Correlations between the quadrupole deformation, B(E2; 01 → 21) value, and total GT+ strength

D. Troltenier, Louisiana State University
J. P. Draayer, Louisiana State University
J. G. Hirsch, Centro de Investigacion y de Estudios Avanzados


This study investigates the effect of four interactions on the ground-state quadrupole deformation, (β, γ); B(E2; 01 → 21) value; and total Gamow-Teller transition strength, GT+. Three of the four terms are typical of a SU(3) theory, namely, the second- and third-order SU(3) Casimir invariants, C2 and C3, which act as multiples of the identity within representations of SU(3), and the quadrupole-quadrupole interaction which generates intra-representation splitting. The fourth is monopole pairing which generates inter-representation mixing. It is found that changes in β track those in B(E2; 01 → 21) while the total Gamow-Teller transition strength follows the γ degree of freedom, with the latter two quantities anti-correlated with the former two. These correlations are representative of what is expected for heavy deformed nuclei when described in the pseudo-SU(3) model.