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We consider effects of $n-\bar n$ oscillations and resultant matterinstability due to dinucleons decays. We point out that existing upper boundson the rates for the dinucleon decays $nn \to 2\pi^0$, $nn \to \pi^+\pi^-$, and$np \to \pi^+\pi^0$ imply upper bounds on the rates for dinucleon decays todileptons $nn \to e^+ e^-$, $nn \to \mu^+\mu^-$, $nn \to \nu_\ell\bar\nu_\ell$, and $np \to \ell^+ \nu_\ell$, where $\ell=e, \ \mu, \ \tau$. Wepresent estimates for these upper bounds. Our bounds are substantially strongerthan corresponding limits from direct searches.

Improved Upper Limits on Baryon-Number Violating Dinucleon Decays to Dileptons