2011/9/221 Koji Miwa Tohoku Univ. For the J-PARC E40 Collaboration Sigma proton scattering experiment E40

Collaborator list 2011/9/222 F. Hiruma, R. Honda, K. Hosomi, H. Kanda, T. Koike, Y. Matsumoto, K. Miwa, A. Sasaki, K. Sugihara, H. Tamura, M. Ukai, K. Yagi, T.O. Yamamoto, Y. Yonemoto Tohoku University, Japan S. Hasegawa, K. Imai, Y. Kondo, H. Sako, S. Sato, K. Shirotori Japan Atomic Energy Agency (JAEA), Japan M. Ieiri, S. Ishimoto, I. Nakamura, M. Naruki, S. Suzuki, H. Takahashi, T. Takahashi, M. Tanaka, K. Yoshimura High Energy Accelerator Research Organization (KEK), Japan T.N. Takahashi RIKEN, Japan S. Adachi, Y. Ichikawa, M. Moritsu, H. Sugimura Kyoto University, Japan K. Tanida Seoul National University, Korea J.K. Ahn, B.H. Choi Pusan National University, Korea S. Callier, C.d.L. Taille, L. Raux IN2P3/LAL Orsay, France

E40 : Measurement of d  /d  of  p scatterings Physics motivations Verification of Quark Pauli repulsive force in the   p channel Systematic study of the  N interaction by separating isospin channel Measurement of d  /d  Aim to detect 10,000 events   p elastic scattering   p elastic scattering   p   n inelastic scattering 2011/9/223 Kinematical identification of  p scattering Using LH2 target and surrounding detector K1.8 beam line  beam identification : SKS + K18 beamline spectrometer High intensity  beam : 2×10 7 / spill (spill = 2 sec) K1.8 beam line  beam identification : SKS + K18 beamline spectrometer High intensity  beam : 2×10 7 / spill (spill = 2 sec)

Contents Physics goals Determine the phase shift in quark Pauli repulsive channel in   p channel 5 degree precision Systematic study of  N interaction Over a wide scattering angle Experimental setup Detector system Multi-channel readout board (SPIROC board) Beamline tracker for high rate beam 2011/9/224 Matsumoto’s talk

Baryon-Baryon Interaction aaa  + p channel Large repulsive force ！  + p channel Large repulsive force ！ Flavor singlet ch ( ,  N) Attractive core ！？ Flavor singlet ch ( ,  N) Attractive core ！？ Investigate interaction with radial dependence  Scattering experiment Pauli effect in quark level Color magnetic interaction (One gluon exchange) 52011/9/22

6 Baryon Baryon interaction by Lattice QCD 6 independent forces in flavor SU(3) symmetry (27) (10*) (8s) (10) (8a) (1) Lattice QCD, T. Inoue et al. Prog. Theor. Phys. 124 (2010) 4 Large Core Weak or Attractive Core  + p (S=1, T=3/2)   p (S=0, T=1/2)   p (T=0) Flavor singlet (H-Channel)

 + p scattering and Pauli repulsive force 2011/9/227

 + p scattering and Pauli repulsive force The strength of Pauli repulsive force appears in phase shift in 3 S 1 channel 2011/9/228 (27) Same with NN(I=1,S=0) fss2  44 o Phase shift of   p  3 S 1 channel) w/ Quark picture

 + p scattering and Pauli repulsive force The strength of Pauli repulsive force appears in phase shift in 3 S 1 channel 2011/9/229 (27) Same with NN(I=1,S=0) fss2  44 o NSC97f  o Phase shift of   p  3 S 1 channel) w/o Quark picture w/ Quark picture

  p d  /d  p = 550 MeV/c   + p scattering and Pauli repulsive force The strength of Pauli repulsive force appears in phase shift in 3 S 1 channel 2011/9/2210 (27) Same with NN(I=1,S=0) fss2   NSC97f  o ESC08  o d  /d  is quite sensitive to 3 S 1 phase shift Phase shift of   p  3 S 1 channel) We will show phase shift can be obtained from d  /d  measurement model independently We will show phase shift can be obtained from d  /d  measurement model independently

2011/9/2211 Phase shift  and d  /d  (90 o ) Importance of d  /d  (  =90 o ) measurement Contribution from S-wave Behavior of S-wave is sensitive to the inner part of interaction P l (0) = 0 for l=1,3,…. d  /d  (90 o )Phase shift |  3S1 | How about 1 S 0 contribution ? How about the contribution of D wave ?   p channel |  | of 3 S 1 (Pauli forbidden) |  | of 3 S 1 (Pauli forbidden) 1 S 0 channel 3 S 1 channel

Relation between d  /d  (90 o ) and each components -- check by theoretical calculation /9/2212 Y. Fujiwara et al. Prog. Part. Nucl. Phys. 58(2007) 439 (27) Same with NN(I=1,S=0) Momentum (GeV/c) Phase shift  (degree) d  /d  (mb/sr) Phase shift d  /d  (90 o ) by fss2  of pp scattering (Measured !)  of   p scattering (Reliable !)  =0 (from pp channel)

Can we obtain phase shift in Pauli forbidden channel ? -- check by theoretical calculation /9/2213 Y. Fujiwara et al. Prog. Part. Nucl. Phys. 58(2007) 439 (27) Same with NN(I=1,S=0) Momentum (GeV/c) Phase shift  (degree) d  /d  (mb/sr) Phase shift d  /d  (90 o ) by fss2  of pp scattering (Measured !)  of   p scattering (Reliable !)  =0 (from pp channel) 1 S 0 negligibly small

Can we obtain phase shift in Pauli forbidden channel ? -- check by theoretical calculation /9/2214 Y. Fujiwara et al. Prog. Part. Nucl. Phys. 58(2007) 439 (27) Same with NN(I=1,S=0) Momentum (GeV/c) Phase shift  (degree) d  /d  (mb/sr) Phase shift d  /d  (90 o ) by fss2  of pp scattering (Measured !)  of   p scattering (Reliable !)  =0 (from pp channel) 1 S 0 negligibly small 3 S 1 75% of d  /d 

Can we obtain phase shift in Pauli forbidden channel ? -- check by theoretical calculation /9/2215 Y. Fujiwara et al. Prog. Part. Nucl. Phys. 58(2007) 439 (27) Same with NN(I=1,S=0) Momentum (GeV/c) Phase shift  (degree) d  /d  (mb/sr) Phase shift d  /d  (90 o ) by fss2  of pp scattering (Measured !)  of   p scattering (Reliable !)  =0 (from pp channel) 1 S 0 negligibly small 3 S 1 75% of d  /d  d  /d  (90 o ) is dominated by 3 S 1 contribution

Constraint on  3S1 from d  /d  (90 o ) Estimation of dependence of  3S1 for d  /d  (90 o ) Large dependence of  3S1 is expected 2011/9/2216 Native estimation Constant for  3S1 3 S 1 contribution Calculation from fss2 This relation is model independent

Constraint on  3S1 from d  /d  (90 o ) Estimation of dependence of  3S1 for d  /d  (90 o ) Large dependence of  3S1 is expected 2011/9/2217 Native estimation Constant for  3S1 The d  /d  (90 o ) for each models can be understood from  3S1 The d  /d  (90 o ) for each models can be understood from  3S1 Not related to short range region Relation between d  /d  (90 o ) and  3S1 is model independent Relation between d  /d  (90 o ) and  3S1 is model independent

Constraint on  3S1 from d  /d  (90 o ) Estimation of dependence of  3S1 for d  /d  (90 o ) Large dependence of  3S1 is expected 2011/9/2218 Native estimation Constant for  3S1 The d  /d  (90 o ) for each models can be understood from  3S1 The d  /d  (90 o ) for each models can be understood from  3S1 Relation between d  /d  (90 o ) and  3S1 is model independent Relation between d  /d  (90 o ) and  3S1 is model independent

Phase shift of 3 S 1 channel Energy dependence of  3S1 from d  /d  (90 o ) in wide momentum range. 2011/9/2219 Most direct measurement to determine the strength of Quark Pauli repulsive force Most direct measurement to determine the strength of Quark Pauli repulsive force d  /d    p scattering 0.4<p(GeV/c)< <p(GeV/c)< <p(GeV/c)<0.7    beam momentum (MeV/c) Phase shift  3S1 (degree)

SYSTEMATIC STUDY OF  N INTERACTION 2011/9/2220

Systematic study of  N interaction Unique spin-isospin dependence in the  N interaction 2011/9/2221  nuclear potential Repulsive Attractive Most updated theories Limited data to  N interaction  -Nuclear data 4  He hypernucleus Still “qualitative”

Systematic study of  N interaction In  N interaction, there are sizable differences. 2011/9/2222 I=1/2I=3/2   p d  /d  (p = 550 MeV/c)   p d  /d  (p = 500 MeV/c)   p   n d  /d  (p = 500 MeV/c) Study for separated isospin channel Data for wide scattering angle Whole picture of interaction w/ higher wave (meson exchange region)

Systematic study of  N interaction 2011/9/2223 We will measure the angular dependence of d  /d  with 0.2 mb/sr precision.   p d  /d  (p = 550 MeV/c)   p d  /d  (p = 500 MeV/c)   p   n d  /d  (p = 500 MeV/c) Enough acceptance to test framework higher wave contribution long range region (meson picture)

EXPERIMENT 2011/9/2224

2011/9/2225 Experimental setup at K1.8 beamline  beam spectrometer ---  beam part ---   p     reaction K1.8 spectrometer SKS spectrometer  p scattering detector ---  p scattering part ---  p  ”p” n”  ”  beam tagging  p = 6.1 MeV/c (  )  = 0.37 deg (  )  beam analysis  p/p ~ K + analysis  p/p ~  beam momentum  beam track length Detection of proton Identification of  p scattering

2011/9/2226 Experimental setup at K1.8 beamline Scattered proton detector  beam tagging  p = 6.1 MeV/c (  )  = 0.37 deg (  )  beam analysis  p/p ~ K + analysis  p/p ~ Beamline fiber tracker

Summary  p scattering experiment will be performed at K1.8 beamline. Determine the phase shift in quark Pauli repulsive channel in   p scattering d  /d  (90 o ) is directly related to the phase shift of Pauli forbidden channel By measuring d  /d  (90 o ) with better than 10% error, we will determine the phase shift within 5 o precision Systematic study of  N interaction Unique spin-isospin in  N interaction. Systematic scattering data   p (I=3/2),   p   n (I=1/2),   p (I=3/2, 1/2) Measure d  /d  with 0.2 mb/sr precision for each angle and test theoretical models. 2011/9/2227