Effects of T=0 two body matrix elements on M1 and Gamow-Teller transitions: isospin decomposition

Abstract

We perform calculations for M1 transitions and allowed Gamow Teller (GT) transitions in the even-even Titanium isotopes - ${}^{44}$Ti, ${}^{46}$Ti, and ${}^{48}$Ti. We first do calculations with the FPD6 interaction. Then to study the effect of T=0 matrix elements on the M1 and GT rates we introduce a second interaction in which all the T=0 matrix elements are set equal to zero and a third in which all the T=0 matrix elements are set to a constant. For the latter two interactions the T=1 matrix elements are the same as for FPD6. We are thus able to study the effects of the fluctuating T=0 matrix elements on M1 and GT rates.

References in corpus (3)

• Nuclear Pairing in the T=0 channel revisited
• Degeneracies when T=0 Two Body Matrix Elements are Set Equal to Zero and Regge's 6j Symmetry Relations
• Degeneracies when T=0 Two Body Interacting Matrix Elements are Set Equal to Zero : Talmi's method of calculating coefficients of fractional parentage to states forbidden by the Pauli principle

Cited by in corpus (7)

• Charge exchange operators sum rules and proton-neutron T=0 and T=1 pairing interactions
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• Effect of isoscalar spin-triplet pairings on spin-isospin responses in $sd-$ shell nuclei
• Isoscalar and Isovector spin response in $sd-$ shell nuclei
• Full major-shell calculation for states that were degenerate in a single-j-shell calculation
• Unfolding the Effects of the T=0 and T=1 Parts of the Two-Body Interaction on Nuclear Collectivity in the f-p Shell