Effects of [Formula Presented] two body matrix elements on [Formula Presented] and Gamow-Teller transitions: Isospin decomposition

We perform calculations for [Formula Presented] transitions and allowed Gamow-Teller (GT) transitions in the even-even titanium isotopes—[Formula Presented] and [Formula Presented] We start with the FPD6 interaction. To study the effect of the [Formula Presented] two-body matrix elements on the [Formula Presented] and GT rates we introduce a second interaction in which all the [Formula Presented] two-body matrix elements are set equal to zero (A) and a third in which all the [Formula Presented] two-body matrix elements (B) are set to a constant. For these two interactions the [Formula Presented] matrix elements are the same as for FPD6. We are thus able to study the effects of the fluctuating [Formula Presented] matrix elements on [Formula Presented] and GT rates with interactions A and B, and comparing them with the results of using the full FPD6 interaction (C). We find that transition rates are much more sensitive to the details of the [Formula Presented] interaction than are the spectra of low-lying states of even-even nuclei.