Two-body strong decays of the $P_{cs}(4338)$ as a hidden-charm pentaquark state via the QCD sum rules

Abstract

In this work, we study the hadronic coupling constants of the $P_{cs}(4338)$ as a $[us][dc]\bar{c}-[ds][uc]\bar{c}$ type pentaquark state with the spin-parity $J^P={\frac{1}{2}}^-$ via the three-point QCD sum rules according to rigorous quark-hadron quality. We select the optimal parametrization to subtract contaminations from the higher resonances and continuum states and obtain ideal hadronic coupling constants therefore the partial decay widths and total width $\Gamma(P_{cs}(4338))=10.48\pm 1.79\,\rm{MeV}$, which are consistent with the experimental data $\Gamma(P_{cs}(4338)) = 7.0\pm1.2\pm1.3 \mbox{ MeV}$ from the LHCb collaboration. The partial decay widths have the hierarchy $\Gamma(J/\psi\Lambda)>\Gamma(\bar{D}_s\Lambda_c)>\Gamma(\eta_c\Lambda)$, which can be compared to the experimental data in the future to distinguish the pentaquark and molecule scenarios.