Roper resonances in chiral quark models

Details Roper resonances in chiral quark models Roper resonances in chiral quark models

2007-08-28

arxiv.org/abs/0708.3759v2

Eur.Phys.J.A38:271-286,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages, 7 figures

Scientific paper

10.1140/epja/i2008-10677-3

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.

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