Prolate over oblate dominance in deformed nuclei as a consequence of the SU(3) symmetry and the Pauli principle

Abstract

We show that the dominance of prolate over oblate shapes in even-even deformed nuclei can be derived from the SU(3) symmetry and the Pauli principle.

2 pages

References in corpus (2)

• Role of triaxiality in the ground state shape of neutron rich Yb, Hf, W, Os, and Pt isotopes
• Shape transitions in neutron-rich Yb, Hf, W, Os, and Pt isotopes within a Skyrme Hartree-Fock + BCS approach

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• Parameter-free predictions for the collective deformation variables beta and gamma within the pseudo-SU(3) scheme
• Why nuclear forces favor the highest weight irreducible representations of the fermionic SU(3) symmetry
• Connecting the proxy-SU(3) symmetry to the shell model
• Highest weight irreducible representations favored by nuclear forces within SU(3)-symmetric fermionic systems
• Contribution of $SU(3)$ quadratic Casimir squared to rotational bands in the interacting boson model