Studying the localized CP violation and the branching fraction of the decay * * Supported by National Natural Science Foundation of China (11575023, 11775024, 11947001, 11605150), the Fundamental Research Funds for the Provincial Universities of Zhejiang Province and Ningbo Natural Science Foundation (2019A610067)

Abstract

In this work, we study the localized violation and the branching fraction of the four-body decay by employing a quasi-two-body QCD factorization approach. Considering the interference of and channels, we predict and , respectively, which shows that the interference mechanism of these two channels can induce the localized violation to this four-body decay. Meanwhile, within the two quark model framework for the scalar mesons and , we calculate the direct CP violations and branching fractions of the and decays, respectively. The corresponding results are , , and , indicating that the violations of these two-body decays are both positive and the branching fractions quite different. These studies provide a new way to investigate the aforementioned four-body decay and can be helpful in clarifying the configuration of the structure of the light scalar meson.