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We consider the possibility of several different mechanisms contributing tothe $\betabeta$-decay amplitude in the general case of CP nonconservation:light Majorana neutrino exchange, heavy left-handed (LH) and heavy right-handed(RH) Majorana neutrino exchanges, lepton charge non-conserving couplings inSUSY theories with R-parity breaking. If the $\betabeta$-decay is induced by,e.g., two "non-interfering" mechanisms, one can determine $|\eta_i|^2$ and$|\eta_j|^2$, $\eta_i$ and $\eta_j$ being the two fundamental parameterscharacterising these mechanisms, from data on the half-lives of two nuclearisotopes. In the case when two "interfering" mechanisms are responsible for the$\betabeta$-decay, $|\eta_i|^2$ and $|\eta_j|^2$ and the interference term canbe uniquely determined, in principle, from data on the half-lives of threenuclei. Given the half-life of one isotope, the "positivity conditions"$|\eta_i|^2\geq 0$ and $|\eta_j|^2\geq 0$ lead to stringent constraints on thehalf-lives of the other $\betabeta$-decaying isotopes. These conditions, aswell as the conditions for constructive (destructive) interference are derivedand their implications are analysed in two specific cases. The methodconsidered by us can be generalised to the case of more than two$\betabeta$-decay mechanisms. It allows to treat the cases of CP conserving andCP nonconserving couplings generating the $\betabeta$-decay in a unique way.

Uncovering Multiple CP-Nonconserving Mechanisms of $\betabeta$-Decay