Possible large $CP$ violation in three body decays of heavy baryon

Abstract

We propose a new mechanism which can introduce large $CP$ asymmetries in the phase spaces of three-body decays of heavy baryons. In this mechanism, a large $CP$ asymmetry is induced by the interference of two intermediate resonances, which subsequently decay into two different combinations of final particles. We apply this mechanism to the decay channel ${\Lambda }_b^0\to p{\pi }^0{\pi }^{-}$, and find that the differential $CP$ asymmetry can reach as large as $50\%$, while the regional $CP$ asymmetry can reach as large as $16\%$ in the interference region of the phase space.

Comments: 7 pages, 2 figures, 2nd version accepted by Phys. Lett. B