• The investigation of the $2\nu\beta\beta$ decay by Pyatov method within quasiparticle random phase approximation formalism

• # Fulltext

https://www.ias.ac.in/article/fulltext/pram/071/03/0521-0528

• # Keywords

Pyatov method; Gamow–Teller; quasiparticle random phase approximation; $2\nu\beta\beta$.

• # Abstract

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 h0 effective interaction on the $2\nu\beta\beta$ decay of 48Ca, 76Ge, 82Se, 96Zr, 100Mo, 116Cd, 128,130Te and 136Xe 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 $2\nu\beta\beta$ decay nuclear matrix elements is analysed.

• # Author Affiliations

1. Department of Physics, Anadolu University, Eskisehir, Turkey
2. Department of Physics, Celal Bayar University, Manisa, Turkey

• # Pramana – Journal of Physics

Current Issue
Volume 93 | Issue 6
December 2019

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