A coupled-channel quark model study of possible $Ξ_{cc}^{(*)} K^{(*)}$ molecular states

Abstract

Inspired by the recent experimental discovery of doubly charmed baryons, we investigate the possible $Ξ_{cc}^{(*)}K^{(*)}$ 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 $I(J^P)=0(1/2^{-})$ $Ξ_{cc}K$, the $I(J^P)=0(3/2^{-})$ $Ξ_{cc}^{*}K$, and the $I(J^P)=0(5/2^{-})$ $Ξ_{cc}^{*}K^{*}$ molecular states. The scattering phase shift analysis further confirms two $Ξ_{cc}K^{*}$ 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 $I(J^P)=0(1/2^{-})$ $Ξ_{cc}K$ bound state is consistent with previous theoretical studies, making it one of the most promising candidates for future experimental searches.