Investigation of magnetic moment of $P_{cs}(4338)$ and $P_{cs}(4459)$ pentaquark states

Abstract

In this study, we discuss the magnetic moment of $P_{cs}(4338)$ and $P_{cs}(4459)$ hidden-charmed pentaquarks, which are closely related to their substructures. The magnetic moments of these states are calculated with the help of the QCD light-cone sum rules method with quantum numbers $I(J^P)=0(1/2^{-})$ and $I(J^P)=0(3/2^{-})$ for $P_{cs}(4338)$ and $P_{cs}(4459)$, respectively. Our predictions for the magnetic moment ${\mu }_{P_{cs}}=0.34\pm 0.12{\mu }_N$ for the $P_{cs}(4338)$ state, and ${\mu }_{P_{cs}}=-1.67\pm 0.58{\mu }_N$ for the $P_{cs}(4459)$ state. As a by-product, the magnetic moments of the isospin$-1$ partners of these states have also been obtained. The magnetic moments are obtained as ${\mu }_{P_{cs}}=0.63\pm 0.21{\mu }_N$ and ${\mu }_{P_{cs}}=-3.33\pm 1.04{\mu }_N$ for the isospin-1 partners of the $P_{cs}(4338)$ and $P_{cs}(4459)$ states, respectively. Our results regarding the magnetic moments of these color singlet-singlet type pentaquark states are compared with the results in the literature.

Comments: 13 pages and 1 figure