Polarized $pK^-$ scattering in Unitary Baryon Chiral Perturbation Theory

TL;DR

This paper models polarized pK- scattering from threshold to the Lambda(1520) peak using Unitary Baryon Chiral Perturbation Theory, incorporating various interaction channels and flavor-breaking effects, with detailed data fits.

Contribution

It introduces a comprehensive UBChPT approach to pK- scattering, including higher-order vertices and extensive data fitting beyond previous studies.

Findings

Successful fits to differential cross-section data

Inclusion of multiple exchange channels improves model accuracy

Enhanced understanding of meson-baryon interactions in this energy range

Abstract

We study $pK^-$ scattering in the energy range from threshold through the $\Lambda(1520)$ peak in UBChPT, taking into account $\mathcal{O}(q)$ vertices from meson-baryon contact interactions and $s$- and $u$-channel ground-state baryon exchange, $s$- and $u$-channel decuplet- and nonet-baryon exchange and $t$-channel vector-meson exchange, as well as $\mathcal{O}(q^2)$ flavor-breaking vertices. Detailed fits to data are presented, including a substantial body of differential cross-section data with meson momentum $q_\mathrm{lab} > 300$ MeV not considered in previous treatments.