Decay-angular-distribution correlated $CP$ violation in heavy hadron cascade decays

Abstract

$CP$ violation in baryon decay processes is still undiscovered to date. We present a general analysis of the decay-angular-distributions and the corresponding $CP$ asymmetries in cascade decays of the type $\mathbb{H}\to R(\to ab)c$, where $\mathbb{H}$ is a heavy hadron that decays through weak interactions $\mathbb{H}\to Rc$, and the resonance $R$ decays strongly via $R\to ab$. Based on the analysis, we propose to search for $CP$ violation in the decay-angular-distributions in the cascade decay processes $\mathbb{B}\to \mathcal{B}M$, with $\mathcal{B}$ or $M$ subsequently decaying through strong interactions, where $\mathbb{B}$ is the mother baryon, $\mathcal{B}$ or $M$ are the daughter baryon and meson, respectively, and $M$ has to be spin-nonzero. We also present some typical decay channels in which the search for such kinds of $CP$ asymmetries can be performed.

16 pages