Exotic double-charm molecular states with hidden or open strangeness and around <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>4.5</mml:mn><mml:mo>∼</mml:mo><mml:mn>4.7</mml:mn><mml:mtext> </mml:mtext><mml:mtext> </mml:mtext><mml:mi>GeV</mml:mi></mml:mrow></mml:math>
Fu-Lai Wang, Xiang Liu
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 $S\text{\ensuremath{-}}D$ wave mixing and the coupled-channel effects. By extracting the effective potentials for the discussed ${H}_{s}{\overline{T}}_{s}$ 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 ${D}_{s}^{*}{\overline{D}}_{s1}+c.c.$ states with ${J}^{PC}={0}^{\ensuremath{-}\ensuremath{-}},{0}^{\ensuremath{-}+}$ and the ${D}_{s}^{*}{\overline{D}}_{s2}^{*}+c.c.$ states with ${J}^{PC}={1}^{\ensuremath{-}\ensuremath{-}},{1}^{\ensuremath{-}+}$. 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.