Heidelberg 2015 – scientific programme

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HK: Fachverband Physik der Hadronen und Kerne

HK 56: Hadron Structure and Spectroscopy 11

HK 56.7: Talk

Thursday, March 26, 2015, 16:15–16:30, T/SR25

Coupled-channel approach for π N→ π N, 2π N transitions — •Vitaly Shklyar, Horst Lenske und Ulrich Mosel — Institut für Theoretische Physik, Justus-Liebig-Universität Giessen, Heinrich-Buff-Ring 16, D-35392 Giessen

A unitary coupled-channel Giessen model (GiM) is developed for study pion-induced reactions in the nucleon resonance energy region. The two-pion production is treated in the isobar approximation with the σ N, πΔ etc. in the intermediate channel. As a first application of the developed approach we perform the partial wave analysis of the π⁻ p → π⁰ π⁰ p experimental data in the first resonance energy region. The π N elastic scattering amplitudes are constrained by the single energy solutions from GWU (SAID) group. We obtain R_{σ N}(1440)=27₋₉⁺⁴ % and R_{σ N}(1440)=12₋₃⁺⁵ % for the σ N and π Δ(1232) decay branching ratios of N^*(1440) respectively. The extracted π N inelasticities and reaction amplitudes are consistent with the results from other groups. The work is supported by Transregio SFB/TR16, project B.7.