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

TL;DR

This paper predicts potential hidden-charm molecular states with strangeness around 4.5 to 4.7 GeV using a one boson exchange model, focusing on interactions between specific charmed-strange mesons and their bound state solutions.

Contribution

It introduces a detailed theoretical analysis of charmed-strange meson interactions, predicting new hidden-charm molecular states with specific quantum numbers and analyzing their potential existence.

Findings

Predicted hidden-charm molecular states with specific $J^{PC}$ quantum numbers.

Excluded the existence of open-charm and open-strange molecular states in the studied systems.

Provided effective potentials for $H_s\bar{T}_s$ and $H_s T_s$ systems.

Abstract

In this work, we investigate the interactions between the charmed-strange meson ($D_s, D_s^{*}$) in $H$-doublet and the (anti-)charmed-strange meson ($D_{s1}, D_{s2}^{*}$) 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 $D_s^{*}\bar D_{s1}+c.c.$ states with $J^{PC}$=$0^{--}, 0^{-+}$ and the $D_s^{*}\bar D_{s2}^{*}+c.c.$ 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.