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arXiv 1709.00550hep-ph
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Study of $B^+_c$ decays to the $K^+K^-π^+$ final state by using $B^0_s$, $χ_{c0}$ and $D^0$ resonances and weak annihilation nonresonant topologys

Behnam Mohammadi

英文摘要:

In this research the weak decay of $B^+_c$ decays to the $K^+K^-π^+$ final state, which is observed by LHCb collaboration for the first time, is calculated in the quasi-two-body decays which takes into account the $B^0_s$, $χ_{c0}$ and $D^0$ resonances and weak annihilation nonresonant contributions. In this process, the $B^+_c$ meson decays first into $B^0_sπ^+$, $χ_{c0}π^+$ and $D^0π^+$ intermediate states, and then the $B^0_s$, $χ_{c0}$ and $D^0$ resonances decay into $K^+K^-$ components, which undergo final state interaction. The mode of the $B^+_c\rightarrow D^0(\rightarrow K^-π^+)K^+$ is also associated to the calculation, in this mode the intermediate resonance $D^0$ decays to the $K^-π^+$ final mesons. The resonances $B^0_s$, $χ_{c0}$ and $D^0$ effects in the $B^+_c\rightarrow B^0_s(\rightarrow K^+K^-)π^+$, $B^+_c\rightarrow χ_{c0}(\rightarrow K^+K^-)π^+$ and $B^+_c\rightarrow D^0(\rightarrow K^+K^-)π^+, D^0(\rightarrow K^-π^+)K^+$ decays are described in terms of the quasi-two-body modes. There is a weak annihilation nonresonant contribution in which $B^+_c$ decays to the $K^+K^-π^+$ directly, so the point-like 3-body matrix element $\langle K^+K^-π^+|u\bar{d}|0\rangle$ is also considered. The decay mode of the $B^+_c\rightarrow \bar{K}^{*0}(892)K^+$ is contributed to the annihilation contribution. The branching ratios of quasi-two-body decays expand in the range from $1.98\times10^{-6}$ to $7.32\times10^{-6}$.

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