Production rates of $D_s^{+}{D}_s^{-}$ and $D\bar{D}$ molecules in $B$ decays

Abstract

Motivated by the recent discovery of a charmonium $X(3960)$ in $B$ decays by the LHCb Collaboration, the likely existence of two bound/virtual states (denoted by $X_{s\bar{s}}$ and $X_{q\bar{q}}$) below the $D_s^{+}{D}_s^{-}$ and $\bar{D}D$ mass thresholds has been re-examined recently. In this work, we employ the effective Lagrangian approach to calculate their production rates in $B$ decays utilizing triangle diagrams. Our results show that the production yields of $B^{+}\to X_{s\bar{s}}{K}^{+}$ and $B^{+}\to X_{q\bar{q}}{K}^{+}$ are of the order of $10^{-4}$, in agreement with the relevant experimental data, which indicates that, if the $D_s^{+}{D}_s^{-}$ and $\bar{D}D$ bound states indeed exist, they can be detected in $B$ decays. Moreover, we calculate the production rate of $B^{+}\to X(3960)K^{+}$ assuming that $X(3960)$ is a resonant state of $D_s^{+}{D}_s^{-}$ and find that it is also of the order of $10^{-4}$ but a bit smaller than that as a $D_s^{+}{D}_s^{-}$ bound state.

accepted for publication in PRD

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Cited by in corpus (8)

• Heavy- and light-flavor symmetry partners of the $T_{cc}^{+}(3875)$, the $X(3872)$ and the $X(3960)$ from light-meson exchange saturation
• Understanding the $0^{++}$ and $2^{++}$ charmonium(-like) states near 3.9 GeV
• Resonance $X(3960)$ as a hidden charm-strange scalar tetraquark
• Shedding light on the $X(3930)$ and $X(3960)$ states with the $B^{-}\to K^{-}J/\psi \omega$ reaction
• Searching for femtoscopic signatures of the $D\bar{D}(I=0)[X(3700)]$ bound state
• Study of the $B^{-}\to K^{-}\eta {\eta }_c$ decay due to the $D\bar{D}$ bound state
• The ground states of hidden-charm tetraquarks and their radial excitations
• Near-threshold structures in the $D_s^{+}{D}_s^{-}$ mass distribution of the decay $B^{+}\to D_s^{+}{D}_s^{-}{K}^{+}$