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Study of nucleon and $Δ$ resonances from a systematic analysis of $K^{*} Σ$ photoproduction

Jun Shi ^1,2,* and Bing-Song Zou ^3,4,5,6,†

¹State Key Laboratory of Nuclear Physics and Technology, Institute of Quantum Matter, South China Normal University, Guangzhou 510006, China
²Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter, Guangdong Provincial Key Laboratory of Nuclear Science, Guangzhou 510006, China
³Department of Physics, Tsinghua University, Beijing 100084, China
⁴CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
⁵School of Physics, University of Chinese Academy of Sciences (UCAS), Beijing 100049, China
⁶Southern Center for Nuclear-Science Theory (SCNT), Institute of Modern Physics, Chinese Academy of Sciences, Huizhou 516000, China

^*Contact author: jun.shi@scnu.edu.cn
^†Contact author: zoubs@mail.tsinghua.edu.cn

Phys. Rev. D 111, 114032 – Published 25 June, 2025

DOI: https://doi.org/10.1103/2fhp-7fpz

Abstract

A systematic analysis of the $K^{*} Σ$ photoproduction off proton is performed with all the available differential cross section data. We carry out a strategy different from the previous studies of these reactions, where, instead of fixing the parameters of the added resonances from PDG or pentaquark models, we add the resonance with a specific $J^{P}$ and leave its parameters to be determined from the experimental data. When adding only one resonance, the best result is to add a $N^{*} (3 / 2^{-})$ around 2097 MeV, which substantially reduces the $χ^{2}$ per degree of freedom to 1.35. There are two best solutions when adding two resonances, one is to add one $N^{*} (3 / 2^{-})$ and one $N^{*} (7 / 2^{-})$ , the other is to add one $N^{*} (3 / 2^{-})$ and one $Δ^{*} (7 / 2^{-})$ , leading the $χ^{2}$ per degree of freedom to be 1.10 and 1.09, respectively. The mass values of the $N^{*} (3 / 2^{-})$ in the two resonance solutions are both near 2070 MeV. Our solutions indicate that the $3 / 2^{-}$ nucleon resonance around 2080 MeV is strongly coupled with the $K^{*} Σ$ final state and support the molecular picture of $N (2080, 3 / 2^{-})$ .

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Phys. Rev. D 111, 114032– Published 25 June, 2025

Vol. 111, Iss. 11 — 1 June 2025

Received 10 April 2025
Accepted 2 June 2025

DOI: https://doi.org/10.1103/2fhp-7fpz

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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Study of nucleon and $Δ$ resonances from a systematic analysis of $K^{*} Σ$ photoproduction

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Study of nucleon and Δ resonances from a systematic analysis of K*Σ photoproduction

Abstract

Physics Subject Headings (PhySH)

Article Text

References (45)

Study of nucleon and $Δ$ resonances from a systematic analysis of $K^{*} Σ$ photoproduction