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The European Physical Journal A

, Volume 38, Issue 3, pp 271–286 | Cite as

Roper resonances in chiral quark models

  • B. GolliEmail author
  • S. Širca
Regular Article - Theoretical Physics

Abstract

We derive a method to calculate the multi-channel K -matrix applicable to a broad class of models in which mesons linearly couple to the quark core. The method is used to calculate pion scattering amplitudes in the energy region of low-lying P11 and P33 resonances. A good agreement with experimental data is achieved if in addition to the elastic channel we include the \( \pi\) \( \Delta\) and \( \sigma\) N ( \( \sigma\) \( \Delta\)channels where the \( \sigma\) -meson models the correlated two-pion decay. We solve the integral equation for the K -matrix in the approximation of separable kernels; it yields a sizable increase of the widths of the \( \Delta\)(1232) and the N(1440) resonances compared to the bare quark values.

PACS

11.80.Gw Multichannel scattering 12.39.Ba Bag model 14.20.Gk Baryon resonances with S = 0 

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Copyright information

© SIF, Springer-Verlag Berlin Heidelberg 2008

Authors and Affiliations

  1. 1.Faculty of EducationUniversity of Ljubljana and J. Stefan InstituteLjubljanaSlovenia
  2. 2.Faculty of Mathematics and PhysicsUniversity of Ljubljana and J. Stefan InstituteLjubljanaSlovenia

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