Inter-band B(E1) Strengths in Heavy Nuclei based on the Proxy-SU(3) Scheme

Abstract

Rotational bands of positive and negative parity are frequently found experimentally in heavy deformed even-even nuclei along with their corresponding $E2$ intra-band and $E1$ inter-band transitions. In $SU(3)$ symmetry-based models, calculating the $B(E2)$ strengths is relatively straightforward due to the relation between the $E2$ operator and the quadrupole generator of the algebra. However, calculating the $B(E1)$ strengths is a more difficult task, requiring computations involving the shell-model expansion of the dipole operator and multi-shell matrix elements. In this work the $E1$ operator is expanded in $SU(3)$ second quantization and applied to calculate the inter-band $B(E1)$ strengths of the isotope ${}^{224}$Th using the semi-microscopic algebraic quartet model (SAQM) based on the recently proposed proxy-$SU(3)$ scheme.

9 pages, 3 figures. Wigner-Eckart theorem normalization factor corrected. Typo in phase of equations of appendix B. Black and white format friendly graphics

References in corpus (6)

• Analytic predictions for nuclear shapes, the prolate dominance and the prolate-oblate shape transition in the proxy-SU(3) model
• Proxy-SU(3) symmetry in heavy deformed nuclei
• Description of nuclear octupole and quadrupole deformation close to the axial symmetry: Critical-point behavior of 224Ra and 224Th
• Algebraic models for shell-like quarteting of nucleons
• The proxy-SU(3) symmetry in atomic nuclei
• Proxy-SU(3) symmetry in the shell model basis