Quasi Three-Body Decay of D Meson

Abstract

The aim of this work is to provide a phenomenological analysis of the contribution of D0 meson to , K−π+ω (ω → π+π−π0) and K−π+ ø (ø(1020) → K+K−) quasi-three-body decays. The analysis of mentioned multi-body decays is such as to factorize into the three-body decay and several channels observed. Hadronic three-body decays receive both resonant and non-resonant contribution. Based on the factorization method, there are tree and emission annihilation diagrams for these decay modes. In the case of D0 to vector pseudoscalar states appeared in factored terms, the matrix elements of the vector and axial vector currents between the D0 and PV mesons can be computed by using D*+ pole. Considering the non-resonant and resonant amplitude in our computation, the theoretical values of the branching ratio are (9.78±0.46)×10−3, (2.74±0.17)×10−2, and (3.53±0.23)×10−5, while the experimental results of them are (9.9±2.3)×10−3, (2.7±0.5)×10−2, and (4±1.7)×10−5 respectively. Comparing computational analysis values with experimental values show that our results are in approximately agreement with them.