Study of $CP$ violation in $Λ_b^0/Ξ^-_b\rightarrow Λ(1520)M$ decays with the final-state rescattering mechanism

Abstract: Recently, the LHCb collaboration reported the first observation of $CP$ violation in baryon decays, with a significance of more than $5σ$. This strongly motivates us to investigate the $CP$ violation in more baryon decay processes. In this work, we employ the final-state rescattering mechanism with introducing two model parameters, $Λ<em>{charm}$ and $Λ</em>{charmless}$, and calculate two-body non-leptonic baryon decays $$Λ^0_b \rightarrow Λ(1520)\,π^{0/κ(700)/f_0(500,} 980)/ρ<sup>0/K<sup>{*0}/φ$$ and $Ξ^-_b \rightarrow Λ(1520)\,K<sup>-$. Consequently, we evaluate the corresponding branching ratios, $CP$ asymmetries, and interference effects between different decay amplitudes. Our theoretical predictions for certain decay channels are in good agreement with current experimental measurements, while the remaining processes--particularly the remarkably large $CP$ violation observable revealed by the kinematic analysis are expected to be tested in future experiments.