Calculating Gamow-Teller and Fermi Strength Function Using Two-Particle Two-Hole

In this study, we investigated the transitions of all types of beta decays using the two-particle and two-hole techniques. Specifically, we calculated the binding energy for Fermi decay and Gamow-Teller transitions by applying this technique to several intermediate isotopes. This involved calculating the transition forces and matrix elements for both Gamow-Teller and Fermi. These calculations were crucial for determining the half-life values of these isotopes and comparing them with existing experimental values. Our results demonstrate a significant agreement between the theoretical and experimental outcomes. Hence, we obtain the reduced amplitudes and the log ft factor and the half-lives of the decay. Beta b - and beta b +/EC transitions from light to medium nuclei. The nuclei are 6He, 18Ne, 18F, and 42Sc.