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Production of $Ξ (1530)$ in the $K^{-} p$ scattering process

Quan-Yun Guo ^1,*, Jing Liu^2,3,†, Peiwen Wu^1,‡, and Dian-Yong Chen ^1,4,§

¹School of Physics, Southeast University, Nanjing 210094, People's Republic of China
²School of Physics and Mechanical Electrical and Engineering, Hubei University of Education, Wuhan 430205, People's Republic of China
³Institute of Astronomy and High Energy Physics, Hubei University of Education, Wuhan 430205, People's Republic of China
⁴Lanzhou Center for Theoretical Physics, Lanzhou University, Lanzhou 730000, People's Republic of China

^*Contact author: guoquanyun@seu.edu.cn
^†Contact author: liujing@hue.edu.cn
^‡Contact author: pwwu@seu.edu.cn
^§Contact author: chendy@seu.edu.cn

Phys. Rev. C 112, 065201 – Published 2 December, 2025

DOI: https://doi.org/10.1103/g25d-69nl

Abstract

In the present work, we examine the production of $Ξ (1530)$ in the $K^{-} p \to K^{+} Ξ {(1530)}^{-}$ and $K^{-} p \to K^{0} Ξ {(1530)}^{0}$ reactions utilizing an effective Lagrangian approach. To accurately fit the cross sections for both processes, we include nine $Λ$ and $Σ$ hyperons and their resonances in both $s$ - and $u$ -channel processes. Considering the discrepancy of the measured cross sections for $K^{-} p \to K^{+} Ξ {(1530)}^{-}$ within the range $\sqrt{s} = [2.087, 2.168] GeV$ , 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 $Σ (1193)$ intermediate process is dominant. Furthermore, we predict different cross sections for $K^{-} p \to K^{+} Ξ {(1530)}^{-}$ and $K^{-} p \to K^{0} Ξ {(1530)}^{0}$ at several representative center-of-mass energies, providing testable predictions for forthcoming J-PARC experiments.

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Phys. Rev. C 112, 065201– Published 2 December, 2025

Vol. 112, Iss. 6 — December 2025

Received 16 September 2025
Accepted 14 October 2025

DOI: https://doi.org/10.1103/g25d-69nl

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP³.

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Production of $Ξ (1530)$ in the $K^{-} p$ scattering process

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Production of $Ξ (1530)$ in the $K^{-} p$ scattering process