$S=-1$ meson-baryon interaction and the role of isospin filtering processes

TL;DR

This paper models the $S=-1$ meson-baryon interaction using chiral SU(3) theory up to NLO, constrained by experimental data, and predicts new isospin filtering processes to test the model at Jlab and LHCb.

Contribution

It introduces a comprehensive chiral SU(3) model with NLO terms for $S=-1$ interactions, constrained by diverse data, and predicts novel isospin filtering reactions for experimental validation.

Findings

Model fits well with experimental data including NLO effects.

Additional cross sections improve the stability of low-energy constants.

Predictions for new reactions at Jlab and LHCb can test the model.

Abstract

A study of the meson-baryon interaction in the $S=-1$ sector is performed, employing a chiral SU(3) lagrangian up to next-to-leading order (NLO) and implementing unitarization in coupled channels. The model is constrained by a large set of experimental data, paying a especial attention to processes that are sensitive to the NLO contributions, such as the $K^- p\to K^+\Xi^-, K^0\Xi^0$ reactions. The consideration of additional cross sections in single isospin channels, $K^-p\to \eta\Lambda, \eta\Sigma$, has been found to provide more homogeneous and reliable values of the low-energy constants, the stability of which has also been tested by the inclusion of explicit resonant terms. Predictions for new isospin filtering processes, like the $I=1$ $K^0_L p \to K^+ \Xi^0$ reaction that could be measured at the proposed secondary $K^0_L$ beam at Jlab, or the weak decay of the $\Lambda_b$ into a $J/\Psi$ and different meson-baryon pairs in $I=0$, available at LHCb, are presented. The measurement of such reactions would put valuable constraints on the chiral models describing the $S=-1$ meson-baryon interaction.