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

2. 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

3. 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

4. photo meson production reaction

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

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

8. One and Two pion production cross section

9. 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)

10. 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)
arXiv

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

12. solve coupled channel integral equation
Three body unitarity

13. Single pion photoproduction
Our T-matrix
MAID

14. K-matrix
Dynamical model

15. 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

16. 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

17. Total cross section

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

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

21. Polarization (beam asymmetry)

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

23. Meson-cloud effects on resonance vertex

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

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