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.

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