Understanding B−→X(3823)K−B^-\rightarrow X(3823)K^- via rescattering mechanism and predicting B−→ηc2(1D2)/ψ3(3D3)K−B^-\to η_{c2} (^1D_2)/ψ_3(^3D_3)K^-

preprint2016arXivOpen access

Abstract

We study the observed B−→X(3823)K−B^-\rightarrow 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−→ηc2(1D2)/ψ3(3D3)K−B^-\toη_{c2} (^1D_2)/ψ_3(^3D_3)K^-, where the ηc2(1D2)η_{c2} (^1D_2) and the ψ3(3D3)ψ_3(^3D_3) are DD-wave charmonium partners of the X(3823)X(3823). Our results show that the branching ratios, B−→ηc2(1D2)K−B^-\to η_{c2}(^1D_2) K^- and B−→ψ3(3D3)K−B^-\to ψ_3(^3D_3) K^-, are of the order of 10−510^{-5}, which can be accessible at LHCb, Belle and forthcoming BelleII.

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