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.

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

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Cited by in corpus (9)

• Charmonium spectrum and their electromagnetic transitions with higher multipole contributions
• Study of the ${\psi }_2(3823)$ and ${\chi }_{c1}(3872)$ states in $B^{+}\to \left(J\psi {\pi }^{+}{\pi }^{-}\right)K^{+}$ decays
• How to understand the underlying structures of $X(4140)$, $X(4274)$, $X(4500)$ and $X(4700)$
• Role of the newly measured $B\to KD\bar{D}$ process to establish ${\chi }_{c0}(2P)$ state
• Study of charmonium and charmonium-like contributions in $B^{+}\to J/\psi \eta K^{+}$ decays
• Production of charmonium ${\chi }_{cJ}(2P)$ plus one $\omega$ meson by $e^{+}{e}^{-}$ annihilation
• Study on ${\eta }_{c2}({\eta }_{b2})$ electromagnetic decay into double photons
• Discovery potential of charmonium $2P$ states through the $e^{+}{e}^{-}\to \gamma D\bar{D}$ processes
• Non-$D\bar{D}$ Decays into Light Meson Pairs of the $D$-Wave Charmonium ${\psi }_3(3842)$