Meson Production reaction on the N* resonance region

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Presentation transcript:

Meson Production reaction on the N* resonance region T. Sato(Osaka Univ.) Motivation Dynamical model of meson production reaction Results summary Dec 2007 KEK

Nucleon resonances Particle LIJ Particle LIJ N(1440) P11 **** **** *** D(1232) P33 **** **** *** N(1520) D13 **** **** **** D(1600) P33 *** *** ** N(1535) S11 **** **** *** D(1620) S31 **** **** *** N(1650) S11 **** **** *** D(1700) D33 **** **** *** N(1675) D15 **** **** **** D(1750) P31 * * - N(1680) F15 **** **** **** D(1900) S31 ** ** * N(1700) D13 ** *** ** D(1905) F35 **** **** * N(1710) P11 *** *** *** D(1910) P31 *** *** * N(1720) P13 **** **** ** D(1920) P33 *** *** * N(1900) P13 ** ** - D(1930) D35 *** *** ** N(1990) F17 ** ** * D(1940) D33 * * - N(2000) F15 ** ** - D(1950) F37 **** **** **** “The status of the one- and two-star states found in KH80 and CMB80 fits is now doubtful” PDG

Objective of our study : High precision data of electromagnetic meson production reaction Jlab, Bonn, Spring8, Mainz Objective of our study : Extract N* and Delta properties from meson production reaction Interpret resonance parameters W<1.7GeV structure of ‘established’ resonances N(1535), N(1440) W>1.7GeV establish /discover nucleon resonances

photo meson production reaction

Coupled-channel analysis of meson production reaction differential cross section, polarization,.. amplitudes Resonance parameters

Neutrino reaction in the resonance region Single pion production Pi-N invariant mass distribution H.Gallagher, nucl. Phys. Proc B112/Kitagaki et al. PRD34

One and Two pion production cross section

Nuclear effects in the N* resonance region 1pi 1pi N 2pi 2pi Spreding potential of N*,Delta pion distortion Fermi average M. Hirata et al.PRC66 (2002)

Dynamical model of meson production reaction B. Julia-Diaz, T.-S. H. Lee, A. Matsuyama, L.C. Smith, T. Sato 　　　　　　　　Phys. Rep. 439 (2007) 193 Phys. Rev. C76 (2007) 065201 arXiv 0712.2283

Effective Hamiltonian of Meson-Baryon energy independent interaction, derived using unitary transformation method

solve coupled channel integral equation Three body unitarity

Single pion photoproduction Our T-matrix MAID

K-matrix Dynamical model

Status on the analysis of meson production reaction Julia-Diaz, Lee, Matsuyama, Sato Julia-Diaz, Lee, Matsuyama, Smith, Sato Julia-Diaz, Kamano Lee, Matsuyama, Sato Paris, Lee, Sato Lee, Sibirtsev, Tsushima Durand, Julia-Diaz, Lee, Saghai, Sato

Pion nucleon elastic scattering Pion-nucleon scattering W<2GeV, S,P,D,F waves One N*( two N* for P33,P11,S11,D13) Coupling constants, form factors  fitting SAID of GWU/VPI Refine parameters by comparing cross section data

Total cross section

I=1/2 Re Im I=3/2

Pion photoproduction Vary bare gN-N* amplitudes fitting data (total, differential cross section W<1.52GeV) Coupled channel effects on differential cross section

Polarization (beam asymmetry)

Resonance parameters Meson cloud effects on gNN* form factors

Meson-cloud effects on resonance vertex

Probe N* using meson-baryon r<R LQCD r>R Meson-Baryon reaction

SUMMARY Sensitivity on N* symmetry: iso-spin spin-parity near threshold meson dynamical: higher Q2 region non-resonant resonance