Study of B+ c decays to the K+K−π+ final state by using B0 s , χc0 and D0 resonances and weak annihilation nonresonant topologys

A bstract 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 s 0 , χ c 0 and D 0 resonances and weak annihilation nonresonant contributions into account. In this process, the B c + meson decays first into B s 0 π + , χ c 0 π + and D 0 π + intermediate states, and then the B s 0 , χ c 0 and D 0 resonances decay into K + K − components, which undergo final state interaction. The mode of the B c +  →  D 0 (→ K − π + ) K + is also associated with the calculation, in this mode the intermediate resonance D 0 decays to the K − π + final mesons. The resonances B s 0 , χ c 0 and D 0 effects in the B c +  →  B s 0 (→ K + K − ) π + , B c +  →  χ c 0 (→ K + K − ) π + and B c +  →  D 0 (→ K + K − ) π + , D 0 (→ 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 $$ \left\langle {K}^{+}{K}^{-}{\pi}^{+}\left|u\overline{d}\right|0\right\rangle $$ K + K − π + u d ¯ 0 is also considered. The decay mode of the $$ {B}_c^{+}\to {\overline{K}}^{\ast 0}(892){K}^{+} $$ B c + → K ¯ ∗ 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 .