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.
Highlights
Studying exotic hadronic states, which are very different from conventional mesons and baryons, is an intriguing research frontier full of opportunities and challenges in hadron physics
Because of the masses of several X=Y=Z=Pc states are close to the thresholds of two hadrons, it is natural to consider them as the candidates of the hadronic molecules, which is the reason why exploring hadronic molecular states has become popular
In 2019, the BESIII Collaboration announced a white paper on the future physics program [48], where they plan to perform a detailed scan of cross sections between 4.0 and 4.6 GeV and take more data above 4.6 GeV
Summary
Studying exotic hadronic states, which are very different from conventional mesons and baryons, is an intriguing research frontier full of opportunities and challenges in hadron physics. Besides Yð4140Þ [30], the above studies on these typical charmoniumlike XYZ are mainly involved in hidden-charm hadronic molecular states without strangeness These observed XYZ states result in several systematic theoretical calculations of the interaction between charmed and anticharmed mesons [37,38,39,40,41]. In 2019, the BESIII Collaboration announced a white paper on the future physics program [48], where they plan to perform a detailed scan of cross sections between 4.0 and 4.6 GeV and take more data above 4.6 GeV These new measurements will result in complement the higher radial and orbital charmonium family [49,50], and provide us a good opportunity to study exotic state assignments to the XYZ states above 4.5 GeV.
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