2π production in the Giessen coupled-channels model

V. Shklyar, H. Lenske, and U. Mosel
Phys. Rev. C 93, 045206 – Published 13 April 2016

Abstract

The coupled-channels Lagrangian approach underlying the Giessen model (GiM) is extended to describe the πNπN,2πN scattering in the resonance energy region. As a feasibility study we investigate single- and double-pion production up to the second resonance region. The 2πN production has been significantly improved by using the isobar approximation with σN and πΔ(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 πNπN,π0π0N reactions in the Roper resonance region. We obtain RσN(1440)=279+4% and RπΔ(1440)=123+5% for the σN and πΔ(1232) decay branching ratios of N*(1440), respectively. The extracted πN inelasticities and reaction amplitudes are consistent with the results from other groups.

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  • Received 28 September 2014
  • Revised 1 December 2015

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

©2016 American Physical Society

Physics Subject Headings (PhySH)

Nuclear PhysicsParticles & Fields

Authors & Affiliations

V. Shklyar*, H. Lenske, and U. Mosel

  • Institut für Theoretische Physik, Universität Giessen, D-35392 Giessen, Germany

  • *shklyar@theo.physik.uni-giessen.de

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Issue

Vol. 93, Iss. 4 — April 2016

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