Investigation of Hadronic Quasi-Three-Body B Decays

Abstract

We interest to investigate of the quasi-three-body decays of B0 meson to $${f_0}(980){K^ + }{\pi ^ - }({f_0}(980) \to \pi \pi )$$ and $${\bar D_1}{(2420)^0}{\pi ^ + }{\pi ^ - }(\bar D_1^0) \to D{^{*-} }{\pi ^ + }$$ . The analysis of mentioned four-body decays is such as to factorize into the three-body decay and several channels observed. Hadronic three-body decays include both non-resonant and resonant contributions, on the basis of the factorization approach. In the case of B0 to vector pseudoscalar states appeared in factorized terms, the B* pole contribution is considered. Hence the matrix element of the B* → D1 weak transition and strong vertex is computed. Therefore the theoretical values are (1.418 ± 0.21) × 10−6 and (1.44 ± 0.2) × 10−4, while the experimental results of them are $$(1.4_{-0.6}^{+0.5})\times10^{-6}$$ , respectively. Comparing computational analysis values with experimental values show that our results are in agreement with them.