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

Abstract

In this work, we calculate the magnetic moments of the $P_{\psi }^{N^0}$ states and $P_{\psi }^{{\Delta }^0}$ states with valence quark content $\bar{c}cudd$ 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 $P_{\psi }^{{\Delta }^{++}}$ states and $P_{\psi }^{{\Delta }^{-}}$ states in the molecular model as additional products. Our results show that in the diquark-diquark-antiquark model, the magnetic moments of $\lambda$ excitation state are usually larger than the magnetic moments of $\rho$ 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.

arXiv admin note: text overlap with arXiv:2207.08660 by other authors

References in corpus (14)

• Study of $P_c(4457)$, $P_c(4440)$, and $P_c(4312)$ in a quasipotential Bethe-Salpeter equation approach
• Analysis of the $P_{cs}(4459)$ as the hidden-charm pentaquark state with QCD sum rules
• Masses and magnetic moments of hadrons with one and two open heavy quarks: heavy baryons and tetraquarks
• Magnetic dipole moments of the hidden-charm pentaquark states: $P_c(4440)$, $P_c(4457)$ and $P_{cs}(4459)$
• Magnetic moments and transition magnetic moments of $P_c$ and $P_{cs}$ states
• $P_c(4312{)}^{+}$, $P_c(4380{)}^{+}$, and $P_c(4457{)}^{+}$ as double triangle cusps
• What can we learn from the electromagnetic properties of hidden-charm molecular pentaquarks with single strangeness?
• Magnetic moments of the hidden-charm strange pentaquark states
• Masses of tetraquarks with open charm and bottom
• Investigation of magnetic moment of $P_{cs}(4338)$ and $P_{cs}(4459)$ pentaquark states
• Hidden charm pentaquark states in a diquark model
• Electromagnetic properties of doubly heavy pentaquark states
• Probing the electromagnetic properties of the ${\Sigma }_c^{(\ast )}{D}^{(\ast )}$-type doubly charmed molecular pentaquarks
• Relations for low-energy constants in baryon chiral perturbation theory with explicit $\Delta (1232)$ derived from the chiral quark model

Cited by in corpus (9)

• Exploring the mass spectrum and the electromagnetic properties of the possible ${\Xi }_{cc}{K}^{(\ast )}$ and ${\Xi }_{cc}{\bar{K}}^{(\ast )}$ molecules
• Magnetic Moments of Hidden-Charm Pentaquarks in the Diquark-Diquark-Antiquark Scheme
• Spectroscopic Properties of Double-Strangeness Molecular Tetraquarks
• Electromagnetic properties of possible triple-charm molecular hexaquarks
• Unveiling the Composition of the Single-Charm Molecular Pentaquarks: Insights from Radiative Decay and Magnetic Moment
• Electromagnetic characteristics as probes into the inner structures of the predicted ${\Xi }_c^{{(}^{\prime },\ast )}{D}_s^{(\ast )}$ molecular states
• Radiative decay and axial-vector decay behaviors of octet pentaquark states
• Charting doubly strange hidden-charm pentaquarks: An electromagnetic mapping of spin-$\frac{1}{2}$ and $\frac{3}{2}$ states
• Analytic electromagnetic signatures of compact pentaquark structure: A multi-current QCD light-cone sum rules analysis of the $P_{\psi s}^{\Lambda }$ states