Eur. Phys. J. A (2010) 43: 191-208
https://doi.org/10.1140/epja/i2010-10904-4

Regular Article - Theoretical Physics

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

¹ Nuclear Physics Institute, 250 68, Řež, Czech Republic
² Institute of Experimental and Applied Physics, Czech Technical University, Horská 3a/22, 128 00, Praha 2, Czech Republic

^* e-mail: cieply@ujf.cas.cz

Received: 9 October 2009
Revised: 27 November 2009
Accepted: 28 November 2009
Published online: 9 January 2010

Abstract

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 mass spectrum and the energy dependence of the K ^- n amplitude.