Exotic double-charm molecular states with hidden or open strangeness and around $4.5\sim 4.7$ GeV

Abstract

In this work, we investigate the interactions between the charmed-strange meson ($D_s,D_s^{\ast }$) in $H$-doublet and the (anti-)charmed-strange meson ($D_{s1},D_{s2}^{\ast }$) in $T$-doublet, where the one boson exchange model is adopted by considering the $S$-$D$ wave mixing and the coupled-channel effects. By extracting the effective potentials for the discussed $H_s{\bar{T}}_s$ and $H_s{T}_s$ systems, we try to find the bound state solutions for the corresponding systems. We predict the possible hidden-charm hadronic molecular states with hidden strangeness, i.e., the $D_s^{\ast }{\bar{D}}_{s1}+c.c.$ states with $J^{PC}$=$0^{--},0^{-+}$ and the $D_s^{\ast }{\bar{D}}_{s2}^{\ast }+c.c.$ states with $J^{PC}$=$1^{--},1^{-+}$. Applying the same theoretical framework, we also discuss the $H_s{T}_s$ systems. Unfortunately, the existence of the open-charm and open-strange molecular states corresponding to the $H_s{T}_s$ systems can be excluded.

Comments: 13 pages, 9 tables and 1 figure. Accepted by Phys. Rev. D