Effective Kbar N interaction with strong pi Sigma dynamics constrained by chiral SU(3) symmetry

TL;DR

This paper derives an effective Kbar N interaction from chiral SU(3) dynamics, highlighting the significant role of pi Sigma channels and their impact on the Lambda(1405) resonance structure.

Contribution

It introduces a single-channel effective interaction constrained by chiral symmetry, incorporating strong pi Sigma dynamics, differing from purely phenomenological models.

Findings

The effective potential is less attractive than phenomenological models.

Strong pi Sigma dynamics influence the Kbar N interaction.

Chiral symmetry constrains the interaction structure.

Abstract

We derive a single-channel effective Kbar N interaction from chiral SU(3) coupled-channel dynamics, emphasizing the important role of the pi Sigma channel and the structure of the Lambda(1405) resonance. The chiral low energy theorem requires strongly attractive interaction not only in the Kbar N channel but also in the pi Sigma channel. As a consequence of the strong pi Sigma dynamics, the equivalent potential in single Kbar N channel turns out to be less attractive than the one used in a purely phenomenological approach.