Insights into the nature of X(3872) through B meson decays

We study the B-c,B-u,B-d -> X(3872)P decays in the perturbative QCD (PQCD) approach, involving the puzzling resonance X(3872), where P represents a light pseudoscalar meson (K or pi). Assuming X(3872) to be a 1(++) charmonium state, we obtain the following results. (a) The branching ratios of the B-c(+)-> X(3872)pi(+) and B-c(+)-> X(3872)K+ decays are consistent with the results predicted by the covariant light-front approach within errors; however, they are larger than those given by the generalized factorization approach. (b) The branching ratio of the B+-> X(3872)K+ decay is predicted as (3.8(-1.0)(+1.1))x10(-4), which is smaller than the previous PQCD calculation result but still slightly larger than the upper limits set by Belle and BaBar. Hence, we suggest that theB(0,+)-> X(3872)K-0,K-+ decays should be precisely measured by the LHCb and Belle II experiments to help probe the inner structure of X(3872). (c) Compared with the B-u,B-d -> X(3872)K decays, the B-u,B-d -> X(3872)pi decays have significantly smaller branching ratios, which drop to values as low as 10(-6). (d) The direct CP violations of these considered decays are small (10-3 similar to 10(-2)) because the penguin contributions are loop suppressed compared to the tree contributions. The mixing-induced CP violation of the B -> X(3872)K-S(0) decay is highly consistent with the current world average value sin2 beta=(69.9 +/- 1.7)%. Experimentally testing the results for the branching ratios and CP violations, including the implicit SU(3) and isospin symmetries of these decays, helps probe the nature of X(3872).