Physics – Nuclear Physics – Nuclear Theory
Scientific paper
1999-02-17
Nucl.Phys. A650 (1999) 485-497
Physics
Nuclear Physics
Nuclear Theory
18 pages, latex, minor changes, to appear in Nucl. Phys. A
Scientific paper
10.1016/S0375-9474(99)00127-X
The recently developed formalism for the evaluation of nuclear form factors in neutrinoless double beta decay is applied to $^{48}Ca$, $^{76}Ge$, $^{82}Se$, $^{100}Mo$, $^{128}Te$ and $^{130}Te$ nuclei. Explicit analytical expressions that follows from this theoretical development, in the single mode model for the decay of $^{48}Ca$, have been worked out. They are useful both for testing the full numerical calculations, and for analytically checking the consistency with other formalisms. Large configuration space calculations are compared with previous studies, where alternative formulations were used. Yet, besides using the G-matrix as residual interaction, we here use a simple $\delta$-force. Attention is paid to the connected effects of the short range nuclear correlations and the finite nucleon size. Constraints on lepton number violating terms in the weak Hamiltonian (effective neutrino Majorana mass and effective right-handed current coupling strengths) are deduced.
Barbero Cesar
Krmpotic Francisco
Mariano Albert
Tadić Dubravko
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