Mixed Symmetry Nuclear Shell Model
J. P. Draayer, V. G. Gueorguiev, Feng Pan, Yanan Luo
Abstract
A mixed-symmetry nuclear shell-model scheme for carrying out calculations in regimes where there is a competition between two or more modes is proposed. A one-dimensional toy model is used to demonstrate the concept. The theory is then applied to 24Mg and 44Ti. For lower pf-shell nuclei such as 44-48Ti and 48Cr there is strong SU(3) symmetry breaking due to the spin-orbit interaction. However, the quadrupole collectivity as measured by B(E2) transition strengths in the yrast band remain high even though SU(3) appears to be broken. Some results for the so-called X(5) symmetry that falls along the U(5) SU(3) leg of the Interacting Boson Model are also considered. The results show that the mixed-symmetry concept is effective, even when strong symmetry breaking occurs.
Create a lesson
Related papers
Constrained Hamiltonian Formulation of Kinetic Theory for Relativistic Spin-1/2 Particles
Jie Zhou, Ying Shan Zhao, Yifeng Sun
Chiral invariant mass and scale symmetry in dense matter from a dilaton compensated parity doublet model
Yao Ma, Bikai Gao, Masayasu Harada et al.
Linking chiral nuclear forces to light-ion collisions: a global sensitivity analysis
Thomas Duguet, Andreas Ekström, Giuliano Giacalone et al.
Comparison of Methods for Extracting Three-Dimensional Lévy Source Parameters in sNN = 200 GeV Au+Au Collisions with EPOS3
Máté Szilágyi, Máté Csanád, Dániel Kincses
Manifestation of scale symmetry in nuclear medium
Yong-Liang Ma
Wigner distribution modeling of nuclear state in NuWro Monte Carlo event generator
Rwik Dharmapal Banerjee, Alexis Nikolakopoulos, Jan T. Sobczyk et al.