Resonance contributions from $χ_{c0}$ in the charmless three-body hadronic $B$ meson decays

Abstract

Within the framework of perturbative QCD factorization, we investigate the nonfactorizable contributions to these factorization-forbidden Quasi-two-body decays B (s) → hχc0 → hπ + π − (K + K − ) with h = π, K. We compare our predicted branching ratios for the B (s) → Kχc0 → Kπ + π − (K + K − ) decay with available experiment data as well as predictions by other theoretical studies. The branching ratios of these decays are consistent with data and other theoretical predictions. In the Cabibbo-suppressed decays B (s) → hχc0 → hπ + π − (K + K − ) with h = K0 , π, however, the values of the branching ratios are the order of 10 −7 and 10 −8 . The ratio Rχ c0 between the decay B + → π + χc0 → π + π + π − and B + → K + χc0 → K + π + π − and the distribution of branching ratios for different decay modes in invariant mass are considered in this work.