A derivation of the neutrinoless double beta decay rate, specially adapted for nuclear structure calculations, is presented. It is shown that the Fourier-Bessel expansion of the hadronic currents, jointly with angular momentum recoupling, leads to very simple final expressions for the nuclear form f
Nuclear moments for the neutrinoless double beta decay II
✍ Scribed by C. Barbero; F. Krmpotić; A. Mariano; D. Tadić
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 594 KB
- Volume
- 650
- Category
- Article
- ISSN
- 0375-9474
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✦ Synopsis
The recently developed formalism for the evaluation of nuclear form factors in neutrinoless double beta decay is applied to 48Ca, 76Ge, 82Se, l°°Mo, 128Te and ~3°Te nuclei. Explicit analytical expressions that follows from this theoretical development, in the single-mode model for the decay of 48Ca, 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 8-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.
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The standard model of the electroweak and strong interaction does not allow neutrinoless double beta decay but it is allowed in most Grand Unified Theories (GUT's). The neutrino must be a Majorana particle (identical with its antiparticle) and must have such a mass as to allow the neutrinoless doubl
Once neutrinoless double beta decay is discovered, the question which mechanism triggers the decay becomes crucial for drawing any conclusion about the concrete physics underlying the process, like the neutrino Majorana mass. For example, in the minimal supersymmetric extension with R-parity violati