The forward-backward asymmetry induced CP asymmetry in in phase space around the resonances and *

Abstract The interference between amplitudes corresponding to different intermediate resonances plays an important role in generating large CP asymmetries in the phase space in multi-body decays of bottom and charmed mesons. In this study, we examine the CP violation in the decay channel in the phase-space region where the intermediate resonances and dominate. In particular, the forward-backward asymmetry (FBA) and the CP asymmetry induced by FBA (FB-CPA), which are closely related to the interference effects between the two aforementioned resonances, are investigated. The nontrivial correlation between FBA and FB-CPA is analyzed. The analysis indicates that FB-CPAs around the resonance can be as large as approximately 35%, which can be potentially accessible by Belle and Belle-II collaborations in the near future.