$U$-spin conjugate $CP$ violation relations in bottom baryon decays

Motivated by the first observation of $CP$ violation in baryon decays, we study the relations for $CP$ asymmetries of bottom baryon decays. It is found that all the $CP$ violation ratios of two $U$-spin conjugate decay channels satisfy a simple equation in the $U$-spin limit. As examples, we present the $U$-spin conjugate channels in the four-body decays of bottom baryons. The $CP$ violation ratios between them might provide predictions for unobserved channels and be tested in future experiments.