Double beta decay transition mechanism

Details Double beta decay transition mechanism Double beta decay transition mechanism

1994-03-28

arxiv.org/abs/nucl-th/9403018v1

Physics

Nuclear Physics

Nuclear Theory

LaTeX and 5 figures, talk given at the `XVII Symposium on Nuclear Physics', Oaxtepec, Mexico, 4-7 January 1994. LaTeX source m

Scientific paper

After briefly reviewing $\beta \beta$ decay as a test of the neutrino mass, I examine the nuclear structure involved in this process. Simple formulas (\`{a} la Pad\'{e}) are designed for the transition amplitudes and the general behavior of $\beta \beta$ 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 $ \approx 1$ eV is obtained for the effective neutrino mass.

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