Separable potential model for $K^{-}N$ interactions at low energies

Details Separable potential model for $K^{-}N$ interactions at low energies Separable potential model for $K^{-}N$ interactions at low energies

2009-10-09

arxiv.org/abs/0910.1822v2

Eur.Phys.J.A43:191-208,2010

Physics

Nuclear Physics

Nuclear Theory

31 pages, v2 - added corrections to make it compatible with the published version

Scientific paper

10.1140/epja/i2010-10904-4

The effective separable meson-baryon potentials are constructed to match the equivalent chiral amplitudes up to the second order in external meson momenta. We fit the model parameters (low energy constants) to the threshold and low energy $K^{-}p$ data. In the process, the $K^{-}$-proton bound state problem is solved exactly in the momentum space and the 1s level characteristics of the kaonic hydrogen are computed simultaneously with the available low energy $K^{-}p$ cross sections. The model is also used to describe the $\pi \Sigma$ mass spectrum and the energy dependence of the $K^{-}n$ amplitude.

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