Analytic predictions for nuclear shapes, the prolate dominance and the prolate-oblate shape transition in the proxy-SU(3) model

Abstract

Using a new approximate analytic parameter-free proxy-SU(3) scheme, we make simple predictions of shape observables for deformed nuclei, namely gamma and beta deformation variables, the global feature of prolate dominance and the locus of the prolate-oblate shape transition. The predictions are compared with empirical results.

14 pages, 6 figures, 4 tables

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• Shape transitions in neutron-rich Yb, Hf, W, Os, and Pt isotopes within a Skyrme Hartree-Fock + BCS approach
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Cited by in corpus (25)

• Proxy-SU(3) symmetry in heavy deformed nuclei
• 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
• Islands of shape coexistence from single-particle spectra in covariant density functional theory
• 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
• Signatures for shape coexistence and shape/phase transitions in even-even nuclei
• Islands of shape coexistence: theoretical predictions and experimental evidence
• Triaxial rotor modes in finite-N boson systems
• Prolate-oblate asymmetric shape phase transition in the interacting boson model with SU (3) higher-order interactions
• B(E2) anomaly and triaxial deformation in the interacting boson model
• Derivation of the Grodzins relation in collective nuclear model
• Multiple $SU(3)$ algebras in interacting boson model and shell model: Results for $(\beta ,\gamma$) bands and scissors $1^{+}$ band
• B(E2) anomaly and triaxial deformation within a two-fluid SU(3) symmetry
• Proxy-$SU(4)$ symmetry in A=60-90 region
• Understanding Xe isotopes near $A=130$ through the prolate-oblate shape phase transition
• Prolate dominance and prolate-oblate shape transition in the proxy-SU(3) model
• Quadrupole-Octupole Residual Interaction in the Proxy-$SU(3)$ Scheme
• Parameter-independent predictions for shape variables of heavy deformed nuclei in the proxy-SU(3) model
• A symmetry for heavy nuclei: Proxy-SU(3)
• Proxy-SU(3) symmetry in heavy nuclei: Foundations
• Inter-band B(E1) Strengths in Heavy Nuclei based on the Proxy-SU(3) Scheme
• Connection between Elliott SU(3) and spherical shell model bases