The investigation of the 2v beta beta decay by Pyatov method within quasiparticle random phase approximation formalism

The violated commutation condition between the total shell model Hamiltonian and Gamow-Teller operator (GT) has been restored by Pyatov method (PM). The considered nuclear model Hamiltonian in PM includes the separable GT residual interaction in ph and pp channels and is differentiated from the traditional schematic model by h(0) (restoration term). The influence of the h(0) effective interaction on the 2 v 3 3 decay of Ca-48, Ge-76, Se-82, Zr-96, Mo-100, Cd-116, Te-128,Te-130 and Xe-136 is investigated. All the calculations have been done within the framework of standard QRPA. The results obtained by PM are compared with those of other approaches and experimental data. The influence of the restoration term on the stability of the 2v beta beta decay nuclear matrix elements is analysed.