Meson Production reaction on the N* resonance region
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Meson Production reaction on the N* resonance region
T. Sato(Osaka Univ.)
Dec 2007 KEK
Motivation
Dynamical model of meson production reaction
Results
summary
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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 **** **** ****
Nucleon resonances
“The status of the one- and two-star states found in KH80 and CMB80 fits is now doubtful” PDG
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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
High precision data of electromagnetic meson production reaction Jlab, Bonn, Spring8, Mainz
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photo meson production reaction
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Coupled-channel analysis of meson production reaction
differential cross section, polarization,..
amplitudes
Resonance parameters
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Neutrino reaction in the resonance region
H.Gallagher, nucl. Phys. Proc B112/Kitagaki et al. PRD34
Single pion productionPi-N invariant mass distribution
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One and Two pion production cross section
2-pi
1-pi
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Nuclear effects in the N* resonance region
A
N
M. Hirata et al.PRC66 (2002)
1pi
2pi
Fermi averageSpreding potential of N*,Delta pion distortion
1pi
2pi
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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
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Effective Hamiltonian of Meson-Baryon
energy independent interaction, derived using unitary transformation method
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solve coupled channel integral equation
Three body unitarity
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MAID
Single pion photoproduction
Our T-matrix
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K-matrix
Dynamical model
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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
Durand, Julia-Diaz, Lee, Saghai, Sato
Lee, Sibirtsev, Tsushima
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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
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Total cross section
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I=1/2
I=3/2
Re Im
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Pion photoproduction
Vary bare gN-N* amplitudes fitting data (total, differential cross section W<1.52GeV)
Coupled channel effects on differential cross section
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Polarization (beam asymmetry)
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Resonance parameters
Meson cloud effects on gNN* form factors
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Meson-cloud effects on resonance vertex
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r<R LQCDr>R Meson-Baryon reaction
Probe N* using meson-baryon
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SUMMARY
Sensitivity on N*symmetry: iso-spin
spin-parity
near threshold mesondynamical: higher Q2 region
non-resonant resonance
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