Analysis of three-body B decays to heavy vector and light pseudoscalar mesons

In this research, we analysis the three-body decays of the B-0 meson toJ/psi K+ pi(-)and psi (2S) K+ pi(-) final-state mesons. By taking the factorization approach, for these decay modes, color-suppressed internal W-emission and penguin Feynman diagrams can be plotted. The transition matrix elements of B-0 -> J/psi(psi(2S)) K+ pi(-) are factorized into a B-0 -> K+ pi(-) form factor multiplied by the J/psi(psi(2S)) decay constant. We investigate these decays by using the Dalitz plot analysis with an important assumption. We assume that, in the B-0 -> J/psi(psi(2S)) K+ pi(-) decays, because the mass of theJ/psi(psi(2S)) is too heavy against the K and p mesons, therefore it carries a small momentum. In particular, the backlash of the J/psi(psi(2S)) can be neglected. With this assumption we get that the J psi(psi(2S)) meson remains stationary, and the K and pi mesons move back to back. We calculate the nonresonant contribution of B-0 -> J/psi K+ pi(-) and B-0 -> psi(2S) K+ pi(-) decays and the branching ratios become 1.15(-0.64)(+0.89) X 10(-3) and 0.69(-0.04)(+0.05)X 10(-3), respectively, and the experimental results for them are (1.20 +/- 0.60) x10(-3) and (0.57 +/- 0.04) x10(-3), respectively. Note that the resonant contributions are very small, so we ignore them in our calculations.