Quasi Three-Body Decay of D Meson

The aim of this work is to provide a phenomenological analysis of the contribution of D⁰ meson to K^*(892)⁰π⁺π^-(K^*(892)⁰→π⁺K^-), K^-π⁺ω (ω→π⁺π-π⁰) and K^-π⁺?(?(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.