Double beta decay transition mechanism

After briefly reviewing $ββ$ decay as a test of the neutrino mass, I examine the nuclear structure involved in this process. Simple formulas (à la Padé) are designed for the transition amplitudes and the general behavior of $ββ$ decay amplitudes in the quasiparticle random phase approximation are discussed. Results of a calculation for $^{48}Ca$, $^{76}Ge$, $^{82}Se$, $^{100}Mo$, $^{128}Te$ and $^{130}Te$ nuclei are presented, in which the particle-particle interaction strengths have been fixed by invoking the partial restoration of the isospin and Wigner SU(4) symmetries. An upper limit of $<m_ν>\approx 1$ eV is obtained for the effective neutrino mass.

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