Evaluation of the three body branching fraction of [formula omitted] by applying the [formula omitted] decay channel

Abstract

Three body Bc+→J/ψD0K+ decay, which has been recently observed by LHCb collaboration, and are calculated in the model which takes into account the intermediate resonances and nonresonant contributions. In this process, the Bc meson decays first into J/ψ and the quark pair cs¯, and then the quark pair hadronizes into DK components, which undergo final state interaction. The nonresonant contributions arise from the two-body matrix elements of the weak current 〈D0K+|Jμweak|0〉 transition. The Ds+(⁎) mesons are used for intermediate pseudoscalar and vector resonant contributions. The annihilation amplitude arising from the 3-body matrix element of 〈J/ψD0K+|cs¯|0〉 is also associated. Their effects are described in terms of the Breit-Wigner formalism. Because of the Bc+→J/ψD0K+ branching fraction is calculated relative to the Bc+→J/ψπ+ decay, this decay mode is estimated separately, the ratio between the B(Bc+→J/ψD0K+) and B(Bc+→J/ψπ+) to be 0.382±0.084 that is compatible with the experimental data 0.432±0.136±0.028.