Prediction of $QQqq\bar{s}$ molecular pentaquarks within the extended local hidden gauge approach

Abstract

We investigate hadronic molecular states with the quark contents $ccqq\bar{s}$, $bbqq\bar{s}$, and $bcqq\bar{s}$ $(q=u,d)$ by employing the extended local hidden gauge approach. Considering that the $S$-wave meson-baryon interactions are dominated by vector meson exchange, the coupled channels scattering amplitudes are obtained by solving the Bethe-Salpeter equation in its on-shell form. We find that the poles appearing on the complex Riemann sheet are potential candidates for dynamically generated molecular pentaquark states. The results suggest the existence of a total of fourteen molecular states with quantum numbers $I(J^P)=0(1/2^{-})$, $0(3/2^{-})$, and $0(5/2^{-})$, which arise from the interactions of the $K^{(\ast )}{\Xi }_{cc}^{(\ast )}$, $K^{(\ast )}{\Xi }_{bb}^{(\ast )}$, $K^{(\ast )}{\Xi }_{bc}^{(\ast )}$, and $K^{(\ast )}{\Xi }_{bc}^{{}^{\prime }}$ channels, respectively. Their binding energies are calculated to be about $0.1-33$ MeV, and this range depends on the free parameter of the theory. Our research contributes to the spectroscopic studies of hadronic molecular pentaquark states.

Comments: 11 pages, 6 figures