We perform calculations for $M1\mathrm{}$ transitions and allowed Gamow-Teller (GT) transitions in the even-even titanium isotopes—${}^{44}\mathrm{Ti},$ ${}^{46}\mathrm{Ti},$ and ${}^{48}\mathrm{Ti}.$ We start with the FPD6 interaction. To study the effect of the $T=0\mathrm{}$ two-body matrix elements on the $M1\mathrm{}$ and GT rates we introduce a second interaction in which all the $T=0\mathrm{}$ two-body matrix elements are set equal to zero (A) and a third in which all the $T=0\mathrm{}$ two-body matrix elements (B) are set to a constant. For these two interactions the $T=1\mathrm{}$ matrix elements are the same as for FPD6. We are thus able to study the effects of the fluctuating $T=0\mathrm{}$ matrix elements on $M1\mathrm{}$ 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 $T=0\mathrm{}$ interaction than are the spectra of low-lying states of even-even nuclei.

• Received 18 March 2002

DOI:https://doi.org/10.1103/PhysRevC.66.034303