Probing the electromagnetic properties of the $\Sigma_c^{(*)}D^{(*)}$-type doubly charmed molecular pentaquarks

TL;DR

This paper investigates the electromagnetic properties of doubly charmed molecular pentaquarks, including magnetic moments and radiative decay widths, considering wave mixing and coupled channel effects, to guide future experimental measurements.

Contribution

It introduces a theoretical framework for calculating magnetic and transition magnetic moments of $\, ext{Sigma}_c^{(*)}D^{(*)} ext{-type}$ pentaquarks, incorporating wave mixing and coupled channels effects.

Findings

Calculated magnetic moments for various molecular states.

Predicted transition magnetic moments and radiative decay widths.

Proposed relations between magnetic moments and transition moments for experimental access.

Abstract

In this work, we discuss the electromagnetic properties of the $S$-wave $\Sigma_c^{(*)}D^{(*)}$-type doubly charmed molecular pentaquarks, which have close relation to their inner structures. Both the $S$-$D$ wave mixing effect and the coupled channel effect are taken into account. We analyze the magnetic moments for the $S$-wave $\Sigma_c^{(*)}D^{(*)}$ molecular states, and extend our theoretical framework to study the transition magnetic moments and the radiative decay widths between the $S$-wave $\Sigma_c^{(*)}D^{(*)}$ molecules. We discuss the relations between the magnetic moments and the transition magnetic moments for the $S$-wave $\Sigma_c^{(*)}D^{(*)}$-type doubly charmed molecular pentaquarks, which can be regarded as an indirect way to measure their magnetic moments experimentally. The present study may inspire experimentalist's interest in measuring the electromagnetic properties of the hadronic molecular states.