Production of $\Xi(1530)$ in the $K^- p$ scattering process

TL;DR

This study models the production of $ ext{Xi}(1530)$ hyperons in $K^- p$ scattering using an effective Lagrangian approach, fitting experimental data with two strategies and predicting cross sections for future experiments.

Contribution

It introduces a comprehensive effective Lagrangian model including multiple hyperon resonances and compares two fitting strategies to better match experimental cross sections.

Findings

Model A provides a better fit to experimental data than Model B.

The $ ext{Sigma}(1193)$ intermediate state dominates the cross section.

Predicted cross sections at various energies offer testable predictions for future experiments.

Abstract

In the present work, we examine the production of $\Xi(1530)$ in the $K^- p \to K^{+} \Xi(1530)^{-}$ and $K^- p \to K^{0} \Xi(1530)^{0}$ reactions utilizing an effective Lagrangian approach. To accurately fit the cross sections for both processes, we include nine $\Lambda$ and $\Sigma$ hyperons and their resonances in both $s$- and $u$-channel processes. Considering the discrepancy of the measured cross sections for $K^- p \to K^+ \Xi(1530)^-$ within the range $\sqrt{s}=[2.087, 2.168]\ \mathrm{GeV}$, we employ two distinct fitting strategies: a uniform weighting scheme (model A) and a different weighting approach (model B). A comparative analysis suggests that model A yields a superior global agreement with experimental data compared to model B. Beyond fitting the cross sections, we also estimate the individual contributions from various intermediate states. Our results reveal that the cross section arising from the $\Sigma(1193)$ intermediate process is dominant. Furthermore, we predict different cross sections for $K^- p\to K^+\Xi(1530)^-$ and $K^- p\to K^0\Xi(1530)^0$ at several representative center-of-mass energies, providing testable predictions for forthcoming J-PARC experiments.