The study of charge-exchange collective excitations in odd mass nuclei by pyatov method

In this thesis, the violated commutation condition between the total shell model Hamiltonian and Gamow Teller operator (GT) has been restored by Pyatov method (PM). An additional effective interaction term ( ) coming from this restoration contributes to the total Hamiltonian. The beta decay process in even mass and odd mass nuclei has been searched by considering the GT effective interactions in the ph and pp channels. Those processes include the energy distribution of GT transition strength and GT resonances in the mass region of the two neutrino double beta decay in even-even nuclei, and the ?? transition properties in odd mass nuclei. The obtained results have been compared with the corresponding experimental data and the other calculation results. Calculation results show that the restoration of the violated super symmetry property of the mentioned part in shell model potential is important.