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еeasurement Of The Neutron Lectric Form Factor At

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"    F' "                 F'' 5   A        F'B 2 0   A   FB "                   $%       &   C' CB CF CC  0   A  9 "J 0          )           A  +                                                                                                                                                   C D E G G ' '' 'F 'F 'H 'G 'G B' # BD BD BE F'  FH FE F FG CC' +    K!L "  )  CCB /               CD "      0          CD' 0     +     CDB + 0   $         CDF 6  /              CDC (   +                CH   0                   CE 2 !$                    #  '                                     D' +       0             D'' 0    *                 D'B A *                   D'F 0  (                   D'C 8                      D'D 2 !                      DB   0    )               DB' I2) 0                    DBB 2)                DBF < & )                    DBC +   )                   DBD    / )              DBH A  2     / <  +   DF )   0   !                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' " /    9' A  +                             'BE 9B                                     'B )' #   0  2   "                     'F )B  +    /                       'F                                  +         'G''           >             ?                     K L          ,B-                       GGGD      ( 'G'G                       K   L ,F-          ) &  'GFB ,C-                                                         4    )            & K L                      6                             /    +   ,D-                  I          2                            ( 'GFG ! 4  9                                 &                        <                                                                   (  'GD. 6      ,H-    '              "#                         "                        4         ,E-    K         L               +             ,-                                                                                            K   L          &                                      M&   'GFD ( 'GHC * "      $ &                 K   L                               6       K$ & L (       $ &                                                        $ &      $ &  $ &    !       I   )     $ &                     K L           %                       $                             $                                          $                         /                                 I   )                  N                'D                                                                            B          (                           $                                                     (                 4                  N               (                   N                                                           '                   0                      A                                                                 (         &          *#               $    =                                          !   "   B'   !'     6  "!"( F                 A                                                             B' I   A   >IA2?                    /                                (        =         $                          &    :                                                                Y e’ pf (E’,k’) e P f (E’,P’) Y γ q(w,q) « 1/ 2 Q « i P (EX,P) pi (Ee ,k) e X /  B'O A     %          (          P  M       C                (    2    &             ,G-O                      & P  M > B'?      &           %                    ,'-O                         >B'?                  B'                                            (                                                                       $                             /                                                             (                                                              >BB?  >BF? 6       2   >     ?                              ½¾                     D                 2                     ( $  BB  BF                                     *                      /                                  $                                          >BC?                    (                                           %    %    &      $       Q   )    &        ;            O                                           >BD?              BC       9'  9F   ! 9        =  "              )                                        !                      B'   O      H                   >BH? 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BBB               4    $                    )              (                    %    > ? )     )     *!   (*   !  *  ! (*!    2    !  !  >BF? /                                  !  )  2!    ) )&                             5 '      5) '             +   $  BFC                        O       5                                     4         &          '               > BD? <           $           9     (           & 8  ' 8   /'     * ! 4  4   4     /  '  4   4  4     $           $     >  ?               /     $       4              BF      3             3                                >  BBB?                   $  BFD <          $            1    0   1   0     > BD?                    1    0                    (                & (  '                                   4                       > BD? Æ BC                  0   &             4         *     ,F'-                    2A+M >$ BBC? /        9        #         '                         )                           >  BB'? *                                  )                       O     **                             /  8  ,FB  TDH /  F'   *     %                            %     +                   +   ,B'-  0 &                (             )      %        Æ    !          !      ! !      ! !    &              ¾ !        &        BD 0.12 0.1  0.08 0.06 Feshbach−Lomon Hamada−Johnstone 0.04 McGee 0.02 0 0 0.1 0.2 0.3 0.4 0.5 ¾ 0.6  ¾  0.7 0.8 0.9 1 /  F'O           )     *                        /   8 ,FB->TDH? 6  3 ,BB->T'E?  "*,FF->T'GE?                                                                     !                  *                 >       B'D? O     %**     /  FB       +                                              0 &        0   +)                      "    +   +& ,FC-          $              I                     KQ      L     &             I               , I                       *                     ,   =              &               FF;               ¾         ! !  4  ¾   ½ ¾ ½· ¾     ¾       ! !     "        ! !      &        $      ! !  BH 0.12 0.1  0.08 0.06 Nijmegen 0.04 Paris 0.02 0 0 Argonne V14 RSC 0.1 /  FBO 0.2 0.3  0.4 0.5 ¾ 0.6  ¾  0.7 0.8 0.9 1     0 &  ,B'- 0.1 0.08  0.06 0.04 0.02 0 0 0.2 0.4 0.6 0.8 1¾ 1.2 1.4 1.6 2 ¾ /  FFO         2     +   +&       $                             &     I                 *                        0 &       0                   &   "      "(9  ,FD- (76A/ ,FH-  "!"( ,FE-,B-   &                           *      $                                7 BE                                      BFB !                                     &    0                                                        %%   $1                          $        O  *#  "( ,FD-   *# ,B-    *# ,FE- "!"(  $            *                  !  )   *  ,F-        ,FG-            &('                   O &  5   ( ( (        (            (   '  5 (    ( ( (        >F'? >FB?             (   >FF?    $           BF              BC     / $                 9         &                       '     BFB (                        %      $  F'FF   B &  '   ( ( (         >FC? !                &                   *                        "                 CD (                                        &              =  %    /              A                                        1  1  !   9                                                        >/+(?       >"A)?      >()?        6       ,B-        ! R     %  &        *#                  *#                   !    /                                          /       %%    +   $  !                          %               $  F'  FF               ,B)    &  '   )&  )'    >  BF?           $                                 !          >$ BF'?    5         5)   !                  $  B'H BG              )                                >4?    >?           O   5 &'   5 &'  )&'   5  5 &'    5 &'  !                       2  7                                                                                     O   *#  ,FH-   *#  ,C- !         BFB                     $            )  $            9     !                            %     9      /+( "A)                 !   $  BFF )&                                & (                     )      )    2   )&      ! R                                                              )     (                                               (  6  ! 38!9    *#           /+( "A) ()     %         *# 'F ,C-                   ,B- F  7                        7   *#        O   *#  ,C'-     ,CB-,CF- /     7               +         4                  0                           O )& )'   ) !  )  2!    ) !   2!      ( ( (                                         6             /+(  "A)        7                                             *#     ,C'-       /       * &   ,CC-       /+( %        DD                *#  ,CB-              ,CF-      /+( 9          /+(        FC       )                      FC              " 4 ,FE B-  "(9  ,FD-;                  (76A/ ,FH-  38!9 ,C-;   7   " 4 ,CB C' CC CF- !     *          0 &         0        "    1  (                               O     F'  MAMI [19] NIKHEF [35] MIT/Bates [34] MAMI [36] MAMI [43] JLAB [36] MAMI [42,41] 0.12 0.1 GEn 0.08 0.06 0.04 0.02 0 0 0.1 0.2 0.3 0.4 0.5 2 0.6 0.7 0.8 0.9 1 2 Q (GeV/c) /  FCO             /    >   ? ,B FH FD FE CC C CF CB-    &     7             !     *    > &?  0 &  > ?            >FD?                                                =                  $                         :     ,CD CH C' CE-            %        $           >$ BBG? 6   %                    0<(!                 &                                                6                %          A8+!   ,CE-     ''D                              N -                     A8+!       -                  "!"( ,CH 'C-  (76A/ ,CD-               0+(        FB 1.2 1.15 1.05 1 n G M / μ nG D 1.1 0.95 0.9 0.85 0.8 0 0.5 1 1.5 2 2 Q (GeV/c) 2.5 2 3 3.5 4 /  FDO                               :   " 4U0+( ,CH 'C-   $       A8+!    :  ,CE-       7    ,C CG-               :        ,D-                ,'C-                                  $         )! > )'  $ BFB?  7                             $     7  ,C CG- !    7                                             !             ,D-        >  B'C?              *#              ;                   FD                   7   ,'C-  A8+!                   .                        D    9  *#   !   $               &                           FF              ¼  F+    /   >!' 6 ? ,D'-  " 4 "   >"!"(?                                                                 " 4                                                        $                  &                                 *#      >              ,DB-?  *# /         F "#        )    D  & $      /  CB                                               +    ! >9  )     ?                                Q                                                            $            /                                                            /     <       &              FC /  C'O 8   "!"(   F  &    >B  "B  '  "F?         !' !B !C P'  62+" >6  2 + "  ?                          'D *#  BD Spectrometer A 5cm Liquid Deuterium e− Moeller 883MeV 10uA 80% polarisation Spectrometer B 111111111111 000000000000 000000000000 111111111111 000000000000 111111111111 000000000000 111111111111 000000000000 111111111111 000000000000 111111111111 000000000000 111111111111 000000000000 111111111111 000000000000 111111111111 90.0° Pb 000 111 0000000 1111111 111 000 27.30° 0000000 1111111 000 111 0000000 1111111 00000000 11111111 000 111 11111111 00000000 0000000 00000000 11111111 000 1111111 111 0000000 1111111 00000000 11111111 000 111 00000000 11111111 0000000 1111111 00000000 11111111 0000000 1111111 00000000 11111111 00000000 11111111 0000000 1111111 00000000 11111111 0000000 1111111 00000000 11111111 00000000 11111111 00000000 11111111 00000000 11111111 00000000 11111111 00000000 11111111 00000000 11111111 00000000 11111111 00000000 11111111 00000000 11111111 00000000 11111111 00000000 11111111 Sh ield ing Ma gne t 1st Wa 2nd np ol ll Wa ll Spectrometer C /  CBO  !'         *#               FD                      >          ? 6         > ?  >  ?                                                                                                               *#   $       CDF "#                        CBE "#                 + F "#            "!"(                                *#                        "!"( Æ Æ Æ             0     ,DF-                >(((#?       * ! 0 ! O+                        F                    * ! 0                            0&     $                    GGD      Q          0&  6  Q                                    D      Q                      ED                 D          "!"(9          ,DC-                    (      >.?       &       FH           /                               %                             /             '        8( !)         "!"(    '                   "!"(                          F     &            "# /  C'           ! FD "#    =        & "' (            'CFD "#   '     (    & "B     ' "#   D'          "F        ED "#                       Q                                   "#       F "#    "F   9   !   !                                        "J                      /        >#           >!                      O        )  ! # -  Æ <                  )--               IA2                      >S?     >?                                           & O Æ FE Polarisation(%) 90 85 80 75 70 0 10 20 30 40 Time (Days) Zeit / Tage (2001) 50 /  CFO          B' <             )--  # ! 60     >C'?  !' "J         &                            C            D  ! $       "J            4                 A             Q                                   "J                )       %                     $  C' /  CF            "J        B'                        * ! 0     Æ  !    2        $ 6  >86B?  $ 2   >82B?       6    $           2              & !             CC      D    F Flow Guide Heat Exchanger Fan Bellow Target Cell Flow /  CCO  !'     Cerenkov Detector VDC Detector Scintillator Detector Dipole Magnet Dipole Magnet Quadrupole Magnet Sextupole Magnet /  CDO +     +    ! !' 6  " 4 >0   6" &?    86B  82B                $    86B         B' 7  0              H < ,DD-     $         $                           H                     "     !'   "!"(   F           > CD?                         ,D'- "                FG Focal−Plane Reference Track Target /  CHO 8                             !'         &                           2                      $                                         $      &                      !                       &                    ) &                       /     +    !                                                    '()   $ *               CH (       $  >I?    >+?    >2'2B?  $                          (                                    &        /                          C   &              &                                   $          ( +    !            'D        & >   &    ?                  &                   =                                                          4                4          =                          4                           =                          >?           &     Æ     8                Æ     +                   =                                                        =    &                                                                             !             CE          O         >#2) ?  &                                                            ) &                   C' /  CEO           +    ! 2  1 .%  A             #2)                    #2)          C               BC            H &#                                                            BD   #2)         CGBD   CGBD      'D         !        #2) > C?                                                                                                                                 #2)     &             +                         & 7                              CB θ particle track cathode (- 6400 V) x−y position L t6 signal wire t3 z3 z z2 potential wire z1 z6 t5 z5 z4 24mm t4 s 5mm t2 t1 x cathode (- 6400 V) /  CO 2   #2)      %                &                                   'D              F & A 'B!     ' & A 0 5 0                                                                        2)                 >             ?                       $% %   .   !    0     ) &            /  ''C >.% .=        A            ' "#    ) &                  BE *#    ) &          Q   B  H           C  D                        Q        B   H     >'C     ?                   DL       !                           ) &          CF            N >GGG ? .                                                !  !  2!  1!  !  0!       &    >#2) ?                                 1    0    2  Æ       $           !  !  2!                   !  1  !    6       &      $  &        >"!? (       "!             &                                     #     !       &    %      &         !  2!                              & !  2!    !                   (     "!        #    $                  >=      >  ?              4                                                 ..    $           >  F'B?    !                            =                 K   L                   <   ! &           CC Ý 2nd Polarimeter Wall Ý 1st Polarimeter Wall Ü Ý Ü Ü \ n ¼ ¼  n Target  Þ Þ  /  CGO                                0                  1  &                   1   0        0            DBF CD       $        4               ,DH- (             $              !  )  ?" *) <  *          ?"         "  %                                      O    @  2  ?" *   ?"     *      ?" *  ?" *    >CB? <  *  *                                               A$  CB  =                          /                                 ,DE-O    A  :           :                           +       $  CB  %            @@ Æ   :     @     A                 A             ;                         C'      4             :                     4                                    ,DG-  Æ      $  $ 67           ¼ CH ¼  α(θCM) 0.5 Tn=400MeV 0.4 0.3 0.2 0.1 0 -0.1 -0.2 -0.3 0 20 40 60 80 θCM 100 120 140 160 180 20 40 60 80 θCM 100 120 140 160 180 dσ dΩ 10 8 6 4 2 0 0 /  C'O      > ?  %         >  ?        +!(2 ,D-         CE  00 11 12 00 11 00 11 «   È È   0 1 0 1 11 00 0 1 00 11 0 1 00 0 1  11 00 11 0 1   00 11 0 1 10 00 11 0 1 00 11   0 1  00 11 0 1 00 11 0 1 00 11 0 1 00 11 0 1 00 11 8 00 11 00 11 00 11 00 11 00 11 00 11 00 11 6 00 11 00 11 00 11 00 11 00 11 ¼ N(up) ¼ N(down) 00 11 4 00 11 00 11 00 11 00 11 00 11 00 11 00 11 2 00 11 00 11 00 11 00 11 00 11 00 11 00 11 0 0000 00 11 0000 00000 11111 00000 00000 11111 00000 11111 11 00 0 1111 20 40 60 1111 80 100 120 140 160 180 200 220 240 260 280 300 320 340 360 π11111 2π 00000 11111 00000 11111 00000 11111 00000 11111 0000 1111 0000 1111 0000 0000 00000 00000 00000 1111 1111 11111 11111 11111 11111 φ00000 ¼          /  C''O (   2      KL    > ?   2       &  2 (  2  >CF?                              ?             2                           &  (                            > CG?                            %                   ?                        4       : 2                      >?              & ( (  >  F'B?  4           > C''?                   &  O Æ   Æ )   ?   &  : 2 : 2 : 2 : 2     >CC? 2   &      $     &           %                   & !           &        ¼ ¼ ¼ C ¼ !     , " !               "J         %                     (               /    &         9              .      B  &   &                   (            &                                     %   $  %   &     " 4       (      $           '        0  " 4           ,B FE-                $     ,F-    $   $           /   Q   8                   CO C   /  #= >CD?   9                   (           &         $  CC     >=                   ? !                                   O  C Æ  & ' >CH? "       >$ CC?                   4        ..       %             (            %                                          %  &              HF      !   !          $ $ /8 CG ! -  +   8                          %      N           9                   4                %          Q    %  Q             4       %        >$ CF?   $      2  2                     %           O )   ?    & : 2  : 2 : 2  : 2     :  2    : 2    :              : 2    : 2    >CE?  ! . + +                                                      /                                           %  &                                (         &           %                     &                                > C'? 2                                > &       ?      N          >   C         ? &                             D 8.3m 0000000 1111111 1010 00 11 00 11 1010 00 11 00 11 1010 00 11 00 11 000 111 0 1 n 101010 00 00 11 000 111 11 00 11 000 111 0 1 00 11 n’ 000 111 00000 11111 0 1 00 11 000 111 00000 11111 0 1 00 11 000 111 00000 11111 0 1 00 11 000 111 00000 11111 1010 00 11 00 11 00000000000000000000 11111111111111111111 00 11 00000 11111 00 11 11 00 00000000000000000000 11111111111111111111 1010 00 11 00000 11111 00000000000000000000 11111111111111111111 00 11 00000 11111 00000000000000000000 11111111111111111111 101111111111 00 11 00000 11111 00000000000000000000 11111111111111111111 0000000000 101111111111 00 11 00000 11111 00000000000000000000 11111111111111111111 10 00 11 00000 11111 000000000000000000000000000000 11111111111111111111 2nd Wall 1st Wall y z Target n Pb Dipol− magnet /  C'BO  !'        >    ? % $                        ,DG-       C'B                                                                   %                           Q                                        2     2                     >  CD? /                     B    'D                       (      'D '  &                                          &                            F    C          &  4  !  '  &               !          B                         &                D'                         !               ,DG-     !  )   )  ,F-                                       >  CD?                      F  H  G                                             '   !        B                  '                  A                   &         ! D  &                              D                              A                >0"?                             0".           >2)?      >I2)?     I2).                       B 2)            Q            2) %                     B                   &   '         $     !I5! ,H-                              N    /   #"A        +    !                 !2)     >   ?                                      DB /  C'FO              DF S V2 V1 = 1 3 17Ω Pulse Split & Delay/Attenuate N2 2 N1 1 2 S S S S B B B B B B 17Ω 17Ω N2−3 55ns N2−2 55ns N2−1 55ns V2 48ns 72ns S S C C S S S S S S S S C C C C C ECL D 150 +20 ns− C Discriminator C C C E Horizontal Detector C C C D Twist & Flat A 100ns 83.5 ns H 3μ Increased from 0.9 to 3.0μ s add 222 S S I I D 8ns G G 4 lines 4 lines QDC Analogue (0−47) Gate Clear CLK F 100 n F 300μ 60 m E (from A) Interrupt System busy return to Spec. A INT 2 Event Counter Times at inputs to main coincidence A viewed in Messraum via TM lines XA: Spec. A = 0 ns XB: N1 OR = −(31 to 37) ns XC: N2 AND = −(22 to 36) ns XD: N2 Veto = −(60 to 74) ns 24.5ns total Key A: LeCroy 364 AL B: LeCroy 4413 CAMAC C: LeCroy 4516 CAMAC D: LeCroy 622 NIM E: LeCroy 429A NIM F: LeCroy 222 NIM G: LeCroy 4616 H: LeCroy 365 I: KPH NIM CFD Coincidence A may be configured AND/OR and inputs A−D turned ON/OFF E 20.5ns D 180ns Reference detector anode output + 30 m RG58 T0 T0 = T0 +76 T1 = T0 +45 T2 = T0 +37 T4 = T0 +76 Fast Clear D E 21.5ns 50ns Start for N1−1,2 TDC (from A) TDC E 10ns D clear stop Interrupt inhibits 40ns fast clear E D μ Busy F 83.5 ns Npol coinc. return A XA XB A XC XD Veto Spect.A "TOF" Scint (before & of planes) 2nd wall vetos not in tigger QDC Attenuate 200 ns B B B B B B B B All Channels C Swap ECL polarity for NOT V1 All polarimeter channels common start 55ns delay   $    > C'F?            &          Q   $                              >    &  ?              +    !                                                           K L                               >  !   C'F?       !               / )  B)      :7    &       $             /      :!=  B#              >    +?         !2).           >9? /         >             ?         D  '               (          ! 2               >)?  :!=         : >)  A?         :!=       $  :                                      ! 2         ! ! 2 >2?  :!=  :!=        '           :!=  B#   (        + !             >?O >?     K      !L   #"A       !2)  2)     $   !             &         #         !I5!                   < !I5!             #                                2       !                    &   DC %            !2)  2)         >?! '           !2)                                                         >?!        / )  B)                  2)                                %               Q     >  DBD? >?              + !        K      !L    (                                                            ;  64       30     !'  $      !I5!                           !          #"A                                2)  !2)                                                         (                                          B64        &    &      !                    /        4  &     "    !         F   K  L DD    ! #    (  $     0    &                                                0                                                                 ,H'- (                               >        CDC? )                         (                  "  )              )A *A! C >*C? "  )    ,HB-        ")         ::       ,HF-                                                 *C            *C   =         )SS               ,HC- !   / +             *C $                 .   !                                 DH Magnet 2nd Wall 1st Wall Target Side View Top View /  D'O +              *A! C    (                                               &      '      G                /  D'                    !   /                      N Q                     %       ! 0  /    *                         =   K  L          !                                                                    DB                  $                            $  D'             DE 7000 10000 6000 8000 5000 6000 4000 3000 4000 2000 2000 1000 0 400 420 440 460 480 / E e(MeV) 0 1.48 1.5 1.52 1.54 1.56 1.58 1.6 1.62 1.64 1.66 500 / θe(rads) /  DBO +              +    !                            >  ?     0   1%     >D'? !    K  L               /                                                  ,HD-                       O       0      '                                             +  "           D !    .     :                         "  &     .                 /       4 "                                             %'5 /    "#          6     6                       $                     (      *A! C             N                                    &       $ "     $             $      ! !      @ " / &!D6 5   >$          ?                                          >      ?          ! %'  4 5 %           O 5 &/ =@ " / &!D6 5  @ " / &!D6 5     <          ,'-         %'  5 %            %'  5 %   $   >    ?            7    "  /                  %              6   )   /               +! :   )   ,HH-                   +! :  DG *C                    +! :   O '        B   .     .  %   F   .     .  %   C   .     .    D   .     # H   .      E   .       #     .     .              +! :               DF (                                         F  C "# A      .                 )                $                !    $                          5      &         > C'? /                     $                                         4           &   4    )  %              O '                                               B    &                                      H      Cross section / barn 10 10 1 -1 10 1 -2 10 0 5 10 15 20 25 30 -1 10 -2 10 0 100 200 300 400 500 Neutron kinetic energy / MeV /  DFO )                F                     > DC?         +!(2 ,D-               C             ?   &        > C'?     +!(2 D  4     2                > C''? H     2                                                &        )  %  $                 %       %      K% L        /               9                                               /      &                                 +  H' dσ dθCM 12 50MeV 100MeV 150MeV 200MeV 400MeV 10 8 6 4 2 0 0 20 40 60 80 100 θCM 120 140 160 180 /  DCO  %          7                     &&     ,HE-           &&         &   4  /   &&                       &        BDD "# 4     !     &     /  DD ! 1    !             *C                 <                                                                     $                    ,H-                            &            "#             "    ,HG-        ,HH-   +! :              ,E-              ?   ?      ?% >DB? <                                     $                             ?  $        ?  %          HB p n n’ B* p’ C Before After 0 Sp Potential well of the proton in the Carbon Sp=Separation Energy Ex=Excitation Energy Ex Vo=50MeV   ¼                                                        ¼ ¼ ¼ ¼ ¼ ¼ ¼ £                                                   !            £            !         "          !      #     ¾  ¾   ¾  ¾      £  £   "        "          "         !  /  DDO I       HF T e(MeV)=T p(MeV ee) 50 40 30 Te =0.95T p-8.0(1-e -0.1T 0.9 p ) 20 10 0 0 10 20 30 40 50 60 T p (MeV) /  DHO 8                     "#                                    "# >  $  ? A$  DB       DH !! % ( +  (                 $         6 = O  >    Q ?      > "#  "#?          (                 !  = O                             =               &  ! 4                            Q             &             >  DCF    ?           ::                   !                              & &                    %                       $  CE   :  2            2                      &   '       HC \ A(φn ) 0.05 -0 -0.05 -0.1 -0.15 0 20 40 60 80 \ 100 120 140 160 180 φn /  DEO +      >   ?   4                >  ?       $  CE  $    %                  !              2      DE                      # $     )                                K L                                    !                                     (   &      Q           >  ?    >   ?               $                            %                           Q                $       2)                       (              %   2)                   &            $                            ,E' EB-           ):8!SS       >  DC'?   >  ?       HD                              &   !  &%$   I2)     %         I2)   (     2)        I2)                                I2) 4    4           !    &                     I2)   &             !  ,%$  0          2) >0 ')H?   'BC            '                     &                         2)                         2)      &         2)     $      !I5!SS )          2)            '           '  !  2 $            2)                              &                                      /            V       %                                   0"  > C'F?     =      & % ,EF- 2                                     > D?           V         2)    HH Pulseheight Eo Threshold r1 time r2 /  DO  %  %                   > ' B?                 & %                   $                     %    !  4       $                         & %                       $           2) > ?  I2) >A?             ,E'- O   A  >DF?        %         2)          A  "                            $                   $                       &          >  CE?                                                                                      0                            $  DF                           !    2)          &         DG /     &      $                         6                  %        2)  $  6           Æ Æ HE Pulse Height (channels) Pulse Height (channels) 8000 8000 7000 7000 6000 6000 5000 5000 4000 4000 3000 3000 2000 2000 1000 20 1000 22 24 26 28 30 32 34 36 38 40 20 22 Time (ns) 24 26 28 30 32 34 36 38 40 Time (ns) /  DGO            & %               &                &                      %           '                             > ?        O A 1  A  Æ                &             A                     F                  Æ !    $                                                           4        >         ?                >    ?   4                   > C'B?                N             4                 4                              H                                                      &              $                                                                             %                            >%           2) ?          2)                $  O    Æ Æ  1 /  2  Æ  >DC? D 1  Æ 2 /  >DD?  <    Q                 2                          Æ                /             8           1            0"'    2)' > D'? +       O Æ    1  1  Æ   /  1 D  Æ  Æ  /   Æ Æ      1                     $                   $              /     Æ  Æ  Æ 48 2                 /               2) %         HG Lightguide Photomultiplier L x1 TDC1 Plastic Scintillator x0 TDC2 Hit position /  D'O +               4                                                          /                            !    &     7        &      :    =                          &                          !                                                       &     (     '      48                       $       !                                                      !                       /                        &    (    '     ! ! ,  3   $     !       Q                          $  DC  DDO E ?     Æ    Æ D /   Æ   Æ  ? ?   2 2 >DH? ! 2     &              $      %  ?         &                /         &    Q   Æ 48     Q         7              &                             /           Q              ?      $  DH Æ   8 !                   7                                         Q          (                           !  %        Q                   O Æ     Æ            Q       &                 Q                    "                  !   &  %             /  D''              Q                      Q               & 4                          Æ Æ E' 10000 8000 6000 4000 2000 0 -30 -20 -10 rel 0 10 20 30 Tof 12 -Tof 12 (ns)   /  D''O  Q                      Q    & 4           &  D         ! #  + %     2      !                                  %                             &         I2)                O   .  .                                 &            *A! C         > D'B? !      D'C           "#      &                 &                   "#                         #       !                                                 4     C >$ CH?                  C !        !"         9>#( ?           !      ,EC-O Æ EB 53 5100 500 350 400 300 250 300 200 200 150 100 100 50 0 4000 1 6000 0 20 8000 30 40 50 60 70 80 90 1 Edep(channels) E dep(MeVee)  /  D'BO                         > ?      >  ? C   /  #= >DE? <                                           >  DCF?               Q                           ! %   .   "          #=    ,ED-              &                   >    &?                               2 >      DC'?      2 $      .                  2  "    <     #=  #  1    #    2 <    2  1         )                  %                    1      "!/(! F2        &  (          B          $        > D'F?                                        '   G   C    P M  W                                 EF 280 Y 330 260 330 Y 220 210 α 157 X Z 280 1000 /  D'FO +              )               8        >  ?         F                 Q       1          #  1   #       BEG                                  1        Q                 (                           &      F2           6          4           B                             '                    >      ?             Q     4              %     4               %  4           B             !              4                '                :                 B ,DB- EC # * +   ):8!SS                    "!"( !'       /            +     !                                         ,EB- : ):8!SS                  &                     :: ,HF-       !                         $ !       $$         !         ):8!SS                  I2)  2)    5   =                      =         !2)   2)                     !  =                    =               KL         O     &          2)  I2)         K QL  K QL      I2)                &                        4     I2)                                    .   .     &        2) >  DBF?   2)              Q             O +     !        !  !          !  & +    !        !  !            # -99  &:      "  ED !  ?.   ?.  ?   2 !  / / =  /   ?.  ?.    <   %  >?   ? 2             /                    DBC                                      )                                     )         Q                                =  K=&L        %                                                 6         &                                  X  (      Q             (        Q                                          Q   >  DF?                   KL             (           O     Q                               U  Q  EH No Spectrometer cut Spectrometer AOK cut 95 95 94 94 93 93 92 92 91 91 θe 90 θ e 90 89 89 88 88 87 87 86 86 85 0.4 0.42 0.44 0.46 / Ee 0.48 0.5 0.52 85 0.4 0.42 0.44 0.46 / Ee 0.48 0.5 0.52 /  D'CO  %   !:7                (                        Q                                        ::       &  !     +  CC                                    ):8!SS                        D'C  > ?    >  ?      K!:7L              !:7       O                    & ;          =                   ) &                                       6         (         $               /      &        ! 0                   :: $$           2                EE &      &             ):8!SS                        (                                                   =    (                                                                  &                                                 (                                            !     $$  $                           /              0      !      $$                            D'  4"                '                  O '           0                                    Q                     &                                        "   2          >  DC'?               "  "   O   /"      >D?      ½  ½  ½         !  $ 67 E #   "   /           /             '   <         '  % /                  <         '  B 0  /             '   <         +    !               +   CG 2   4            Q     '      Q     B     A       '    A       B   &     '              &     B              5 6      '   +                      5 6      B    +   '                 >T'?      >Y'?  +   B                 >T'?      >Y'? E !               #                 :! (     '          ' >T?      :! (     B          B >T?      )  +     SU     9 2 9    9 2 9        D'O       EG Gaussian fit to the precession angle χ for magnet current of +400A 300 Constant = 231.2 ± 250 11 Mean = -52.46 ± 0.04764 Sigma = 1.528 ± 0.05631 200 150 100 50 0 -80 -70 -60 -50 -40 χ -30 -20 -10 0 /  D'DO ! *      C >?   &            C!     0           2 >   9B? !                      E E   E          > ?                    1 > CG  $ DG?              2                $  D      "  E E  0      ' 1    0 >DG? "                      $ DE               &   *                     !            SC!              C      #    B  6   !     >  DCF?      &                                5  5             DB        5  :     9 5 9          '    S    B      '           S'         '    B         B           DBO 6 0      2 Edep(channels) 1 E dep (MeV) 6000 120 5000 100 4000 80 3000 60 2000 40 1000 20 0 0 0 0 5 10 15 20 25 30 35 40 45 1 20 30 40 50 40 50 t 2(ns) 60 70 E 2dep(channels) Edep (MeV) 6000 120 5000 100 4000 80 3000 60 2000 40 1000 20 0 0 10 50 t 1 (ns) 5 10 15 20 25 30 t 1 (ns) 35 40 45 0 0 50 10 20 30 t 2(ns) 60 70 /  D'HO                          E                  0                              (                                         ) !  (      &     >  DD'?                    $                                &             &        Q        '  %                      &        :! >  D'?                                   $   4                                                 >00?;           >0?;           >0?;         >? !   $$           D'  $        /  D'H               O  9  9     9 9                        Q            0                 Q                 %                      !         ; >   ; /5 =               &            ##   !            $$                         ) C     $  CE !      DH $$      O    T >     S     ?>      U   ?>      ? /                                           /  D'E      2      2   4             > CG?     B   &                            >$ CE?  (                                              : $ 2   :   B  2  >  ?                2   :                                 (    > ?   :& 2   : $ 2  2    Æ B N(φ’n) h=_1     Æ     N1 No 2X N2 B From Experiment C 0 π 2π φ’n /  D'EO (       2             2                            TS'      T'           4                       2         2       6  Q 5         &  &   : $ Q        :  2   : 2   <        9  ) >$ D'?   2       9 2 9      Q     %         N           # 2    2               O )2 : 2  : 2 : 2  : 2     :  2    : 2   : 2   # 2  . 2    : 2  # 2 . 2     >D'?   4              ) C        O :  2          9 2 9  : 2         9 2 9  :  2           9 2 9  : 2          9 2 9         $  D'        # 2   . 2     =  &      &                             !   F ) for Mag.   Field +400A Fit to A(φ     ¼ 0.4 Mag.   Field -400A Fit toA( φ ) for   ¼ n 0.4 n X=0.1599 X=-0.1234 0.3 0.3 0.2 0.2 0.1 0.1 -0 -0 -0.1 -0.1 -0.2 -0.2 -0.3 -0.3 -0.4 0 20 40 60 80 -0.4 0 100 120 140 160 180 20 40 60 ¼ 80 100 120 140 160 180 ¼   /  D'O !        2             P   ' ' 1 9 ) 2      $  D'    O )2 # 3  3  # 3  3   Æ  4  3  4  3  3   4  3  4  3  3 Æ     B  2 >D''? !            ) 2      P           ) C              %                       O ) C  B C   & C >D'B? A       &            !      D'           2                     4     Æ !!   4      <        Q                                ( #  .     2    >         C PR 80 70 (d) 60 (d) (a) (b) 50 t2 40 RP (e) 30 (c) 20 (d) (d) 10 0 0 5 10 15 20 25 t1 30 35 40 45 50 /  D'GO  Q   B           '                  & > ?                                     =             0  0  &                      ?  #        =                            O )% # "   "  # "   "  2   2  )% )%  ##    #  #   >D'F? >D'C? >D'D?        "  "#"  A$  D'C       &                       (          &    )%       %          9              4         $  D'F     %     /  D'G      Q                      4    >?                        >0?       >?                >0?                      D  >00?              >?          >? !         >?                        /     %    >0 0 ?                     Q                &  A             DB       O  / 0  >?      Q                           &        B              *    >  >??O                   / 0  >?      Q                        %   C                    %               &            &       F               &  *                   8     D  >  >?? O             D              /       $  /                       >      D'G?      F        &   *   >  >??O                                                  >?                            &               2                  Q                               + ;   &    & &   !     &             <         ! =       & &                  !         $               !   & &   &      !  !  4       ¼ ¼ ¼ H 450 Fit for RP background Fit for PR background (i) 400 (ii) 300 350 250 300 200 250 200 150 150 100 100 50 50 0 0 5 10 15 20 25 30 35 40 45 0 -40 50 t1 Fit for RR1 background -30 -20 -10 0 10 20 30 t2 Fit for RR2 background 500 40 (iii) (iv) 35 400 30 25 300 20 200 15 10 100 5 0 0 5 10 15 20 25 30 35 40 45 0 -40 50 -30 -20 -10 t1 0 10 20 30 t2 /  DBO /   Q                       &               >?    =     >?  D'G            >?    =     >?           >?    =        >?            >?    =                  2                       &   O "    !      A"   $ 5              A"         Q                                      Q   F"    F"  > DB?       &          ! !'            %         2  >$ D'?                     &                        : O       :    E PP PR RP PR+RP-RR PP-(PR+RP-RR) 500 400 300 200 100 0 0 20 40 60 80 100 φ ’n 120 140 160 180 /  DB'O !                 &       2               !     2        %        >00 0 0 ?                     :          $ D'          9                    &     )%             )% >$ D'C?                    DBB                                 #% $      +  BF                                      $               (      9     >   ?       $    &                   > $ BFD? (                                           0.02 NN 0.015 NP Aran 0.01 0.005 0 -0.005 -0.01 -0.015 -0.02 -60 -40 -20 0 o χ( ) 20 40 60 /  DBBO         &    )%     0    xn xq yq zq e’ q yn pn P zn φR θnq e SCATTERING PLANE REACTION PLANE LAB /  DBFO                    1    0      1   0  G !# 5   $   2                             /                                 ' > DBF?                           4                            $  F'FF            4             'O 0     ' 1    0 0  '   '   1    0 >D'H? >D'E?            $ FC             &          <   ,B DB-     8  4          <                 O     '  2"   ( 6   ' 2"     # & #  2"  2"   6 $ '$ %  2"  2"  ( %      6 # &  2"  2"  $  %  2"  2"  ' (    # $ %       2  6      &  2 '   6  2" (    G 6 >D'?  6  " 2 & ' (  6    6  "    6  "    2"                 6   <  ,EH-O   6       '       G 450 160 400 140 350 120 300 100 250 200 80 150 60 100 40 50 20 0 0 1 2 3 4 5 θ nq 6 7 8 9 0 10 -150 -100 -50 0 φR 50 100 150 /  DBCO 2         2"    > DBF? 2500 NN NP 1000 2000 800 1500 600 1000 400 500 200 0 -0.1 -0.05 0 0.05 0 -0.1 0.1 f -0.05 0 0.05 0.1 f /  DBDO               0                       '                     &                             $            C  ..         >  CDB? 5  $  D'                O   Æ )    * &   ..  &    &  G  '  .. ' '     6  2" (              4    6  2"    %   /                  $  6                  6  2"            /  DBC              2"     /  DBD           0                         0   G' γ∗ γ∗ n n p n (p) n p D D p p (n) FSI Born γ∗ p n p πο(π−) γ∗ n n p π D Δ D n p IC MEC /  DBHO  %      $        9  O     /+( O                           "A) O               () O                !# 4+   20 . ( 6    0 <  (   !   >0<(!?                          >/+(?        >"A)?       >()? > DBH? (                                    ! R   ,B-                                                  ># ? (              0  <  9  !           >$ ?                                                           $  FC & '  & ' %  & '  $ & ' #    C Æ . %         ! !       2  !   =        !      ! !   3      !        GB NP NN 6000 2500 5000 2000 4000 1500 3000 1000 2000 500 1000 0 -0.05 -0.04 -0.03 -0.02 -0.01 0 0.01 0 -0.05 -0.04 -0.03 -0.02 -0.01 0.02 0 0.01 0.02 ΔR p ΔR p /  DBEO 2    .      /+( "A)  () % > DBH? /     /  9              &              'D     ,DB-   .                         DBE              &          .         .        0 GF   " #  $ % !  ! *      #              D                                                           4  C          >&  ( ?     '                $  D'H    $  ..   C  /                  C     ) C          & C            C !          .          O Æ    Æ & C   C C >H'?                C                             +       $  D'B         C O  Æ Æ ) C     C C Æ     C   !           ) C        C GC Æ   11.84 / 5 χ 2 / ndf p0 -0.08271 ± 0.004397 p1 -6.73 ± 1.977 0.15 2.579 / 5 χ2 / ndf p0 -0.1148 ± 0.006697 p1 -8.082 ± 2.217 0.1 NN NP A 0.05 0 -0.05 -0.1 -0.15 -60 -40 -20 0 o χ( ) 20 40 /  H'O !                            60 >?  0> ?                 ::    "          )A  &  "( 5( ,EE-      $    0  ) C             H'     0   !                   C                        C           6                      ) C                      %          &                                             "J        >  CB?    B'              > CF?                                !  )    *  >$  F'FF?    *                         &     '      &  '                     Æ   GD C 0  B                                       Æ Æ # . .      3                    DD' /  HB  HF                          0   /               BD   0             /     &                       !                              &    $                   / 0         $                                         &                                              %                         %                     H'                                         HB           . .                 %      ,  !                          C                                                             O Æ '                %                 $  F'FF   GH 2 3.088 / 5 χ / ndf p0 -0.1313 ± 0.008717 p1 -9.442 ± 2.597 0.15 2 2.579 / 5 χ / ndf p0 -0.1148 ± 0.006697 p1 -8.082 ± 2.217 0.1 No Subtraction Subtraction A 0.05 0 -0.05 -0.1 -0.15 -60 -40 -20 0 o χ( ) 20 40 60 /  HBO )% >       &     ?  )% >       &    ?    !                 14.6 / 5 χ 2 / ndf p0 -0.08689 ± 0.004593 p1 -7.277 ± 2.085 0.15 11.84 / 5 χ 2 / ndf p0 -0.08271 ± 0.004397 p1 -6.73 ± 1.977 0.1 No Subtraction Subtraction A 0.05 0 -0.05 -0.1 -0.15 -60 -40 -20 0 o χ( ) 20 40 60 /  HFO )% > ?  )% > ?  0   !                 GE C Æ  )%                                      )%                                       )%                                       )%                                    SC        'B' SBD          'B' S'BD          'FBCC S      GEC 'BD          'BF BD         'BHH C         'FH 0 C   SC        FBHC SBD          FFB S'BD           FCH S       BEBEH 'BD          FCEF BD          FD'BC C          FHFDH   H'O                                   HB  HF )%        )%        Æ C 0                                            HBO 0                   Æ Æ  . .         &     G 1 Edep 12000 0.14 (a) 14000 (b) (c) 0.12 10000 12000 0.1 10000 8000 0.08 8000 6000 0.06 6000 4000 0.04 4000 2000 0.02 2000 0 0 0 0.02 0.04 0.06 0.08 1 0.1 0.12 0.14 0 Edep 0 5 10 15 20 25 30 35 40 / θn 0 5 10 15 20 / θn 25 30 35 40  /  HCO A           >*#?       >  ?                                   ) C    B          Q              =                               $  CD F 2                        &                      #           %        D7                  &                     >      ?      &            GG Edep(GeV) 180 0.14 200 (a) 160 (b) (c) 0.12 1 140 150 120 0.1 100 0.08 100 80 0.06 60 40 50 0.04 20 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0 5 10 15 20 25 30 (d) 400 10 15 20 25 30 35 40 o θ /n( ) 0.14 500 (e) (f) 0.12 1 300 300 5 θ/n( ) 400 500 0 0 40 o 1 Edep(GeV) 600 35 Edep(GeV) 0 0.02 0 0 0.1 0.08 0.06 200 200 0.04 100 100 0.02 0 0 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0 5 10 15 20 25 30 35 40 o 1 θ/n( ) Edep(GeV) 0 0 5 10 15 20 25 30 35 40 o θ /n( ) /  HDO   F   > ?       F >? 0       &              > ?                >?                >?                                                           HC /       & D *#                       &  & BD *#                                  !2)  2)   /        &                                                              $                           &                              &                 A                                                             ' Edep(GeV) 350 0.14 (a) 350 (b) 300 300 250 250 200 200 150 (c) 0.12 1 400 0.1 0.08 0.06 150 100 0.04 100 50 50 0.02 0 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0 5 10 15 20 25 30 35 0 0 40 5 10 15 20 25 30 o 1 35 40 o θ/n( ) Edep(GeV) θ /n( ) Edep(GeV) 0 0.14 (d) 1000 1000 (e) (f) 0.12 1 1200 800 0.1 800 600 0.08 600 0.06 400 400 0.04 200 200 0 0 0.02 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0 0 5 10 15 20 25 30 35 40 o 1 θ/n( ) Edep(GeV) 0 0 5 10 15 20 25 30 35 40 o θ /n( ) /  HHO !   HD                  #       (                                        /  HD          &                   >  D'?           B                          > ?                   > 0? (   HDO>?   E                                              =    ?          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