Journal article

Publication year: 2016

Journal: Physical Review C

Volume number: 93

Issue number: 4

ISSN: 2469-9985

eISSN: 2469-9993

Open access status: Green

DOI Link: https://doi.org/10.1103/PhysRevC.93.045206

Publisher: American Physical Society

Abstract: 
The coupled-channels Lagrangian approach underlying the Giessen model (GiM) is extended to describe the pi N -> pi N, 2 pi N scattering in the resonance energy region. As a feasibility study we investigate single- and double-pion production up to the second resonance region. The 2pN production has been significantly improved by using the isobar approximation with sigma N and pi Delta (1232) in the intermediate state. The three-body unitarity is maintained up to an interference pattern between the isobar subchannels. The scattering amplitudes are obtained as a solution of the Bethe-Salpeter equation in the K-matrix approximation. As a first application we perform a partial-wave analysis of the pi N -> pi N, pi(0)pi(0) N reactions in the Roper resonance region. We obtain R-sigma N (1440) = 27(-9)(+4) % and R-pi Delta(1440) = 12(-3)(+5) % for the sigma N and pi Delta (1232) decay branching ratios of N*(1440), respectively. The extracted pi N inelasticities and reaction amplitudes are consistent with the results from other groups.

Harvard Citation style: Shklyar, V., Lenske, H. and Mosel, U. (2016) 2π production in the Giessen coupled-channels model, Physical Review C, 93(4), Article 045206. https://doi.org/10.1103/PhysRevC.93.045206

APA Citation style: Shklyar, V., Lenske, H., & Mosel, U. (2016). 2π production in the Giessen coupled-channels model. Physical Review C. 93(4), Article 045206. https://doi.org/10.1103/PhysRevC.93.045206