SU(3) symmetry breaking in lower fp-shell nuclei

Abstract

Results of shell-model calculations for lower fp-shell nuclei show that SU(3) symmetry breaking in this region is driven by the single-particle spin-orbit splitting. However, even though states of the yrast band exhibit SU(3) symmetry breaking, the results also show that the yrast band B(E2) values are insensitive to this fragmentation of the SU(3) symmetry; specifically, the quadrupole collectivity as measured by B(E2) transition strengths between low lying members of the yrast band remain high even though SU(3) appears to be broken. Results for ${}^{44,46,48}Ti$ and ${}^{48}Cr$ using the Kuo-Brown-3 two-body interaction are given to illustrate these observations.

Updated to the published version

References in corpus (1)

• SU(3) quasi-dynamical symmetry as an organizational mechanism for generating nuclear rotational motions

Cited by in corpus (14)

• Confined One Dimensional Harmonic Oscillator as a Two-Mode System
• Solution of large scale nuclear structure problems by wave function factorization
• Spin-orbit decomposition of ab initio wavefunctions
• Probing ab initio emergence of nuclear rotation
• Behavior of shell-model configuration moments
• The Cranked Nilsson-Strutinsky versus the Spherical Shell Model: A Comparative Study of pf-Shell Nuclei
• Rotational bands beyond the Elliott model
• Quasidynamical symmetries in the backbending of chromium isotopes
• Symmetry and shape coexistence in 10Be
• Unmixing symmetries
• SU(3) versus deformed Hartree-Fock
• Mixed-Symmetry Shell-Model Calculations
• Role of spin-isospin symmetries in nuclear $\beta$-decays
• Richardson-Gaudin Algebras and the Exact Solutions of the Proton-Neutron Pairing