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.

arXiv comment2 pages

References in corpus (6)

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Cited by in corpus (11)

• The islands of shape coexistence within the Elliott and the proxy-SU(3) Models
• Shape coexistence in even-even nuclei: A theoretical overview
• The proxy-SU(3) symmetry in atomic nuclei
• Proxy-SU(3) symmetry in the shell model basis
• 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
• Proxy-SU(3): A symmetry for heavy nuclei
• Foundations of the proxy-SU(3) symmetry in heavy nuclei
• 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