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Possible $Σ^{}$ or $Λ^{}$ resonance with $J^{P} = 3 / 2^{-}$ in $K^{-} p \to K Ξ$ scattering

Zheng-Li Luo ^1,*, Jia-Jun Wu ^2,†, and Bing-Song Zou ^3,‡

¹School of Physics, Peking University, Beijing 100871, China
²School of Physical Sciences, University of Chinese Academy of Sciences, Beijing 100049, China
³Department of Physics and Center for High Energy Physics, Tsinghua University, Beijing 100084, China

^*Contact author: luozhengli@stu.pku.edu.cn
^†Contact author: wujiajun@ucas.ac.cn
^‡Contact author: zoubs@mail.tsinghua.edu.cn

Phys. Rev. D 114, 014062 – Published 27 July, 2026

DOI: https://doi.org/10.1103/phqd-wb86

Abstract

We analyze the $K^{-} p \to K^{+} Ξ^{-}$ and $K^{-} p \to K^{0} Ξ^{0}$ processes in the energy region $1.8 < \sqrt{s} < 2.8 GeV$ within an effective Lagrangian approach. The $Λ (1800)$ and $Σ (2250)$ resonances, along with the ground states $Σ$ and $Λ$ , are included. Additionally, a possible $J^{P} = 3 / 2^{-} Σ^{*}$ or $Λ^{*}$ resonance with a mass around 1.9 GeV and a width of approximately 200 MeV is introduced to describe the structure at 2.0 GeV in the total cross section and reproducing the threshold behavior. The two possible solutions corresponding to $Σ^{*} (3 / 2^{-})$ and $Λ^{*} (3 / 2^{-})$ cannot be distinguished by the existing data. Predictions for the polarization of the final-state $Ξ$ and the cross section of $K^{-} n \to K^{0} Ξ^{-}$ are compared with the experimental data, we find that the results of solution-II with $Λ^{*} (3 / 2^{-})$ are much better. We also discuss the possible interpretations of the introduced $3 / 2^{-}$ hyperon as a pentaquark candidate, e.g., an $S$ -wave $K Ξ (1530)$ hadronic molecule. However, since the polarization data suffer from rather large uncertainties, more data inputs are needed in future experiments, for example, J-PARC, HIAF, and JLab.

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Phys. Rev. D 114, 014062– Published 27 July, 2026

Vol. 114, Iss. 1 — 1 July 2026

Received 26 May 2026
Accepted 30 June 2026

DOI: https://doi.org/10.1103/phqd-wb86

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.

Published by the American Physical Society

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Possible $Σ^{}$ or $Λ^{}$ resonance with $J^{P} = 3 / 2^{-}$ in $K^{-} p \to K Ξ$ scattering

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Possible Σ* or Λ* resonance with JP=3/2− in K−p→KΞ scattering

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References (46)

Possible $Σ^{}$ or $Λ^{}$ resonance with $J^{P} = 3 / 2^{-}$ in $K^{-} p \to K Ξ$ scattering