Magnetic moments and transition magnetic moments of $P_c$ and $P_{cs}$ states

TL;DR

This paper investigates the magnetic and transition magnetic moments of $P_c$ and $P_{cs}$ states within a molecular framework, analyzing effects of coupled channels and D waves to better understand their internal structure.

Contribution

It provides a detailed calculation of magnetic moments and transition moments of $P_c$ and $P_{cs}$ states, including coupled channel and D wave effects, offering new insights into their electromagnetic properties.

Findings

Coupled channel effects alter magnetic moments by 0.1 to 0.4 $rac{}{}$N.

D wave contributions induce less than 0.03 $rac{}{}$N change.

Magnetic moments of $P_{cs}$ vary significantly with assumed spin states.

Abstract

We study the magnetic moments and transition magnetic moments of $P_c$ and $P_{cs}$ states in the molecular picture. We first revisit the magnetic moments of $P_c$ states as the $S$ wave molecular states without coupled channel effects. The coupled channel effects and the $D$ wave contributions are then investigated carefully. The coupled channel effects contribute to the change of $0.1\sim 0.4$ nuclear magneton $\mu_N$ for most cases while the $D$ wave only induces the variation of less than $0.03 ~\mu_N$. In addition, we obtain the transition magnetic moments between different $P_c$ states and the related electromagnetic decay widths of $P_c'\to P_c\gamma$. The magnetic moments of $P_{cs}$ are much different for the assumption of spin being 1/2 and 3/2. The study of electromagnetic properties will help us disclose further the structure of these unconventional states.