =t y s ;svt t t t ] t wt s t vt vt :H t ut t t rt svt t t svt t svt svt t t =t t =t ut =t swt svt svt s vt t svt =t t % % t vt ot svt vt ;swt t t ut t t s s =t wt =t =t t swt =t t ut y Detector Yield (counts/nC) Detector Yield (counts/nC) x Raw 0.54 Full Correction 0.535 0.53 0.545 0.54 0.535 0.53 0.525 0.525 0.52 0.52 0.515 0.15 0.2 0.25 0.3 0.35 -0.9 0.4 0.45 X Position (mm) 0.538 Detector Yield (counts/nC) Detector Yield (counts/nC) -0.8 -0.7 -0.6 -0.5 -0.4 Y Position (mm) theta y theta x 0.536 0.534 0.532 0.53 0.528 0.54 0.535 0.53 0.525 0.526 0.52 0.524 0.522 0.515 0.108 0.11 0.112 0.114 0.116 0.118 0.12 0.122 0.124 Theta X (mrad) -0.215 Detector Yield (counts/nC) Detector Yield (counts/nC) -0.21 -0.205 -0.2 -0.195 -0.19 Theta Y (mrad) energy charge 0.535 0.53 0.525 0.55 0.54 0.53 0.52 0.51 0.5 0.52 0.49 0.48 0.515 1780 1800 1820 1840 1860 1880 #"$%&"' * + * =),6/.2 !!#& A $'. +. &;#%$-#. + c 1900 1920 1940 Charge (nC) #.x)4/++!)@8!x,:M%$-) "0 @/+E #U+. A #. 0.09 ( ,:!),+/. )!#++!),$-/. B#+ /+*477$-! 0.1 :=)@> !#@!r/. 0.11 #$-,: 0.12 0.13 0.14 Energy deviation as measured by x_C12 (MeV) , + ) 6(.#%+# 4!/& ! !4/&V72#+/&(,8@+! :472B,8@+&*$'.!\>$'. &;#%$-#.\ 5 /u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svt ut t ' t t " s ut tot W ;svt swt =t"t %t ut tot svt svt swt '& )( * "t t ) t vt svt vt \t %t t swt ' =t t t t t s t ' ' " ;svt "t % % t t ut tot H7H } } d 29; 2 72M$'%$-#. ' ) # 0 9 ; /10(2 9 /10 2 9 ;$4 0 0 / <O% # # ! "$# svt svt ) c $'. t % svt l/$- +#& t % /10 2 9 /10 2 9 ;$4 ? 2 &; 2 2 6 ? 2 ; 2 2 9 ?% 2 9 ; 2 A / 6 / ; 2 6.& 2 2 6 H7H t s ot &% =t ot svt =t ' svt svt t svt Ut t s t % t t %t =t ' %! "$# tot =t + svt % ) #.C#. /S 7++*,!),$-/.\/.28; 6/+ o@80 "t % C6 0 2 O 2 4 2E0 6.&5O 08/ ; / &% &; 2 O 02 % 97A 0 2 6 % 6 4 2 2 ? 97A 6 08/ 2E/ 67; 9 ; 9 ;.! 6<; 2 6 2 2 9 %? 2 F 2 0 !16 0 2 % A / ; (IO 08/ ; ; 9 2 O$% 9 !S? 97A A 6 28/ 6<; 0 9 ; 9 0 9 0 $67; / ; 2 & 67% 9 %? 9 ;! % % ) 4 9 !D4O! 9 2 "Q? 9 0 " 6<; /10 # A $6 ; 02 % 97A 67& 2 0 2 9 ; 9 %' / 6 2 4 ; 2 &% 6.& % / A ; 2 # 9 !#! # /102 9 ;$4 I? 2 &; 9 ; /D0 # 7 A # ; / 7O$% # F 2 9 % 9 0 !D6 0 2 &% A / ; " O 08/ ; 0 9 ; 9 % !16 282 " &% 0 O 02 9 &% 9 67& 9 4 6P4 2 9 ; 2 # 9 % 9 0 !D6 0 2 &% A / ; " O 08/ ; 0 9 ; 9 % 6 %?! 9 / 6<; 2 0 97A !16 280 # 0 !D6 0 9 % 2 &% A / ; " $? ; 9 2 O$% 9 !G? 97A A 6 28/ 6<;+# svt t U t 9t %t t =t t =t t t t swt vt t t "t t vt ;svt t ut t ;svt t L t t tot W ' 5 vt t t t t ' t vt " vt t vt %t svt t ' ut svt "t =t swt Ut vt wt vt =t % t svt t ' ;svt t svt =t t svt R ut svt % t " t =t t t t t Ut #s 1.8 1.6 χ 2 / ndf 1.01 / 6 Prob 0.9852 p0 0.5437 ± 0.1537 p1 -0.1223 ± 0.2032 χ2 / ndf 0.9796 p0 0.4075 ± 0.1139 p1 -0.09636 ± 0.1522 1.4 1.2 3 2.5 χ 2 / ndf 2.899 / 6 Prob 0.8214 p0 0.4209 ± 0.1742 p1 -0.05521 ± 0.2547 χ 2 / ndf 4.426 / 6 Prob 0.6192 p0 0.8721 ± 0.2529 p1 -0.222 ± 0.3839 1.142 / 6 Prob y slope (%/mm) x slope (%/mm) % 2 1.5 1 1 0.8 0.5 0.6 0 0.4 G0 & G0B 0 30 20 50 100 150 200 G0 & G0B -1.5 0 250 300 phi (degree) χ2 / ndf 3.788 / 6 Prob 0.7053 p0 3.296 ± 0.8607 p1 1.739 ± 1.179 χ 2 / ndf 0.4752 / 6 Prob 0.9981 p0 -14.22 ± 4.856 p1 0.02481 ± 6.441 H00 & G0B -1 10 0 thetay slope (%/mr) thetax slope (%/mr) -0.2 0 -0.5 H00 & G0B 0.2 50 100 150 200 χ2 / ndf 3.105 / 6 Prob 0.7956 p0 1.467 ± 3.327 p1 3.376 ± 4.91 50 40 250 300 phi (degree) χ2 / ndf 6.56 / 6 Prob 0.3635 p0 -22.65 ± 2.578 p1 -2.968 ± 3.77 30 20 10 0 -10 -10 -20 -20 -30 -40 50 100 energy slope (%/MeV) χ2 / ndf 6 150 H00 & G0B -40 G0 & G0B 1 -50 0 250 300 phi (degree) χ2 / ndf 3.975e-07 / 7 Prob p0 200 -30 G0 & G0B 1 0.0006598 ± 0.7409 p0 100 150 χ 2 / ndf 3.986e-06 / 7 Prob 9.844e-05 ± 0.7756 50 0.005 p0 200 250 300 phi (degree) χ 2 / ndf 65.15 / 7 Prob charge slope (%/nC) -50 0 H00 & G0B 1.403e-11 122.4 / 7 Prob 0.002004 ± 0.0001304 0 0.002054 ± 9.255e-05 p0 0.004 4 0.003 2 0.002 0 0.001 -2 0 H00 & G0B -4 H00 & G0B -0.001 G0 & G0B -6 0 50 100 150 200 -0.002 0 250 300 phi (degree) ## D-= % 91(:;!< !# JN% % %-74 50 150 200 ( U M74$ A %$] J FG4 % W. :H I C $ I C K33+ --5 0=!3C,+%EMQK(+74K3 +S 74i4@+ IVU BaX+ElFG4 @ *Y Y % 74 %;C!@:E FG4 P7423+@6,EFG4 b d egf 250 300 phi (degree) *+C,+R!#K3, 08+ 9>%@?<E % 100 %&!' M( % 33+ 5*A3 0=!3C,+ G0 & G0B ". I & 55*3+@6,E k41Z[i% FG4M@ *1VY %.(#(:;ChSi%P@ *1.%jh# *",C&,3 10l 34l%+,E-FG4Tl3+=.+%5-74lj+&,33&+W3! :E . % ; <6 ? / 6<O 0 6<? 0 &% B9 28/ 6<; /102 9 2 2 9 ;! 0 !D6 0 4 9 ; 0 / <; /D2 9 / % &; 2 4 $6 / 4 .6 & O 02 % 97A # / ;$4 2 % 9 % ;$6 A 9 <; 2E/ 4 (! A &; 2E0 ? 2 &; 0 9 ; F 2 "! &4 2 % 6<; ? 97ANA O 0 2 2 % 9 (! / ; 9 02 % 9 / 2 ! / ; 7# % "& 6<% 7F /D2 /D0 08/ 4 9 ! ! / A* 6 080 / ? ! 2 9 2 2 9 ; ! 0 4 9 !14&O ! 9 2 (Q?$ / &% ; 2@0 280 6.& 0 9 % % / &% &; 2 # /D0 I6<% /10 ? 9 4 9 %? 0 % (! 9 2E/ 2 6 2 6 2 %&# 6 / ; 28/ & 0 O 02E0 2 9 2 /D2 % /D0 ? 9 4 9 '% 0 F 2 6 0 /D2E/ 6<;76 & A O! 28/ ! 0 &% 0 O? 2 % 9 4 2 ( & %86 A 2 /4 * 6 08/ 2E/ 67; 76 & A 0 ? *A 0 # 0 / <O% # J# 4467%? / ; 2 6 2 /10 / <O% 7F 2 /D0/D0 2 % O & 6<% 79 !1O 0 6 ! 9 % /D2 .6 & 2 ! 9 0 2 !16 2 /10 6 6 08/ 2 2 6 2 H6 2 % 0 # /D0 ? 9 4 9 ?% 0 % "! 9 28/ 2 6 2 @6 2 % 0 # /D0 9 032 4 2 9 0 (! ! # &% & 6<% BF .6 & / / ; 2 9 ; 0 !16 0 6<; 2 6<% / 6<; 2 9 ! 9 /D03/ ; / <O$% # # % & 6<% BF 2 9 &% 9 9 ; 0 !D6 0 4 9 !D4O ! 9 2 " $? 0 9 ; 9 % 9 4 2 O 9 !#!<; ( 9 28/ 9 ; 6 08/ 2E/ 7F$% 0 &4 2E/ "! <# y ot 5 t svt ' ' ' t t t 9t =t s wt =t t ' t t ' t svt =t ! svtZs ;svt t t ' t ' 9t svt ;s =t vt t swt s ;s =t # =t swt vt ;s svt =t s t =t svt * Ut tot svt swt t t ut y % t s t t t t t Lt %t =t tot :H #s wt ! :H t t svt t svt ! ;svt =t t t t svt t svt t %t svt t "t svt ut s s #s ' svt;t %t t s t s % t vt s svtJt U t ;swt =t =t wt swt t t x_G0B-x_H00A:imps x_G0B-x_H00B:imps x_G0B-x_H00A x_G0B-x_H00 x_G0B-x_H00:imps 2.5 x_G0B-x_H00B #s t -0.6 1.3 2.4 -0.7 1.2 2.3 2.2 1.1 -0.8 1 -0.9 0.9 -1 0.8 -1.1 2.1 2 1.9 1.8 0 200 400 600 8001000120014001600180020002200 imps x_G0B-x_H00C:imps 0 200 400 600 8001000120014001600180020002200 imps 0 200 400 600 8001000120014001600180020002200 imps x_G0B-x_G0:imps x_G0B-x_G0 x_G0B-x_H00C 0.58 0.56 1 0.54 0.9 0.52 0.5 0.8 0.48 0.46 0.7 0.44 0.6 0.42 0.5 0 200 400 600 8001000120014001600180020002200 imps 0.38 0 200 400 600 8001000120014001600180020002200 imps 0.4 FG4 &,+N10$!';& % (:h5:E ## % J$!g(:& 31 T0=.+ 74 C,+N10 9 % 97A ; 2 &% 9 # !1O A ; A # / # )# ;% 9 ;$% 9 ) # : $A )# t t ;$4 &% 2 9 / ; 2 # vt # % % t % :H % ot # H % H ) AA AA A %% 9 A 9 ; 9# !1O # # ;$4 &% 2 9 / ; 2 # % wt t % # t ) ''' )) ) '' ) ) ' ' ) ) '' ) ) '') )' # # D6 ! ot # % # )% # % # , % ! #" %$'&!$( )&*+,+ -. /0/ $ 1 + 32 & ,465 4 .787 9+,$ 34 * :$ 2;/ $ #$ /.< =>+?.7 C3< +, 2;/ +? / * +E A 32 F$(+ + <G2HI/ +,7J$ 2;/ LKNMPO 4 + 4A@ &.B& < B /DC!< .+, Q R 2S/UT #KV;WL$ GX6 3 Y" +? Z4 -*= 3*.+[.(S\R*#&!6 2 4L/ +,8 7 $ 2S/D<]4 $ 2 2 . < +? .7 70*.9$'* 2 2S/ 4!/ * 2 KNMPO 4Q 2S/^T YKLV %% % %% ) % ) 9 % 97A`_ 2 _ % b# a !c-d)e A # f # g # gih ) # ) # C6 2 9 ! # + ;$4 _ % 2 9 / ; 2 A # # # # # # # % :H ] % % ) .7n=>+?.7 j k>Ll +.( 3 4! 4 .787 9+ m 2S/ 3. 43 4 .7J7 9+,$ ,4 * Z$ 2;/ $ #$ /.< 2 /qT YKLV + 4[/ +,7J$ 2;/o<]4 $ 2 2 . < ?+ . 7p70*.9$'* 2 2;/ KPMNO 4LQ U ; ) %% % / 4 /D2 )4&6<%8% _ ! 9 2 _ / _ % _ ;$4 _ 0 9 0 A A`_ 2 % / _ 0 6.& / ; / / $O 9 ! 9 % 97As_ 2 _ % 0 4 9 !<) 4O ! 9 2 _ > O 9 % 2 _ 2 ? > O 9 % 2 _ 2 9 ; 9S_ % 9 _ (6 S_ % 2 r __ ; 28/ % _ %8O$; 9 ; 0 !D6 P_ 0 _ 2 _ % A / ; _ O 0 / ; ; 9 2 O$% 9 ! ? _97A A 6 2E/ 67; 9 ;_ % 9 _ 6 ;_ % 9 ! ! 6 4 2 9 ; 280 9 ; 0 9 ; 9 % _ ! /D0 2 _ / ; 9 ? ! _ # # 0r _ 6 ;_ % 9 !#!tr _ ! / 4 / 2 )467%8% _ ! 9 2 _ *& 9 ! 0 _ 9 0 A A`_ 2 %' 9 ;ur _ ! / 4 /D2 ) 467%8% _ ! 9 2 _ B& 9 ! 0 _ 9 0 A sA _ 2 % / _ 0 .6 & / ; / / $O 9 !+? _97A 9 % 97A`_ 2 _ % 0 9 % _ ! /102 _ / ; 9 ?! _ # # 0r _ 6 S_ % 9 !#! & 9 ! 0 _ 9 0 A s A _ 2 '% /10 ba !c-d)e v ow v $A v # 0r _ r _ ! / 4 /D2 )4&6<%8% _ ! 9 2 _ / _ % _ ;$4 _ 0 9 0 A ` A _ 2 % / _ 0 .6 & / ; / / $O 9 ! 9 % 97As_ 2 _ % 0 4 9 !<) 4 O ! 9 2 _ > O 9 % 2 _ 2 ? > O 9 % 2 _ 2 9 ; 9 S_ % 9 _ (6 S_ % 2 r __ ; 28/ % _ %8O$; 9 ; 0 !D6 P_ 0 _ 2 _ % A / ; _ O 0 / ; T; 9 2 O$% 9 ! ? _9BA A 6 28/ 6<; 9 S_ % 9 _ 6 S_ % 9 ! ! T6P4 2 9 ; 2E0 9 ; 0 9 ; 0r _ r _ ! ' _ " % ' N " % 9 % 97As; _ 2 _ % 9 # !1O _ A ; A # f _ / # g ;% 9 # gih ;$% 9 # : $A )# # # # D6 ! P_ ) ''' )) h ) '' ) ) ' ' ) ) '' ) h ) '') )' % H % H # ) AA AA A %% 9 A 9 ; _ # % # % :H % ;$4 _ % 2 9 / ; 2 9# !1 O _ # # ) # # # % , ;$4 _ % 2 9 / ; 2 # % # % # % # # # ) > ! #" %$'&!$( )&*+,+ -. /0/ $ 1 + 32 & ,465 4 .787 9+,$ 34 * :$ 2;/ $ #$ /.< =>+?.7 !C < .+, 2S/ +? / * +E L !2 9$(+ + <G2H V L + 4A@ &.B& < B /DC!< .+, W $ G ! #" +? 4 B*= D/ +,78$ 2S/J<]4 $ 2 2 < +? .7 70*.9$'* 2 2;/ 4!/ * 2 KNMPO 48T 0 2S/UT #K 3*+Z( *#& 2 4 V ) 9 % 97A`_ 2 _ % b# a !c-d)e A # f # g ) # gih # ) # C6 2 9 ! # % % ] % % ) % ;$4 _ % 2 9 / ; 2 A ) # # # # # # % # % :H jGol +?( %$'&3$( ) &*.+,+ B / 3. 4! 4 .787 9+ 2S/ 3. 4! 4 .787 F+,$ 3 4 * J$ 2;/ $ #$ /.< 7 =>+?.7 + 4R/ +,J 7 $ 2;/b<]4 $ 2 2 . < ?+ .7 70*.9$'* 2 2;/ 4!/ * 2 N K MPO 4UT 2;/ T #KV % ) % 9 % _ ! /D0 2 _ / ; 9 ?! _ # # 0r _ 6 ;_ % 9 !#!tr _ ! / 4 / 2 )467%8% _ ! 9 2 _ *& 9 ! 0 _ 9 0 A A`_ 2 %' 9 ;ur _ ! / 4 /D2 ) 467%8% _ ! 9 2 _ B& 9 ! 0 _ 9 0 A As_ 2 % / _ 0 6.& / ; / / $O 9 !+? _97A 9 % 97A`_ 2 _ % 0 9 % _ ! /102 _ / ; 9 ?! _ # # 0r _ 6 S_ % 9 !#! & 9 ! 0 _ 9 0 A As_ 2 %' /10 ba !c-d)e v mw v $A v # 0r _ 6 S_ % 9 ! ! & 9 ! 0 _ 9 0 A s 0 9 ; A _ 2 % 9 ; 9 080 6 4 / 9 2 _ _ %8%867% 4 9 !D4O ! 9 2 _ ? /10 46 *A 9 % 9 ? ! _ 2 6 2 r _ 6 ;_ % 9 !#! & 9 ! 0 _ 9 0 A `A _ 2 % 9 ; 9 0 0 6P4 / 9 2 _ _ %8% 6<% 4 9 !14&O! 9 2 _ ?$ 0 9 ; # / S_ ; 2 r _ 46<; 08/102 _ ;$"4 7F & % 6 A r _ % _ 6<; _ O 0 2 O 0 _ 0 9 ; # ' W N G " ' % 5O$% / ; 2 r /D0 % O$;$; / ; P_ % / 6@GF46 / ! A 6 $O ! 9 28/ 6<; 9 0 _ ; 9 ?! _ 1& 6<% 67;! 6.& 2 r _ % 6 $O4 2E/ 6<; %8O; 0 # 0r _ 0 _ %8O$; 0 _ % _ 2 r _ ! 9 0 252 _ ; %8O$; 0 6.& 2 r _ %8O;$; / ; t_ % / 6@ ) J# C6 A 9 j_=9 / % _ 4 2 46 A* 9 % /10 67;6.& 2 r _ 2 6 %8O$;; / ; A 6@ _ 0 F 2 r _ 0 !16 P_ 0 6.& 2 r _ 0 / ? _97 A $9 % 97`A _ 2 _ % 0 _ 2 _ % A / ; _ QO 08/ ; 4&6 / ! A 6 O! 9 28/ 6<; 9 ;T;$6<% A 9 !G? _9BA A 6 2E/ 67; _ % _ !D6 282 _ ;_ % 0 O 0 % O$; ;SO A ? _ % 9 ; 6 S_ %?! 9 / 6<; 2 r _ 0 97As_ !16 2E0 & 6<% 9 !#!6 4 2 9 ; 280 # 0r _ 0 !D6 t_ 0 9 % _ 0 r$6 ; / ; / <O$% _ # # 4&46<%' / ; 2 6 2 r _ <O% _ F 9 !#!S6.& 2 r _ 0 !D6 t_ 0 _ 2 _ % A / ; _ ?4&6 / ! O ! 0 / ; 9 % _ 0 _ ! & ) 46<; 08/102 _ ; 2 A 5 /D0 % _9 0 67; 9 ?! _ J# / A / ! 9 % % _ 0 O! 280 r$6! %& 6<% 2 r _ 6 2 r _ %H? _97 A $9 % 97`A _ 2 _ % 0 # 0r _ % _ & 67% _ F 2 r _ 4&6 / ! O ! 0 / ; 0 !16 t_ 0 9 % _ 0 2 9 ?! _ %8O; ) 2 67)% O$;G#; 467; 2 % 9 02 F 2 r _ 0 !D6 t_ 0 _ 2 _ % A / ; _ T$? T; 9 2 O$% 9 ! ? _97A A 6 2E/ 6<; 9 % _ ;$6 2 0 2 9 ?! _ % O$; ) 2 67)% O$;G# 6 ! _ % O$; t_ % / @6 G# _ 4 9 !#! / <O$% _ # r _ % _ 2 r /10H/10=0 _i_ ; A 67% _ $% 97A 9 2E/ 4 9 !#!< 6 S_ % 2 r _ r % % "! % b ! % dY/dx/Y (%/mm) 5 χ 2 / ndf Prob p0 χ2 / ndf Prob p0 4.116 / 9 0.9036 -0.1975 ± 0.3756 25.79 / 9 0.002212 -0.06783 ± 0.1796 4 3 cp 2 nbm Octant 2 5 dY/dx/Y (%/mm) Octant 1 χ2 / ndf Prob p0 8.524 / 9 0.4824 -0.2447 ± 0.3667 χ2 / ndf Prob p0 40.06 / 9 7.425e-06 -0.04341 ± 0.1748 4 3 2 1 1 0 0 -1 -1 -2 -2 -3 -3 -4 -4 -5 29014 29016 29018 29020 29022 -5 29014 29024 29016 29018 29020 29022 29024 run dY/dx/Y (%/mm) 5 χ 2 / ndf 7.202 / 9 Prob 0.6161 p0 0.2821 ± 0.3831 χ 2 / ndf Prob p0 run 6.556 / 9 0.6832 0.3309 ± 0.183 4 3 2 Octant 4 5 dY/dx/Y (%/mm) Octant 3 1 -1 -1 -2 -2 -3 -3 -4 -4 29020 29022 -5 29014 29024 8.171 / 9 0.5171 -0.02357 ± 0.1786 2 0 29018 χ2 / ndf Prob p0 3 0 29016 χ 2 / ndf 10.44 / 9 Prob 0.3158 p0 -0.8584 ± 0.373 4 1 -5 29014 29016 29018 29020 29022 29024 run dY/dx/Y (%/mm) 5 χ / ndf 14.59 / 9 Prob 0.1029 p0 0.6379 ± 0.3956 run χ2 2 / ndf 16.28 / 9 Prob 0.06132 p0 0.7396 ± 0.1886 4 3 2 Octant 6 5 dY/dx/Y (%/mm) Octant 5 χ2 / ndf Prob p0 8.874 / 9 0.449 0.05091 ± 0.3756 χ2 / ndf Prob p0 419.9 / 9 0 1.776 ± 0.1796 4 3 2 1 1 0 0 -1 -1 -2 -2 -3 -3 -4 -4 -5 29014 29016 29018 29020 29022 -5 29014 29024 29016 29018 29020 29022 29024 run dY/dx/Y (%/mm) 5 χ 2 / ndf 9.781 / 9 Prob 0.3685 p0 0.6308 ± 0.4105 run χ 2 / ndf 7.139 / 9 Prob 0.6227 p0 0.7012 ± 0.1953 4 3 2 Octant 8 5 dY/dx/Y (%/mm) Octant 7 χ 2 / ndf 3.36 / 9 Prob 0.9483 p0 0.2072 ± 0.3681 χ2 / ndf 15.87 / 9 Prob 0.06958 p0 -0.004796 ± 0.1755 4 3 2 1 1 0 0 -1 -1 -2 -2 -3 -3 -4 -4 -5 29014 29016 29018 29020 29022 -5 29014 29024 29016 29018 29020 29022 run FG4 J.! W=!' 91(:;!<ETFG4 ,C&,3D( U 29024 run ## % !5(B08+W+=52( *+C,+ 9>%@?<N%\3+c%! l. I & AAJ3+@,k%K74 I i@ *..%jh KR M74$ 10l 34l%+,E-FG4[@ *1 Y 74$* %E % 0 2 O 2 6 _ 97A / ; _ 2 r _ / ; 0 2 9 ? / ! /D2 T6.& 2 r _ 0 !16 t_ 0 _ 2 _ % A / ; _ ? ; 9 2 O$% 9 ! ? _97A A 6 2E/ 6<; % _ S_9 ! _ 2 r 9 2 2 r _ ? _97A 2 % / 4O 2 /10 0 6 As_ 2E/ As_ 05/ ; _ _ 4 2 O 9 ! 9 ; 467; 0 _ > O _ ; 2 !< t_ % A /D280 ;$6<; ) r 08/ 4 9 ! / _ !# 0 # / <O% _ # /10 9 !16 2 6.& 2 r _ _ ! 9 0 28/ 4 _ ! _ 4 2 % 6<; / _ !# / ; 6P4 2 9 ; 2 S_ % 0 O 0 *A 0 & 6<% 9 / S_ ; %8O$;G# 2 0 r$6 0 O; r 08/ 4 9 ! / _ !# 0 9 2 9 ?>6<O 2 F 9 ; F *A 0 r _ % _ 2 r _ ? _97A 2 % / 0 # 0r _ _" / 9 28/ 6<; 6.& 2 r _ A`_9 0 O$% _ / _ ! & %86 A 2 r _I`A _9 ;Q.6 & 2 r _ 9 % _ ; 2 /D0 2 % / ?$O 2E/ 67; 9 2 2 r _ !16P4 9 28/ 6<; .6 & 9 ? _97A 2 % / 4&O 25/D0 O;PO 0 O 9 ! ! ! 9 ?% _ # 0 9 % _ 0 O ! 2 F 2 r _ 4 9 !D4O ! 9 2 _ 0 !16 P_ /D0 ! 9 '% _(9 ; O$; r 0 / 4 9 ! # 0r _ 4&6 / ! O! 08/ ; % _ 0 O ! 2E0 _ % _ ;$6 2 9 _ 4 2 _ $? 2 r _ ? _97A 2 % / 4O 2 9 0 2 r _ % _ _ % _ ;$6(? _97A 2 % / 0 $O% / ; 46 / ! A @6 $O ! 9 2E/ 67;G# / ;$4 _ 2 r _ 4&6 / ! 0 9 % _/ O ! 0 _ & 6<% 67; ! 2 r _ % 0 2=2 r$% __@A / ;SO 2 _ 0 .6 & 9 %8O$;GF 2 r _ %86<? 9 ? / ! /D2 .6 & 9 ? _97A 2 % / $O$% / ; 2 r /10=2E/ sA _ /D0=0 A 9 !#! # % % Y_1_ela_elec:imps Y_1_ela_elec 0.62 0.6 0.58 0.56 0.54 0.52 0.5 0.48 0.46 0.44 0.42 0 10000 20000 30000 40000 50000 60000 70000 80000 90000 imps ## ,jB08+*L&h=%,3 P3,.!#54 % J4+*C* 7ZT3&!@M( C= 3!6E C6 4&6 A* 9 % _ 2 r _ _ 6 As_ 2 % / 4 9 ! 0 _ ; 08/ 2E/ / 2 6.& / ; / / $O 9 !K6 4 2 9 ; 2E0 2 6 2 r _ ? _97A 6 08/ ) 2E/ 6<; 0 9 ; 9 ; ! _ 0 ? _ 2 _i_ ; ; 9 2 O$% 9 ! ? _97A A 6 2E/ 6<; 9 ;T46 / ! O! 08/ ;$F 2 r _ 9 ;_ % 9 _ 0 !16 P_ 0 6.& 2 r _ 0 9 28/ 9 ! ? _9BA 9 % 9BAs_ 2 _ % 0 6.& 2 r _ ! 9 0 22 _ ; % O$; 0 _ % _ !D6 282 _ 9 9 / ; 0 22 r _ 9;_ % 9 _ .6 & _9 .4 r 6P4 2 9 ; 2 0 _i_ / 7O$% _ # J# 0 0 _i_ ; / ; 2 r _ / <O$% _ # F 2 r _ 6 0 _ 2E0 6.& 2 r _ 9 ; g 2E0 4&6<%8% _ 0 6<; / ; 2 6 46 / ! A 6@$O! 9 2E/ 6<; 9 % _ 46<; 0 /102 _ ; 2 / 2 r _ % 6 r / ! _ 2 r _ % :H % # % 6 0 _ 2E0 67& 2 r _ 9 ; g 2E0 46<% % _ 0 6<; / ; 2 6Q; 9 2 O$% 9 !? _97A A 6 2E/ 67; 9 % _ ;$6 2 # 0r _ % _ /10 ;6 0 / <; / 4 9 ; 2 / A* %86 S_&As_ ; 2 / ; 2 r _ 9 ; gih 0 !D6 P_ 0 # 0r /10 /10 4&6<; 08/D0 2 _ ; 2 /D2 r 2 r _ & 9 4 2=2 r 9 2H2 r _ % 9 ; _ & 6<%=46 / ! A 6 O! 9 28/ 6<; /10=2 6 28/ A`_ 0 ! 9 %? _ % 2 r 9 ;1& 6<%=; 9 2 O$% 9 ! ? _97A A 6 2E/ 6<; 9 ; 2 r _ % 9 ; _ & 6<% 4&6 / ! A 6 O! 9 28/ 6<; /D0 2 r$% __ 2E/ As_ 0H0 A 9 !#! _ % 2 r 9 ; & 6<% ; 9 2 O$% 9 ! ? _97A A 6 28/ 6<; 0 __ 9 ? ! _ # J# :H 2 χ 2 / ndf 11.16 / 6 Prob 0.08349 p0 0.2981 ± 0.1035 p1 -0.145 ± 0.1331 χ2 / ndf 9.11 / 6 χ2 / ndf Prob 0.1675 Prob p0 0.003262 ± 0.1127 p1 -0.2779 ± 0.1673 1.5 y slope (%/mm) x slope (%/mm) % 3 1 0 -1 0.5 -2 0 nbm cp -0.5 -4 50 100 χ 2 / ndf Prob p0 p1 150 200 250 300 phi (degree) 0 χ2 / ndf 7.539 / 6 Prob 0.2738 p0 3.064 ± 4.844 p1 13.31 ± 6.82 3.235 / 6 0.7788 -10.84 ± 2.966 -1.355 ± 4.015 20 -20 -20 nbm cp 100 energy slope (%/MeV) χ 2 / ndf 6 150 1 -0.0001474 ± 0.8248 200 250 300 phi (degree) χ2 / ndf 1.633 / 6 Prob 0.9501 p0 -8.294 ± 6.389 p1 -3.556 ± 8.648 nbm cp -40 -60 0 250 300 phi (degree) χ2 / ndf 10.07 / 7 Prob 0.1847 p0 1.256 ± 0.357 6.114e-07 / 7 Prob p0 200 150 χ2 / ndf 1.625 / 6 Prob 0.9508 p0 4.237 ± 3.538 p1 -2.835 ± 5.19 4 50 100 150 χ 2 / ndf 0.015 p0 200 250 300 phi (degree) χ2 / ndf 19.61 / 7 Prob charge slope (%/nC) 50 100 20 0 -40 50 40 0 -60 0 nbm cp -3 thetay slope (%/mr) thetax slope (%/mr) 40 0.4363 ± 0.08739 2 1 0 -0.9891 ± 0.06217 p1 % χ 2 / ndf 7.507 / 6 Prob 0.2765 p0 -1.224 ± 0.2899 p1 0.01711± 0.4072 77.75 / 6 1.041e-14 p0 0.006477 Prob 0.002382 ± 0.0001532 p0 3.325 / 7 0.8534 0.001597 ± 0.001569 0.01 2 0.005 0 -2 0 -4 nbm cp -6 -8 0 50 100 150 200 -0.01 0 250 300 phi (degree) ## B ( O Q 10D74Dj+1 % %k] gih 50 100 150 200 250 300 phi (degree) FG4 105 34 % 36a08+(+4 %&!' g:H T. I &1 533+ $ I &1 O33+ **- 0=!'3&,+%E (+4A3 +Si74c4@+/ IVU X+.E %;&!g:ElFG4 f % =!'@l.! *+C,+R91(:;!<%*3+#%!' O9>%@?<E 3 0=!'3&,+R%*74 nbm cp -0.005 FG4c@ * Y [ I C $$D3+@,7S#Y %B@ *1.%jh# OR*6&&,3 3+=.+%-154j+&,3l3C.+L3!#:E ( U 4 1Z[ %PY % 4 EFG4 bd egf A %.(#(:;ChS [4l\10 34 %+6EWFG4$ % 2I/10 9 ! 0 6 / ; 2 _ % _ 02E/ ; 2 6 2 2 r _ 0 !D6 P_ 0 67& 2 r _ 0 9 2E/ 9 ! 9 % 97As_ 2 _ % 0@2 6 08/ ; _ 4&O$% ;_ 0 /D2 r 2 r _ r 9 0 _ ? _ / ; 9 & % __ 9 % 97As_ 2 _ %# ; / <O$% _ # F 2 r _(9S_ % 9 _ 0 !16 P_ 0 6.& 2 r _ 0 $9 2E/ 9 ! ? _97A $9 % 97`A _ 2 _ % 0 !D6 282 _ 9 9 / ; 0 2 2 r _ 9;_ % 9 _ R6.& _9 4.r 6 4 2 9 ; 2 #5; _ 6<O! ; g 2E0 2 6 r 9 ;_T9 r 9 0 _ 6.& 9 ; 2 r _ 9 ; gih 280 2 6nr 9S_Q9 _ t_ 4 2 2 r _ 9 2E0 46<% % _ 0 6<; / ; r 9 0 _ 67& i_ %86$# 44&6<?% / ; 2 6 2 r _ !16 2 F 2 r _ r 9 0 _ 0 6.& 2 r _ 9 ; g 2 6 46 / ! A 6 O ! 9 28/ 6<; 9 % _ 467; 08/D0 2 _ ; 2 / 2 r r / ! _ 2 r _ r 9 0 _ 0 6.& 2 r _ 9 ; g 280 467%8% _ 0 6<; / ; 2 6(; 9 2 O$% 9 ! ? _97A A 6 28/ 6<; 9 % _ ;6 2 # / A / ! 9 ?% !<<F 2 r _ 6 0 _ 2E0 67& 2 r _ 9 ; g 280 4&6<%8% _ 0 6<; / ; 2 6 4&6 / ! A 6 O ! 9 28/ 6<; 9 % _ 46<; 0 /102 _ ; 2 / 2 r i_ % 6 r / ! _ 2 r _ 6 0 _ 280 .6 & 2 r _ 9 ; g 280 4&6<%8% _ 0 6< ; / ; 2 6 ; 9 2 O$% 9 !G? _97A A 6 2E/ 6<; 9 % _ ;6 2 # 9 0 _ Q6<; 2 r _ 0 _ 6<? 0 _ % 79 2E/ 67; 0 F 6<; _ 4 9 ; 4&6<;$"4 !1O _ 2 r 9 2 2 r _ 0 !D6 t_ 0 _ 2 _ % A / ; _ ? 46 / ! A @6 $O ! 9 2E/ 6<; 9 % _ _ !#! )? _ r 9 ;_ G# % :H b :H # b :H :H # :H ' % x slope (%/mm) 2 χ 2 / ndf 7.277 / 5 Prob 0.1103 0.271 ± 0.1035 p0 0.02036 ± 0.1215 p1 -0.265 ± 0.1627 p1 -0.291 ± 0.1715 p2 0.6471 ± 0.4741 p2 1.356 ± 0.5545 p0 χ 2 / ndf 8.968 / 5 Prob 0.2008 1.5 3 nbm cp thetax slope (%/mr) 0.9947 ± 3.338 nbm cp -3 150 p0 200 250 300 phi (degree) χ 2 / ndf 1.904 / 5 -10.05 ± 3.045 p1 5.251 ± 4.437 p1 -13.4 ± 6.785 -0.1187 ± 0.7911 p2 -1.405 ± 0.5311 20 p0 40 0 -20 -20 50 100 150 200 10 χ 2 / ndf 0.9241 ## % 1.621 / 5 Prob 4.36 ± 3.548 p0 0.8987 -8.609 ± 7.003 p1 -4.059 ± 5.624 p1 -3.703 ± 8.722 p2 0.6121 ± 1.124 p2 0.3096 ± 2.747 nbm cp -600 250 300 phi (degree) 250 300 phi (degree) -40 l.!# 200 20 0 nbm cp 150 1.402 / 5 Prob 3.424 ± 4.979 p2 100 χ 2 / ndf 0.1898 p0 -40 50 7.441 / 5 Prob 0.8623 0 thetay slope (%/mr) 100 Prob -0.178 ± 0.5498 p2 -4 50 χ 2 / ndf % p1 2.665 ± 0.3605 p2 -2 -0.5 -0.3838 ± 0.1413 p1 -1 0 -600 -1.24 ± 0.4101 0 0.5 40 0.5783 p0 -0.696 ± 0.1127 1 1 0 3.802 / 5 Prob 0.1459 p0 2 χ 2 / ndf 8.193 / 5 Prob y slope (%/mm) χ 2 / ndf 50 100 150 200 250 300 phi (degree) 34_36G08+l(+74W%C! 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(3 r ) 3 _ !#" _ ; r #r _ 3 _ #_ #_ _ A" _ _ 3)$ &% $ #! $$(% $ 7 _ .&) . 1 3 ! _ _ _ &) @ _ _ ; r ) @&) @ _ ) _ _ #r / _ < _ + _ .r? 3 0r _ (.. )@# #r 53 Y_ _i_ _ # _ ( 7" _ 3 (3A _ 3 _ 2 7# mr.r < : #r _ _ _ #_ _ )6 #r _ " )9 < - r _ _ #! # $ * ) 10 ,+ - " . 5 322 $ 2 / 3 #r ,+ _ _ _ / 10 # 7 ! " . . $3 5 . r r _ .r _ _ _ _ / ($ _ _ _ 3 _ r _ Total Charge (C) Coulomb Count 14 Total 12 IN OUT 10 8 6 4 7%/ Date !"#$%$&%(' 0-21 - 9 1- 2 2- - , - - ((- #:.r? .3 - &) @3- ) ! 3.- 3 B",- 76,- - 8-:"( 2- 0 :92-<; 0424 0423 $ $ _ ; r *),+ 7 "!.- -6 0422 0421 0414 0416 0413 0 0415 2 " >= $ 10 (4+5+$ 5" - $ 1.. (- + r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c; =< 6A- ; J=>=> < > : >= #"+ < =; ; OT+A < @ < +2> < 6,- ; OP+2A < @ < +2> OP+ Q - ; <> : O-,I9 < - ! - # S,"!-KO ,G@:-`AM@j,k@:- 2 =< 6A- ; @92-KAC-E0-L,AMJ ; -?E3-?>H@NA + J-X, < E0- 9=,A],>^,G>F, A #"+ ; @:9F,> G)E +# _ < >aYT+@9b@92-TP[,> < @:9[,hIK+2>A < Ai@:-?>H@H9F, : B A9=+ DAS@92-92- c< I < @ ) IK+ ;M; - ,G@:- < A ; -K,AN+>F,Y -A J 2 -VY1-KIK,J=AC-Z@:92-ZOP+2A < @ < +2> -KAMAX@:9F,> OF, ; ,E0-?@:- ; A AM@B,Y " B -09=,AV,G>^,>=, <1: J ; - - 3 G*( ; -K>=I8-KA < >@:92- < >EC-KI@B+ ; ANE, " < >F,G>H@-6A-?I?@ +2E @ < E3-?A+2>[@:92-\O29+@B+4IL,G@9=+ AB,GEO 2 M5 67 M98M$ C%M $ ( AO ; -K>I(-KAU+>V@:92-@; +#U@9 < A EW, : > < @NJ @:9-; +-, 0 3 G*( &' :2; , = < -?>-@BAC, ; -D@:92- =< 6A- 023.40 B $ 2 +2O[,YP+2J@ / +# 0 =< 6,- OP+2A < @ < +2> ; -?>=I(-?A ,> @:9- ; -K>=I8-KA`+2> -KI?@ < +2>A ) +#d@:92-$A < ; -?>=I(-?A+,A*)4EE0-?@ ; O,- ;N< + !- eA J :f; - 3 ; AMJ=A] ) +#*@92- A < ; -?>=I(-?A+,A*)4EE0-?@ ; h @92- # Y1-L,E - ; A!@B+g, l 6+ # ,G@B, -L,I9 L@ Y1-L,EmOF, ; ,E0-?@- ; AC, ; - + + $ 0 Y < >- ,GA4EE0-?@ ; ]+X@:92-4- ,Ai@ < I3-D-KI@ ; +2>c+4IKJ=A < A`Oc+@M@:- .- ; AMJ=A AcJ : >HJ=EVY,- ; " + ; -L,I9b+ @:9-<- <c: 9-@X+4I?@B,>-@BA < > <c: J ; - "! @92-$# l + -L,I9 L=@ < A ; -K,AN+>F,Y7- @92- ; -"+ ; -QF@92- ; , ,A%4EE0-?@ ;N< -?AD, ; - Ai@j,Y7-A&1J :' @N+ ' AcJ : +R,GANA-?ANA OP+2ANA < Y7 -Z+I@j,>-@(-KO1-K>2-?>=I(-h+2>9@92- ; , ,A4EhE3-@ ; Q)@:9-\,)- ; , : - ; , ,A%EhE0-?@ ; [ + C @:92-S-c ,AM@ < IS-7 -KI@ ; +>*1 +I?J=A < A O1 +@N@-+. - ; ANJ=A`+I@j,>-@]>HJ=EZY1- ;]< > <1: J ; -, , @92-.# l + YP+@9&L=@NA/ ,>\ 0 < A ; -L,GAN+2>F,GYD - @92- ; -" + ; -Q2@92- ; ,) ,GA4 EE0-?@ ; - 9 < Y < @NAV>=+[+4I?@B,>-@12 -?O,-?>F ,>=I8- +5I92-KI.2" + ; -7 -KI@ ; +> < Ia,GA4 EE0-?@ ;N< -KAKQ @:92-a, - ; , : EE0-?@ ; (" + ; -L,I93S ,. -?O ,k@:-SAi@j,G@- + M -K,I9Z+4I?@B,>-@ < A , 2 -V @N+ : -@:92- ; ,>V Oc +@M@:- ; , ,A%4 - ; , : -]+4 - ; , 5, - <1: 9-@D+I@j,>-@BA <> <1: J ; - -, Y @92-$ < >2- ; -?O ; -?A-?>H@NA @92-],) @92-a, - ; , : - ; , 6879;:%<>=?%@BAC6879D:E<F=&GIHKJML O @9 < A >HJ=EZY1- ; < A IK+>=A < AM@:-?>-@ < @9 0 +@:92- ; J=>IK+ ;M; -KI@:- 68709D:%<F=VL [# A9+4D A @92- l + $@92- L=@ <A ) < 2-?A ; -SN -, I ; -L,GAN+2>F,GY D- <1: J !XW 0 =, "W0 O=O=E O=O=E 8N 10 < 2 -?>=I(-P"+ ; , cAC-I-D-KI@ ; +2> < I < A @92-3 ,.-KO ,G@- ' ,- ; , : - ; , >=+ - 8N Z Y MS,- ' O ,G@-9,.- ; , : - ; , ,GA4EE0-?@ ; -?>=I(-GQS@:92- ) , ; b +4I?@j,G>H@02-?O,-?>2-?>=I(- >=+\@:-?> 2-K>I a@B+ 2 8- ; +$,> ]@:9HJ=A O ; + + ,cA-V,A4EhE3-@ ;M< -KA RQ ,A%EhE0-?@ ; T +J@ ' < >U + ; 020 Charge asymmetry (ppm) X difference ([n]m) Charge asymmetry (ppm) X difference ([n]m) 0 Out: 0.837 ± 0.411 χ2ν = 0.872 8 6 4 2 Out: -48.256 ± 8.189 χ2ν = 5.834 20 0 -20 -40 0 -60 -2 -80 -4 -100 -6 -8 -120 In: -0.345 ± 0.477 χ2ν = 2.792 -10 28820 28840 28860 28880 28900 28920 28940 28960 28980 In: -15.384 ± 8.746 χ2ν = 0.429 -140 29000 29020 28820 28840 28860 28880 28900 28920 28940 28960 28980 29000 29020 run run Angle in X difference ([n]rad) Out: -16.714 ± 6.155 χ2ν = 1.215 100 Angle in X difference ([n]rad) Y difference ([n]m) Y difference ([n]m) 50 0 -50 Out: 0.901 ± 0.265 χ2ν = 1.278 2 0 -2 -4 -100 -6 -150 28820 28840 In: 16.223 ± 8.144 χ2ν = 2.550 28860 28880 28900 28920 28940 28960 28980 29000 29020 28820 28840 In: -0.543 ± 0.275 χ2ν = 0.882 28860 28880 28900 28920 28940 28960 28980 29000 29020 run Energy difference (keV) Out: 0.715 ± 0.559 χ2ν = 1.927 5 Out: -0.000 ± 0.000 χ2ν = 4.721 Energy difference (keV) Angle in Y difference ([n]rad) Angle in Y difference ([n]rad) run 0 -5 -10 0.02 0.01 0 -15 -20 -0.01 -25 In: -3.218 ± 0.628 χ2ν = 2.852 -30 28820 28840 28860 28880 28900 28920 28940 28960 28980 29020 28820 run In: 0.003 ± 0.002 χ2ν = 0.674 -0.02 29000 Q 28840 28860 28880 28900 28920 28940 28960 28980 29000 29020 run N Y :& H:A$A$ " &I M $V8C :$Q#$%$Q$ Mh(' M&: A`D$ M#C 0& M&M : H:AA$ " M M $ 13 MV( M< A D$ M# T MTM : H:AA $ M M $T ' M #C 0 H:AA $ " # 1 M> M M $! D$C81 Mh 3 MT j8J& V81D' l H " ! #%Q $ M0#C S H:AA $ " 4 1 # l M&> MK M' $ D$S81 MW g( MV" N Z81D' MQM 0 . Octant 2 Elastic Electron Asymmetry Out: -30.798 ± 18.627 χ2 = 0.931 300 Asymmetry (ppm) Asymmetry (ppm) Octant 1 Elastic Electron Asymmetry ν 250 200 150 Out: -62.475 ± 18.058 χ2 = 0.320 300 ν 200 100 100 50 0 0 -100 -50 In: 55.866 ± 19.925 χ2 = 0.468 -100 28820 28840 28860 28880 28900 28920 ν 28940 28980 29000 29020 Run Number 28820 Out: -46.330 ± 18.874 χ2 = 1.183 ν 100 28860 28880 28900 28920 ν 28940 28960 28980 29000 29020 Run Number 50 28980 29000 29020 Run Number 28980 29000 29020 Run Number 28980 29000 29020 Run Number Out: -41.908 ± 18.093 χ2 = 0.121 150 ν 100 50 0 0 -50 -50 -100 -100 -150 -150 In: 39.681 ± 20.197 χ2 = 0.564 -200 In: 61.484 ± 19.460 χ2 = 1.396 ν 28820 28840 28860 28880 28900 28920 28940 ν 28960 28980 29000 29020 Run Number 28820 Octant 5 Elastic Electron Asymmetry 28840 28860 28880 28900 28920 28940 28960 Octant 6 Elastic Electron Asymmetry Out: -50.781 ± 19.050 χ2 = 3.467 Asymmetry (ppm) Asymmetry (ppm) 28840 Octant 4 Elastic Electron Asymmetry Asymmetry (ppm) Asymmetry (ppm) Octant 3 Elastic Electron Asymmetry 150 In: 22.596 ± 19.352 χ2 = 1.421 -200 28960 ν 200 100 Out: -38.737 ± 17.803 χ2 = 0.549 200 ν 150 100 50 0 0 -50 -100 -100 -150 In: 18.083 ± 20.423 χ2 = 3.188 -200 28820 28840 28860 28880 28900 28920 ν 28940 28960 28980 29000 -200 29020 Run Number 300 ν 250 28840 28860 28880 28900 28920 ν 28940 28960 Octant 8 Elastic Electron Asymmetry Out: -15.277 ± 20.226 χ2 = 1.137 Out: -55.104 ± 18.432 χ2 = 2.190 Asymmetry (ppm) Asymmetry (ppm) Octant 7 Elastic Electron Asymmetry In: 10.963 ± 19.177 χ2 = 2.068 28820 200 150 ν 200 100 100 0 50 -100 0 -200 -50 -150 -300 In: 5.577 ± 21.636 χ2 = 0.678 -100 In: 40.100 ± 19.795 χ2 = 1.511 ν 28820 28840 28860 28880 28900 28920 28940 ν 28960 28980 29020 Run Number Q 28820 N " ! 28840 28860 28880 28900 28920 28940 28960 M@$@D :ND $#:$%$ $ .Mh8' MT:3 AD$ M<# $ M M $NI13 M`( T AD$ M # $ M M $h 1' M # $ 1 # l 3 M $ M M $ D$ 81 M[ : H M j8 a81D' " ! #%$@ MS# NC $ 1 # l N M4$ MO M' $! D$X81 M h f( & MV" N Z81D' MI#C >C #( 1& 29000 $ " T 0 Asym (ppm) In (BLUE) and Out (RED) 80 χ2 / ndf Prob p0 7.436 / 7 0.3849 32.27 ± 7.056 χ2 / ndf Prob p0 4.159 / 7 0.7613 -43.28 ± 6.578 W 60 40 20 0 -20 -40 -60 -80 1 2 3 4 5 6 7 8 Oct χ2 / ndf Prob p0 Assym (ppm) In PLUS Out 60 5.326 / 7 0.6202 -11± 9.647 40 20 0 -20 -40 -60 1 2 3 4 5 6 7 8 Oct χ2 / ndf Prob p0 Out MINUS In Assym (ppm) 10 6.271 / 7 0.5085 -38.16 ± 4.812 0 -10 -20 -30 -40 -50 -60 -70 1 2 3 4 5 6 7 8 Oct # & $ " AWD$0 M4#C $ M D$& M#C $ " M $ $ N - , & M3$ 3D : D $#:$ $0 !M@Mh8' M M $ T1 Ma( M3 A $] 1'h#i& MT$ < M#C <C " $ # 1*'&J#:$%$ !M<M h8'Z#C & M # 81#C KC " R#C &' M#C C M0: Q + + + 0 2 % -W . -85 F,k@j,!A-@9F,GA Y1-(-K>9,>F, 08-*Q @:9-VY < > < > : ,I?@N+ ; ,A >=+@ J=>=E,A - "+ ; @:9 < A @92-KA < A @9 < A-KI < A < +2> ,AEW, -XY `@:92->- -KI?J@ < .- IK+2EhE < @N@-(- >!@:9 < A @:92-?A < A?QXQ -X@ ; -L,k@U@:92-DY < > < > : ,GI?@B+ ; ,A!,G> , < @ < +2>F, J=>=I8- ; @j, < >H@D +2> @92-a,A% EhE0-?@ ; AN-Oc , < >- < > % -KI@ < +2> ,= 0 Q @:9Y < > < > : ,I@B+ ;\< A\,gEVJ1@ < O < IL,k@ < - ,GI?@B+ ; Y,-@DQ -8-K> /. 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N 4 1 +2>2-?A?-?@ , Q>2- O ; -?O ;N< >H@KQ Y 535 7 2 6! 754 2 +2AMO < AMI9 < -@ , Q 2>9 4 A - B -?@N@ dQ Y 2 N 2 Y 565 0 2 -! . 4 1 < c Y ; ,G@:9 -@ , Q$2 9 4 A - B -?@N@ $# Q , N Y 0 22 W 20 . 4 "Q 5 < ,-?@ , )W N 0 2 !XW54 1 Q- < AC-Q ,J=>=,I Q ; < -KJ TQ T S b+ ; 7-?@LQ + I92-GQH,> 6 5 ,G> 2- < QD : " $>F, 4A < AD +@-KA . 1 1 2 ! 2 4*/` ! " 1 Q 1 -D-Q I# 2 " C :$ Q >H@- ; >F, 5 -?OT+ ; @LQ1 5 $>F, 4 A < A B + : ' ,G+2J=Y < Q Q )W37 0 ; ,AMIL, ;M< ,Q C 5,2,A?Q 1R+K2- ; > 2 9 4A < I?A + !*Q 0 Y 565 ! 2 , 5 4 0 -5 2Q$2 9 4A - & #d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i@ ; +> : -?@ , Q2 9 4 A - B -@N@ ) *Q 0! , Y 565 NX 2-N 5 4 9-@N@BO +.+4 >=O J < J=I -= J + -O +. 5 + Q + ; , ; + % Y 5 02 O 2-N 0 4 T = +) ;M<c: -?@ , Q= J=I >=Ai@ ; J=E 1-?@:9 + Q 4Y 0)W Y 565 NX 2-N Y 4 ] S, ;N; -?@ , IK+X ,YP+ ; ,G@ < +2>U Q < >bO ; -KO=, ; ,G@ < +2> " + ; J=I >=Ai@ ; JE 1-?@:9 2-N 5! 4 T - c AKQO ;N< ,k@:-IK+EEZJ> < IK,G@ < +2> 2-N J, 4 T T- ; ,J* Q -?AN+2>=,>-@ S, < @ < -?A 1RA 9-@N@NO +.+ E ,Y + ;M: + : - ;E' ,J +kYTI?EA 9-@BE 2-NXN 4 c ,J : 9-@:- ; QF db IA" ID": " !<1# F$D$ < M ?8M M Q -?> < + ; / +2>=+ ; A 92-KA < A?Q < 5 < ,Em,> 1R, ; Q Y 565 , 2-N 754 = P ; EhAM@ ; +2> : Q 1R+ \@KQ JD - < E,>*Q " $ 2 $<1 ? +G@:- B ' ' 5 ! ' 5 0 . Y 535 ! Hk h T 1 % Q B ,Y -?I9=> < IL, ,+=Q >H@ +2J ; >F, d+ )W 0 2. 2-N . 4 5 < AKQ4O ;N< G ,G@:-I?+2EEVJ=> < IK,G@ < +2> 2-N W54 1 / ,GJ : - ; -@ , Q J=I >=AM@ ; J=E 1 -?@9 '!*Q !XW Y Y 565 0 2-N 2 4 0 < >=Ic , <c; Q ID : H " QSQ-K,E >=AM@ ; J=E0-K>-@j,k@ < +> + ; HAC9=+2O 2 W 2 W I?+2> - ; -K>I(-]O ; +4I(-8- < > : A 2 7 5 4 1 @:- <1: - ; S ,5* Q M"H$ % - Q 92- "+2J ; @:-(-?>-@:9 < > ' @:- ; >F,G@ < +2>=, AMO < >gO29 4 A < IKA A4 EhOT+A < JERQ 2 Y 56565 Qd 2 +2> - ; -?>=I(- 2 ; +4I(-8- < > : A?Q 5+Xc JE3-$N . 5 Q 2 ! N '2 , Y Y 535 0 2 70 4 9-@N@BO +.+kIK+KF , E ,Y + ;M: 2 7 Y 43Q Q-?>=Eh+ 9H@B, ; QFO ;N< G ,G@-IK+2EhEZJ=> < IL,k@ < +> 2 7X5! 4 9-@N@BO +.+4 ,OA ,> : +) + -KO < IKA:+ 2 7 J, 4 = I9HJ @ 0GQ D - 2 Q D -?>2 -?> < >*Q Q ;M< ANI9)Q 1RJD 9=+X ,>)Q,2 ,- 0GQ /] ,G> : ,>C 0 < @N@-Q M QD : " @ M " ! C% ADC , IM Q B ' 2$ ' 767 5 7 Q 0 22 = 2 7 N 4 2 - ; 7 - Q 1 S, c ,IQ c , ; Q =,2 Q ; ,E0-KA?Q ./ ,>A H>2-KI9-@KQ 1 2+ - - ; ,>" 1 @BJ@ 0KE,>*Q M"H:$ % - " : Q415, < > 0 2 , ;M< @D + ; HAC9=+2O 2 ; +4I(-(- < > : AKQ 15, < > 0GQ Y 565 4Y 2 76754 $/ ,G>=A H>2-?I9H@KQ)O ;M< G ,G@-IK+2EhEZJ=> < IL,k@ < +> 2 7-. 4 1 2 < @N@LQ?-@b, Q & IM ?( $ $ : M ?8M M Q >-@:- ; >F, -?OT+ ; @ 5 ' = +4I ' Y 6! 7 ' 02 2 7X5W 4 = S,k@:-KA?Q J ; 2 9 A ! Q 0 5 2 Y 565 NX 2 7 2 4 T S, < D - Q % $ U " $ @ 1 C D$ M ?8M M Q >-@- ; >=, -?OT+ ; @ 5 ' = +4I ' N H, . ' 4Y 2 . 5 4 1 1RJ2-?@92- ; QT :$ : " " U " ?$ Q XS,I , ; a > : 7 ,>F, 4 A < A B + : YT+4+ $>F, 4 A < AD +@:-?A = 0, Q Y 565 7 2 .0 4 1 1RJ2-@:92- ; QFO ;M< G ,G@-IK+2EhEZJ=> < IL,G@ < +2> 2 .XY 4 B < J*QO ;N< ,k@:-IK+EEZJ> < IK,G@ < +2> 2 . 5! 4 B < J*Q % I : Q >-@:- ; >F, -KOP+ ; @ 5 ' +I ' NXN 0 ' 0 Q Y 565 N )W W 0 2 .,J4 = 2. N 4 ,A 5 B < J*Q A T - *,> $ : K +4+ *Q=O ;M< G,G@:-I?+2EhEZJ=> < IL,G@ < +2> " M@ T M 2 / 2 ; -KAMAKQ 2 Q ,G>=>2- ; 2Q P 2 .3754 ] /8M$ MU " M ? D2 ; -?ANAKQ 0 A <@ 2 .2. 4 0 2 . 5W 4 2. 2 4 2W 5 4 2 W0 4 )! Y 565 N 2W " F$ IK+2> Q- < C A -Q $> : D- ,>F, = J S, =,QF " 0 ,E M J=YP+@j,Q <H X ,G> 0 Q Q + ; , ; \ $> : D -D$>=, 4A < A J ; J G , / 0 ,Q ` E' 4A < A B + : YP++ ` $>F, +YF, -,AC9 < Q H $ >=Ai@ ; J=E3-?>-@j,G@ < +2> + ; HAC9=+2O $Dj8M$3#($]8M $ E< VJ ,G@ < +2>_ +@-KA = Q ,A -5 QO ;M< G,G@-IK+2EhEZJ=> < IL,G@ < +2> 5>-@N@- ; < > : Q I$81 Q4A-?IK+2> - Q S,GEZY ;N< : - > < - ; 6% 1 QQ-L,GE - ; -?>=I(-]O ; +I8-(- < > : A 4A < A B + : YP++ ,67 Y 565 7 S,I %! W ,; 0)! Q Y 565 7 = 2 W Y 4 T < -cE,> -@$, Q$2 9 4A B -@N@ )!*Q 0 Y 565 , 2 WX!54*/` CJ*Q + - Q ;M;N< > : @B+2>)QF J=ID-K, ; 2 9 4 A < IKA + )*Q 2 5 Y 565 NX 2 W ,J4 +@N+0-@ , Q 2>9 4A - = !*Q 5 !, 5 0 . Y 56565 2 W N 4 ; < -KJ -?@ , Q C$< I " b % 1# $D$ H :$ >-@:- ; >F, =+4IKJE3-?>H@KQ 5 ' = +4I ' 7 5 2 ' 0 Y 535 NX 2 B B -(-Q I: %# A$b#181: ! 1 & S,G I , ; 9$> : D- ,>F, 4A < A B + : YT+4+ h$>F, 4A < AD +@-KA Y 565 7 1 -KJ + 1A 22 Y $,k,9=, ; ,Q % A ?$$ Q 020 Q = +@-KA "Ch IM" ($ 0 M QD :0 9 = = < ANA- ; @B,G@ < 2 + >*Q= 5, ; c,> *Q D Q :$N H M " 8 Q % @-KO29=,> < - B +2J < A- S, < D- 0 ,A YP+ ; > < > ,>-@j, +AB,Q S, < "+ ; > < , +>15, 0 . @:9 0 2 . 2 @N+ 1 < I9F,-T,> =H-?YT+ ; ,9WS, < 7 - 92- ; -KI(- < - 92- ; S,I92-c+ ; + I < -?>=I(-R- :2; -(- < >WO29 4A < IKA ,G@\@:9- +X D- : -a+ < < ,E ,> 1R, ; < > Y 535 Y $AW,> J=>2- ;N:2; , =JF,G@-QXAC92-ROJ ; AMJ2- LM- = A $Eh+2> : @:92-?A-*I- ; - ; 2+ : -?> < I?A5,G> AM@ ; +2O29 4A < IKA ; -?A-K, ; I9 < > ,G, ;N< -?@D+ & ,G@h@:92-9 + = , ; OF,I8- Q <1: 9-@ Q-K>-@:- ; Q +2>2-KAi@ ; JI?@ < .- G, cJ=,G@ < +2> I < -?>=I(-?A B ,> : 7 - -?A-L, ; I9 Q-K>-@:- ; Q < +2O29 4 ,G@_@92-g A < IKA ,G@_@92- B +2Aa c,Eh+2A_ ,G@ < +2>F, B ,YP+ ; ,G@N+ ; Q +2>2 -?>=A- 15,G@N@- ; 92-K+ ; ,G@ @:92- > < . - ; A < @Df + Q9 < IL, : +=Q,>^ J=ID-L, ; 2 9 A < I?Aa,G@h@:92- 9=+2E,A -6A- ; AM+2> $,k@ < +>F, X $I?I(-D - ; ,G@B+ ; Q ,I < < @D > @:92- O ;M< > : + Y 565 ! QTAC92-N-K, ; >2-g , = < Oc +2E,!+ ,G>=I(- @BJ < -KA1" = ( < > O1- ;N< E3-?>-@j, 2 9 4 A < IL, 1 -@:9=+K= A/ ; +2E @92- + < >-@ > < . - ; A < @ < -KAD$I?I(-D - ; ,G@B+ ; I9=++ Q=+ ;M: ,> < 0(-R Y a @:9- J ; O,-K,> I < -K>-@ < LFI >=AM@ < @NJ@:-GQ < >` ; I9F,EhO=AKQ Q ; ,>=I8- 9 < A S ,GA " +X c +)Q -` Y ` , @-KI9=> < IL, Oc ,I(-?E3-?>-@ ,G@X@92- J ; +2O1-L,> 4 >=I9 ; +@B+> , < ,k@ < +> Q ,I < < @D < > ; -K>=+2YD -Q < > IKI(-D - ; ,G@N+ ; 92-K+ ; b Q ; ,>I(- 92- -K, ; >2- , 1R,AM@- ; + I < -K>I(- < > Y 535 , ; +2E @:9- +X D - : -\+ < < ,E ,G> 15, ; A], :; , = J=,G@:-ZAi@BJ -K>-@Z,k@ -86,- ; AM+2> B ,GY*QdA92-S9F,f +O=OT+ ; @BJ> < @ < -KA @B+ E0-(-?@],G> E,-ZO ; -KAC-K>-@j,k@ < +>=A$@B+WYT+@99@:92-KI ; -?@B, ; R + >2- ;N: ,EZJ2- +K= E,>9,G> 5 <1;N:2< > < , -?>F,G@B+ ; -?+ ;N: -V D -?> 9 < A < ANA- ; @B,G@ < +2> ,A(2 - -?>2 -f +> 2,>HJF, ; W @9 Y 565 . ,G@@:9 +X D - : -V+ < < ,Ee,> 1R, ; J ;M; -?>H@& Q @:-?O29F,> < - < A$,a$,G@ < +2>F, S,>I(- ; >=Ai@ < @BJ@ D OP+2Ai@ = +4I?@N+ ; , -51 +) < >b@92- , < +X1 + : =H-KOF, ; @BE0-K>-@ ,G@D@:92- @B,>" + ; 5 > < - ; A < @D I9=+4+Xd + 1 - < I < >2- 0)W 2 @-KO29F,G> < - B +2J < A-6S, < D-
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