Sterile neutrinos in Λb0→(Λc+,p+)ℓ1−ℓ2−ℓ3+ν decays

We study lepton number violating and conserving semi-leptonic decays of heavy baryons $\Lambda_b^0$ to three charged leptons a neutrino. The occur through two intermediate quasi-degenerate GeV-scale sterile neutrinos either Majorana or Dirac type that can be on-shell. Interference between the leads CP violation in final states. Effect neutrino oscillations states are also considered observables interests, \emph{i.e.,} branching ratio, CP-asymmetry. Given present constraints on heavy-to-light mixing elements $|V_{eN}|$ $|V_{\mu N}|$, CP-averaged ratio $\Lambda_b^0\to (\Lambda_c,p)\mu\mu e\nu$ with is almost orders magnitude larger than for same neutrinos, whereas, (\Lambda_c,p)ee\mu\nu$ order both induced decays. CP-violation found appreciable when mass difference comparable average decay widths.