The beta-beta two neutrino decay in 48Ca

Details The beta-beta two neutrino decay in 48Ca The beta-beta two neutrino decay in 48Ca

2000-11-17

arxiv.org/abs/nucl-th/0011060v2

Phys.Rev. C63 (2001) 055503

Physics

Nuclear Physics

Nuclear Theory

24 pages, 5 figures

Scientific paper

10.1103/PhysRevC.63.055503

A schematic study of the $\beta \beta 2\nu $-decay of $^{48}Ca$ is made in a shell-model approach. The emphasis is especially put on the role of the spin-orbit potential in relation with the contribution of other terms in the strong interaction. This is discussed with a particular attention to the behavior of these ones under the SU(4) symmetry. Different methods in calculating the transition amplitude are also looked at with the aim to determine their reliability and, eventually, why they don't work. Further aspects relative to the failure of the Operator Expansion Method to reproduce the results of more elaborate calculations are examined.

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