First-forbidden \(\Delta J=0\), \(\pm 2\) \(\beta \)-decays Within a Self-consistent Effective Potential

The first-forbidden \(\Delta J=0\), \(\pm 2\) transitions are analyzed by using a self-consistent effective potential within the framework of proton–neutron quasi-particle random phase approximation (<span class="it">pn</span>-QRPA) method. The self-consistency arises from the fact that the particle–hole and particle–particle strength parameters can be found analytically within the present approximation. The beta (\(\beta \)) decay matrix elements and log\(ft\) values are computed and compared with the corresponding experimental data. The present approximation is usually successful in reproducing the experimental data. Abstract Published by the Jagiellonian University 2025 authors