Effective Kbar N interaction based on chiral SU(3) dynamics

TL;DR

This paper derives an effective Kbar N interaction from chiral SU(3) dynamics, showing it is less attractive than previous phenomenological models, with implications for Kbar-nuclear systems.

Contribution

It provides a chiral SU(3)-based derivation of the Kbar N interaction and constructs an equivalent local potential, highlighting uncertainties and differences from phenomenological models.

Findings

The derived potential is less attractive than previous models.

The energy dependence of the potential affects predictions of bound states.

Uncertainties in chiral models influence the strength of the interaction.

Abstract

The effective Kbar N interaction based on chiral SU(3) coupled-channel dynamics is derived and its extrapolation below the Kbar N threshold is studied in detail. Starting from the coupled-channel scattering equations, we eliminate the channels other than Kbar N and obtain an effective interaction in the single Kbar N channel. An equivalent local potential in coordinate space is constructed such as to reproduce the full scattering amplitude of the chiral SU(3) coupled-channel framework. We discuss several realistic chiral SU(3)-based models in comparison to reach conclusions about the uncertainties involved. It turns out that, in the region relevant to the discussion of deeply bound Kbar-nuclear few-body systems, the resulting energy-dependent, equivalent local potential is substantially less attractive than the one suggested in previous purely phenomenological treatments.