Analysis of the hidden-charm pentaquark states based on magnetic moment and transition magnetic moment

Fei Guo; Hao-Song Li

doi:10.1140/epjc/s10052-024-12699-5

2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 392
https://doi.org/10.1140/epjc/s10052-024-12699-5

Regular Article - Theoretical Physics

Analysis of the hidden-charm pentaquark states based on magnetic moment and transition magnetic moment

Fei Guo¹ and Hao-Song Li¹^,2^,3^,4^b

¹ School of Physics, Northwest University, 710127, Xian, China
² Institute of Modern Physics, Northwest University, 710127, Xian, China
³ Shaanxi Key Laboratory for Theoretical Physics Frontiers, 710127, Xian, China
⁴ Peng Huanwu Center for Fundamental Theory, 710127, Xian, China

^b haosongli@nwu.edu.cn

Received: 6 July 2023
Accepted: 20 March 2024
Published online: 13 April 2024

Abstract

In this work, we calculate the magnetic moments of the $P_{ψ}^{N^{0}}$ $P^{N^{0}}_{\psi }$ states and $P_{ψ}^{Δ^{0}}$ $P^{\Delta ^{0}}_{\psi }$ states with valence quark content $\bar{c} c u d d$ ${\bar{c}}cudd$ in molecular model, diquark–diquark–antiquark model and diquark–triquark model, as well as the transition magnetic moments in the molecular model. At the same time, we also calculate magnetic moments and transition magnetic moments of $P_{ψ}^{Δ^{+ +}}$ $P^{\Delta ^{++}}_{\psi }$ states and $P_{ψ}^{Δ^{-}}$ $P^{\Delta ^{-}}_{\psi }$ states in the molecular model as additional products. Our results show that in the diquark–diquark–antiquark model, the magnetic moments of $λ$ $\lambda$ excitation state are usually larger than the magnetic moments of $ρ$ $\rho$ excitation state. We find some interesting proportional relationships between the expressions of transition magnetic moments. The results provide important insights for future experimental observation of hidden-charm pentaquark states and help to distinguish their inner structures. With these efforts, our understanding of the properties for the hidden-charm pentaquark states will become more abundant.

© The Author(s) 2024

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