Study of B_c⁺ decays to the K⁺K⁻π⁺ final state by using B_s⁰, χ_c0 and D⁰ resonances and weak annihilation nonresonant topologys

In this research the weak decay of B_c⁺ decays to the K⁺K⁻π⁺ final state, which is being observed by LHCb collaboration for the first time, is calculated in the quasi-two-body decays which takes the B_s⁰, χ_c0 and D⁰ resonances and weak annihilation nonresonant contributions into account. In this process, the B_c⁺ meson decays first into B_s⁰π⁺, χ_c0π⁺ and D⁰π⁺ intermediate states, and then the B_s⁰, χ_c0 and D⁰ resonances decay into K⁺K⁻ components, which undergo final state interaction. The mode of the B_c⁺→D⁰(→K⁻π⁺)K⁺ is also associated with the calculation, in this mode the intermediate resonance D⁰ decays to the K⁻π⁺ final mesons. The resonances B_s⁰, χ_c0 and D⁰ effects in the B_c⁺→B_s⁰(→K⁺K⁻)π⁺, B_c⁺→χ_c0(→K⁺K⁻)π⁺ and B_c⁺→D⁰(→K⁺K⁻)π⁺,D⁰(→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 〈K⁺K⁻π⁺|ud̄|0〉 is also considered. The decay mode of the B_c⁺→K̄^∗0(892)K⁺ is contributed to the annihilation contribution. The branching ratios of quasi-two-body decays expand in the range of (2.12±0.61)×10⁻⁶ to (7.56±1.71)×10⁻⁶.