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We employ the simplest possible models of scalar-fermion interactions thatare consistent with the gauge symmetries of the Standard Model and permit noproton decay to analyze the connections possible among processes that breakbaryon number by two units. In this context we show how the observation of$n$-${\bar n}$ oscillations and of a pattern of particular nucleon-antinucleonconversion processes --- all accessible through e-d scattering --- namely,selecting from $e^- p \to e^+ {\bar p}$, $e^- p \to {\bar n} {\bar \nu}$, $e^-n \to {\bar p} {\bar \nu}$, and $e^- n \to e^- {\bar n} $ would reveal that thedecay $\pi^- \pi^- \to e^- e^-$ must occur also. This latter process is theleading contribution to neutrinoless double beta decay in nuclei mediated bynew short-distance physics, in contrast to that mediated by light Majorananeutrino exchange. The inferred existence of $\pi^- \pi^- \to e^- e^-$ wouldalso reveal the Majorana nature of the neutrino, though the absence of thisinference would not preclude it.

Processes that break baryon number by two units and the Majorana nature of the neutrino