Approximate symmetries in nuclei and the $2\nu \beta \beta$-decay rate

Abstract

A nonstandard method for calculating the nuclear $2\nu \beta \beta$ - decay amplitude is proposed. The method is based on the explicit use of those approximate symmetries of a nuclear hamiltonian, which correspond to the operators of allowed $\beta$ -- transitions. Within the framework of the proposed method the mentioned amplitude is calculated for a wide range of nuclei. The model parameters used in calculations are taken from independent data. Calculated \bb half-lifes are compared with known experimental data.

LaTeX, 10 pages