Decays of the fully open flavor state <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mi>T</mml:mi></mml:mrow><mml:mrow><mml:mi>c</mml:mi><mml:mover accent="true"><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mo stretchy="false">¯</mml:mo></mml:mrow></mml:mover><mml:mn>0</mml:mn></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msubsup></mml:mrow></mml:math> in a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>D</mml:mi><mml:mo>*</mml:mo></mml:msup><mml:msup><mml:mi>K</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:math> molecule scenario

Abstract

Inspired by the recent observations of ${T}_{c\overline{s}0}^{0/++}$ in the processes ${B}^{0}\ensuremath{\rightarrow}{\overline{D}}^{0}{D}_{s}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ and ${B}^{+}\ensuremath{\rightarrow}{D}^{\ensuremath{-}}{D}_{s}^{+}{\ensuremath{\pi}}^{+}$ by LHCb Collaboration, we investigate the decay properties of the ${T}_{c\overline{s}0}^{0}$ in a ${D}^{*}{K}^{*}$ molecule scenario, and the widths of ${T}_{c\overline{s}0}^{0}\ensuremath{\rightarrow}{D}^{0}{K}^{0}$, ${D}_{s}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$, ${D}_{s}^{*+}{\ensuremath{\rho}}^{\ensuremath{-}}$, ${D}_{s1}^{(\ensuremath{'})+}{\ensuremath{\pi}}^{\ensuremath{-}}$, and ${D}^{*0}(D\ensuremath{\pi}{)}^{0}$ are estimated. Our estimations indicate that the width of ${T}_{c\overline{s}0}^{0}\ensuremath{\rightarrow}{D}_{s}^{+}{\ensuremath{\pi}}^{\ensuremath{-}}$ is sizable to be observed and the dominant decay mode of ${T}_{c\overline{s}0}^{0}$ is ${D}^{0}{K}^{0}$. Considering the isospin symmetry, we proposed to search ${T}_{c\overline{s}0}(2900{)}^{++}$ in the ${D}^{+}{K}^{+}$ invariant mass distributions of the process ${B}^{+}\ensuremath{\rightarrow}{D}^{+}{D}^{\ensuremath{-}}{K}^{+}$, where some preliminary experimental hints have been observed by LHCb Collaboration.

Topics & Concepts