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Analysis of $Σ^{*}$ via isospin selective reaction $K_{L} p \to π^{+} Σ^{0}$

Dan Guo ^1,*, Jun Shi ^2,3,†, Igor Strakovsky ⁴, and Bing-Song Zou ^5,6,7

¹School of Physics and State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China
²State Key Laboratory of Nuclear Physics and Technology, Institute of Quantum Matter, South China Normal University, Guangzhou 510006, China
³Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter, Guangdong Provincial Key Laboratory of Nuclear Science, Guangzhou 510006, China
⁴Department of Physics, Institute for Nuclear Studies, The George Washington University, Washington, DC 20052, USA
⁵Department of Physics, Tsinghua University, Beijing 100084, China
⁶Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
⁷Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences, Huizhou 516000, China

^*Contact author: guod13@pku.edu.cn
^†Contact author: jun.shi@scnu.edu.cn

Phys. Rev. D 112, 034006 – Published 7 August, 2025

DOI: https://doi.org/10.1103/bm4l-4mmv

Abstract

The isospin-selective reaction $K_{L} p \to π^{+} Σ^{0}$ provides a clean probe for investigating $I = 1 Σ^{*}$ resonances. In this work, we perform an analysis of this reaction using an effective Lagrangian approach for the first time, incorporating the well-established $Σ (1189) 1 / 2^{+}$ , $Σ (1385) 3 / 2^{+}$ , $Σ (1670) 3 / 2^{-}$ , and $Σ (1775) 5 / 2^{-}$ states, while also exploring contributions from other unestablished states. By fitting the available differential cross-section and recoil polarization data, adhering to partial-wave phase conventions same as the Particle Data Group, we find that besides the established resonances, contributions from $Σ (1660) 1 / 2^{+}$ , $Σ (1580) 3 / 2^{-}$ , and a $Σ^{*} (1 / 2^{-})$ improve the description. Notably, a $Σ^{*} (1 / 2^{-})$ resonance with mass around 1.54 GeV, consistent with $Σ (1620) 1 / 2^{-}$ , is found to be essential for describing the data in this channel, a stronger indication than found in previous analyses focusing on $π Λ$ final states. While providing complementary support for $Σ (1660) 1 / 2^{+}$ and $Σ (1580) 3 / 2^{-}$ , our results highlight the importance of the $Σ (1620) 1 / 2^{-}$ region in $K_{L} p \to π^{+} Σ^{0}$ . Future high-precision measurements are needed to solidify these findings and further constrain the $Σ^{*}$ spectrum.

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Phys. Rev. D 112, 034006– Published 7 August, 2025

Vol. 112, Iss. 3 — 1 August 2025

Received 1 May 2025
Accepted 16 July 2025

DOI: https://doi.org/10.1103/bm4l-4mmv

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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Analysis of $Σ^{*}$ via isospin selective reaction $K_{L} p \to π^{+} Σ^{0}$

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Analysis of Σ* via isospin selective reaction KLp→π+Σ0

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References (52)

Analysis of $Σ^{*}$ via isospin selective reaction $K_{L} p \to π^{+} Σ^{0}$