Analysis of the $\boldsymbol {B}_{\boldsymbol {c}}^{\boldsymbol {+}} {\boldsymbol \to } {\boldsymbol {D}}_{\boldsymbol {s}}^{\boldsymbol {+}} \overline {K}^{\mathbf {0}^{\ast }}$ decay

Abstract

We analysed the process of $B_{c}^{+}{\to } D_{s}^{+}\overline {K}^{0^{\ast } }$ using QCD factorization (QCDF) and final-state interaction (FSI) effects. First, the $B_{c}^{+}{\to } D_{s}^{+}\overline {K}^{0^{\ast } }$ decay is calculated using QCDF method. The value found by using the QCDF method is less than the experimental value. Then we considered FSI effect as a sizable correction where the intermediate state $D^{+^{\ast } }\pi ^{0}$ mesons via the exchange of $K^{0}(K^{0^{\ast } })$ are produced. To consider the amplitudes of this intermediate state, the QCDF approach was used. The experimental branching ratio of $B_{c}^{+}{\to } D_{s}^{+}\overline {K}^{0^{\ast } }$ decay is less than 0.4×10⁻⁶ and our results are (0.21±0.04)×10⁻⁷ and (0.37±0.05)×10⁻⁶ from QCDF and FSI, respectively.