  Recently we extended the standard model by four TeV-scale fields including a
singlet fermion, an isotriplet and two isosinglet diquark scalars to generate
the cosmological baryon asymmetry with an observable neutron-antineutron
oscillation. We now supersymmetrize our model but do not constrain it at the
TeV scale. The superpartner of the singlet fermion can serve as an inflaton
field. Its three-body decays, mediated by the isosinglet diquarks and their
superpartners, can simultaneously provide a low reheating temperature and a
sizable CP asymmetry. We thus can realize a nonthermal baryogenesis without the
gravitino problem. Meanwhile, we can have a testable neutron-antineutron
oscillation induced by the exchange of one isosinglet and two isotriplet
diquarks if the isotriplet diquark is at the TeV scale.
