Understanding $B^{-}\to X(3823)K^{-}$ via rescattering mechanism and predicting $B^{-}\to {\eta }_{c2}{(}^1{D}_2)/{\psi }_3{(}^3{D}_3)K^{-}$

Abstract

We study the observed $B^{-}\to X(3823)K^{-}$ decay via rescattering mechanism and show that this branching ratio is well reproduced by this mechanism. We further extend this theoretical framework to investigate the decays of $B^{-}\to {\eta }_{c2}{(}^1{D}_2)/{\psi }_3{(}^3{D}_3)K^{-}$, where the ${\eta }_{c2}{(}^1{D}_2)$ and the ${\psi }_3{(}^3{D}_3)$ are $D$-wave charmonium partners of the $X(3823)$. Our results show that the branching ratios, $B^{-}\to {\eta }_{c2}{(}^1{D}_2)K^{-}$ and $B^{-}\to {\psi }_3{(}^3{D}_3)K^{-}$, are of the order of $10^{-5}$, which can be accessible at LHCb, Belle and forthcoming BelleII.

Comments: 9 pages, 2 figures. Accepted by Phys. Rev. D