Production of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ in $B$ decays as $D^{(\ast )}K$ and $D_s^{(\ast )}\eta$ molecules

Abstract

The molecular nature of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ have been extensively studied from the perspective of their masses, decay properties, and production rates. In this work, we study the weak decays of $B\to {\bar{D}}^{(\ast )}{D}_{s0}^{\ast }(2317)$ and $B\to {\bar{D}}^{(\ast )}{D}_{s1}(2460)$ by invoking triangle diagrams where the $B$ meson first decays weakly into ${\bar{D}}^{(\ast )}{D}_s^{(\ast )}$ and $J/\psi K$(${\eta }_{c}K$), and then the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ are dynamically generated by the final-state interactions of $D_s^{(\ast )}\eta$ and $D^{(\ast )}K$ via exchanges of $\eta$ and $D^{(\ast )}$ mesons. The obtained absolute branching fractions of Br$[B\to {\bar{D}}^{(\ast )}{D}_{s0}^{\ast }(2317)]$ are in reasonable agreement with the experimental data, while the branching fractions of Br$[B\to {\bar{D}}^{(\ast )}{D}_{s1}(2460)]$ are smaller than the experimental central values by almost a factor of two to three. We tentatively attribute such a discrepancy to either reaction mechanisms missing in the present work or the likely existence of a relatively larger $c\bar{s}$ component in the $D_{s1}(2460)$ wave function.

17 pages, 4 figures; to appear in Physical Review D

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Cited by in corpus (8)

• Study of the $DK$ interaction with femtoscopic correlation functions
• The roles of the $T_{c\bar{s}0}(2900{)}^0$ and $D_0^{\ast }(2300)$ in the process $B^{-}\to D_s^{+}{K}^{-}{\pi }^{-}$
• Isospin-conserving hadronic decay of the $D_{s1}(2460)$ into $D_s{\pi }^{+}{\pi }^{-}$
• Theoretical investigation of the molecular nature of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ and the possibility of observing the $D\bar{D}K$ bound state $K_{c\bar{c}}(4180)$ in inclusive $e^{+}{e}^{-}\to c\bar{c}$ collisions
• The strong vertices of charmed mesons $D$, $D^{\ast }$ and charmonia $J/\psi$, ${\eta }_c$
• Productions of $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ in $B_{(s)}$ and ${\Lambda }_b({\Xi }_b)$ decays
• Masses and radiative decay widths of the $D_{s0}^{\ast }(2317)$ and $D_{s1}^{\prime }(2460)$ and their bottom analogs
• Correlation function for the $n{\bar{D}}_{s0}^{\ast }(2317)$ interaction and the issue of elastic unitarity