A coupled-channel quark model study of possible ${\Xi }_{cc}^{(\ast )}{K}^{(\ast )}$ molecular states

Abstract

Inspired by the recent experimental discovery of doubly charmed baryons, we investigate the possible ${\Xi }_{cc}^{(\ast )}{K}^{(\ast )}$ molecular systems within the framework of the quark delocalization color screening model. The energy spectra and scattering processes of the relevant baryon-meson systems are investigated to explore the dynamical properties of the possible molecular states. The spectrum calculations predict three bound states, namely the $I(J^P)=0(1/2^{-})$ ${\Xi }_{cc}K$, the $I(J^P)=0(3/2^{-})$ ${\Xi }_{cc}^{\ast }K$, and the $I(J^P)=0(5/2^{-})$ ${\Xi }_{cc}^{\ast }{K}^{\ast }$ molecular states. The scattering phase shift analysis further confirms two ${\Xi }_{cc}{K}^{\ast }$ resonance states with $I(J^P)=0(1/2^{-})$ and $0(3/2^{-})$, which originate from quasi-bound states through channel coupling. In particular, the $I(J^P)=0(1/2^{-})$ ${\Xi }_{cc}K$ bound state is consistent with previous theoretical studies, making it one of the most promising candidates for future experimental searches.

Comments: 14 pages, 5 figures