Separable potential model for meson-baryon interaction beyond the S-wave

Abstract

A model for low-energy meson-baryon interaction in the strange sector is presented. The interaction is described in terms of separable potentials with multiple partial waves considered. A general solution of Lippmann-Schwinger equation for the scattering of spin zero and spin one-half particles is derived. Next, the general framework is applied to the $\bar{K}N$ sector in a simple model with only the S- and P-waves taken into account. The separable potential is designed to match the chiral perturbation theory at lowest nontrivial order. It is shown that although a simple model with three free parameters works well for the S-wave, it fails to reproduce the P-wave features of kaon-nucleon physics. Most importantly, the P-wave interaction is too weak to express a resonant behavior that could be identified as $\Sigma (1385)$ resonance.

References in corpus (14)

• Chiral Dynamics in Nucleons and Nuclei
• Chiral dynamics in the presence of bound states: kaon-nucleon interactions revisited
• Chiral Dynamics and the Low Energy Kaon-Nucleon Interaction
• Nuclear kaon dynamics
• Chiral dynamics of the S11(1535) and S11(1650) resonances revisited
• Kaonic hydrogen X-ray measurement in SIDDHARTA
• Chirally motivated $\bar{K}N$ amplitudes for in-medium applications
• K^- nuclear potentials from in-medium chirally motivated models
• Chiral SU(3) Dynamics and Antikaon-Nuclear quasibound States
• Separable potential model for $K^{-}N$ interactions at low energies
• Calculations of $K^{-}$ nuclear quasi-bound states based on chiral meson-baryon amplitudes
• Kaonic hydrogen versus the $K^{-}p$ low energy data
• Constraints on the threshold K- nuclear potential from FINUDA (stopped K-, pi-) hypernuclear spectra
• Lambda-hypernuclear production in stopped (K-,pion) reactions reexamined

Cited by in corpus (2)

• Faddeev-Chiral Unitary Approach to the $K^{-}d$ scattering length
• The inelastic vs. total nucleon-nucleon cross section at large $N_c$