Analysis of the $Ξ_c^* \bar K$ molecular pentaquark state by its electromagnetic properties

Abstract

We are systematically studying the electromagnetic characteristics of multiquark systems to shed light on their internal structure, whose nature and quantum numbers are controversial. In this study, we investigate the magnetic dipole, electric quadrupole, and magnetic octupole moments of the $Ξ_c^*\bar K$ state within the context of the QCD light-cone sum rule. During this analysis, we posit that the $Ξ_c^*\bar K$ state assumes a molecular structure with quantum numbers $J^P = \frac{3}{2}^-$. The extracted outcomes are given as $μ_{Ξ_c^*\bar K} = 0.15^{+0.04}_{-0.03}\,μ_N$, $\mathcal{Q}_{Ξ_c^*\bar K} = (-0.93^{+0.22}_{-0.17})\times 10^{-3}\,\rm{fm^2}$, and $\mathcal{O}_{Ξ_c^*\bar K} = (-0.45^{+0.10}_{-0.09})\times 10^{-4}\,\rm{fm^3}$. The findings of this study, when considered alongside other pertinent characteristics, may assist in elucidating the nature of this controversial phenomenon.