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

Sterile neutrinos in $\Lambda_b^0\to (\Lambda_c^+,p^+)\ell^-_1\ell^-_2\ell^+_3\nu$ decays