Exploration of the hidden charm decays of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msub><mml:mi>Z</mml:mi><mml:mrow><mml:mi>c</mml:mi><mml:mi>s</mml:mi></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mn>3985</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>
Qi Wu, Dian-Yong Chen
Abstract
In the present work, we investigate the decays of ${Z}_{cs}^{\ensuremath{-}}(3985)$ in the ${D}_{s}^{\ensuremath{-}}{D}^{*0}+{D}_{s}^{*\ensuremath{-}}{D}^{0}$ molecular frame. By using an effective Lagrangian approach, the branching ratios of ${Z}_{cs}^{\ensuremath{-}}\ensuremath{\rightarrow}J/\ensuremath{\psi}{K}^{\ensuremath{-}}$ and ${Z}_{cs}^{\ensuremath{-}}\ensuremath{\rightarrow}{\ensuremath{\eta}}_{c}{K}^{*\ensuremath{-}}$ are estimated. It is found that the dominating decay mode of ${Z}_{cs}^{\ensuremath{-}}(3985)$ is open charm channel, while, the branching ratio of the hidden charm decay channels is about 20%. In particular, the branching ratios of ${Z}_{cs}^{\ensuremath{-}}\ensuremath{\rightarrow}J/\ensuremath{\psi}{K}^{\ensuremath{-}}$ and ${Z}_{cs}^{\ensuremath{-}}\ensuremath{\rightarrow}{\ensuremath{\eta}}_{c}{K}^{*\ensuremath{-}}$ are predicted to be an order of 10%. Moreover, our estimation indicates that the fraction of the quasi-two-body cascade decay via ${Z}_{cs}(3985)$ and the total cross section of ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}{K}^{+}{K}^{\ensuremath{-}}J/\ensuremath{\psi}$ around 4.68 GeV is $(6.{8}_{\ensuremath{-}6.2}^{+10.5})%$. All the predicted branching ratios in the present work could be tested by further measurements in BESIII and Belle II.