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

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 $\Xi_c^*\bar K$ state within the context of the QCD light-cone sum rule. During this analysis, we posit that the $\Xi_c^*\bar K$ state assumes a molecular structure with quantum numbers $J^P = \frac{3}{2}^-$. The extracted outcomes are given as $\mu_{\Xi_c^*\bar K} = 0.15^{+0.04}_{-0.03}\,\mu_N$, $\mathcal{Q}_{\Xi_c^*\bar K} = (-0.93^{+0.22}_{-0.17})\times 10^{-3}\,\rm{fm^2}$, and $\mathcal{O}_{\Xi_c^*\bar K} = (-0.45^{+0.10}_{-0.09})\times 10^{-4}\,\rm{fm^3}$. The findings of this study, when considered alongside other pertinent characteristics, may assist in elucidating the nature of this controversial phenomenon.