Shedding light on the nature of the $P_{cs}(4459)$ pentaquark state

Abstract

To shed light on the properties of states whose nature, internal structure, and spin-parity quantum numbers are not fully elucidated, we systematically study their electromagnetic properties. In light of this concept, we present a comprehensive analysis of the magnetic dipole moment of the $P_{cs}(4459)$ pentaquark within the context of QCD light-cone sum rules, utilizing three distinct interpolating currents in the form of diquark-diquark-antiquark configurations that are likely to couple this pentaquark with $J^P =\frac{3}{2}^-$ quantum numbers. The numerical analysis yielded the following results: $\mu_{{J_\mu^1}}= -0.60 \pm 0.15~\mu_N$, $\mu_{{J_\mu^2}}=1.60 \pm 0.30~\mu_N$ , and $\mu_{{J_\mu^3}}= 0.99 \pm 0.20~\mu_N$. The numerical results obtained have led to the conclusion that the magnetic dipole moments of the $P_{cs}(4459)$ state are capable of projecting its inner structure. As is seen, the different diquark-diquark-antiquark configurations of the $P_{cs}(4459)$ pentaquark state contain important information about its internal structure. Thus, this study will provide prominent data to investigate the inner structure of the $P_{cs}(4459)$ pentaquark state. We compared our results with other theoretical predictions that could be a useful complementary tool for interpreting the nature of the $P_{cs}(4459)$ state. A thorough examination reveals that the results obtained by employing disparate theoretical approaches and different internal structure models are not consistent with each other. It is recommended that further studies be conducted using alternative non-perturbative techniques to gain a more comprehensive understanding of the observed results.