The resonance effect for the CP asymmetry associated with the process
Xi-Liang Yuan (Institute of Theoretical Physics, College of Physics, Henan University of Technology, Zhengzhou 450001, China, School of Ecology and Environment, Northwestern Polytechnical University, Xi'an 710072, China); Gang Lü (Institute of Theoretical Physics, College of Physics, Henan University of Technology, Zhengzhou 450001, China); Na Wang (Institute of Theoretical Physics, College of Physics, Henan University of Technology, Zhengzhou 450001, China); Chao Wang (School of Ecology and Environment, Northwestern Polytechnical University, Xi'an 710072, China)
The direct CP asymmetry in the weak decay process of hadrons is commonly attributed to the weak phase of the CKM matrix and the indeterminate strong phase. We propose a method to generate a significant phase difference through the interference between ρ and ω mesons, taking into account the G-parity allowed decay process of $\omega \rightarrow \pi^{+}\pi^{-}\pi^{0}$ and the G-parity-suppressed decay process of $\omega \rightarrow \pi^{+}\pi^{-}\pi^{0}$ in B meson decays. This interference can lead to notable changes in the CP asymmetry within the interference region. Additionally, we calculate the integral results for different phase space regions of the four-body decay process. We hope that our work provides valuable theoretical guidance for future experimental investigations on CP asymmetry in these decays.
