Branching ratios of Bc → AP decays in the perturbative QCD approach

In this paper we calculate the branching ratios (BRs) of the 32 charmless hadronic B-c -> AP decays (A = a(1)(1260), b(1)(1235), K-1(1270), K-1(1400), f(1)(1285), f(1)(1420), h(1)(1170), h(1)(1380)) by employing the perturbative QCD factorization approach. These considered decay channels can only occur via annihilation type diagrams in the standard model. From the numerical calculations and phenomenological analysis, we found the following results: (a) the perturbative QCD predictions for the BRs of the considered Bc decays are in the range of 10(-6) to 10(-8), while the CP-violating asymmetries are absent because only one type tree operator is involved here; (b) the BRs of Delta S = 0 processes are generally much larger than those of Delta S = 1 ones due to the large Cabibbo-Kobayashi-Maskawa factor of vertical bar V-ud/V-us vertical bar(2) similar to 19; (c) since the behavior for the P-1(1) meson is much different from that of the P-3(1) meson, the BRs of B-c -> A(P-1(1))P decays are generally larger than those of B-c -> A(P-3(1))P decays; (d) the perturbative QCD predictions for the BRs of Bc -> (K-1(1270), K-1(400))eta((1)) and (K-1(1270)), K-1(1400))K decays are rather sensitive to the value of the mixing angle 0(K).