Effects of beta-gamma coupling in transitional nuclei and the validity of the approximate separation of variables

Abstract

Exact numerical diagonalization is carried out for the Bohr Hamiltonian with a beta-soft, axially stabilized potential. Wave function and observable properties are found to be dominated by strong beta-gamma coupling effects. The validity of the approximate separation of variables introduced with the X(5) model, extensively applied in recent analyses of axially stabilized transitional nuclei, is examined, and the reasons for its breakdown are analyzed.

arXiv commentLaTeX (RevTeX), 12 pages, to be published in Phys. Rev. C

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• Analytic descriptions for transitional nuclei near the critical point
• Analytical solutions of the Bohr Hamiltonian with the Morse potential
• Microscopic Analysis of Order Parameters in Nuclear Quantum Phase Transitions
• Nuclear collective motion with a coherent coupling interaction between quadrupole and octupole modes
• Solution of the Bohr hamiltonian for soft triaxial nuclei
• Exact diagonalization of the Bohr Hamiltonian for rotational nuclei: Dynamical gamma softness and triaxiality
• N=90 region: The decays of {152m,g}Eu to 152Sm
• Octupole deformation in light actinides within an analytic quadrupole octupole axially symmetric model with Davidson potential
• Exactly separable version of X(5) and related models
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• Phonon and multi-phonon excitations in rotational nuclei by exact diagonalization of the Bohr Hamiltonian
• Gamma-soft Analog of the Confined Beta-soft Rotor Model
• Solvable models for the gamma deformation having X(5) as limiting symmetry. Removing some drawbacks of the existent descriptions
• Semiclassical unified description of wobbling motion in even-even and even-odd nuclei
• New features of the triaxial nuclei described with a coherent state model
• Description of shape coexistence in ${}^{96}$Zr based on the collective quadrupole Bohr Hamiltonian
• Effective theory for the non-rigid rotor in an electromagnetic field: Toward accurate and precise calculations of E2 transitions in deformed nuclei
• Conjunction of $\gamma$-rigid and $\gamma$-stable collective motion in the critical point of the phase transition from spherical to deformed nuclear shapes
• Shape phase mixing in critical point nuclei
• Competing $\gamma$-rigid and $\gamma$-stable vibrations in neutron rich Gd and Dy isotopes
• Connecting the X(5)-${\beta }^2$, X(5)-${\beta }^4$, and X(3) models to the shape/phase transition region of the interacting boson model
• Rotational constants of multi-phonon bands in an effective theory for deformed nuclei
• The quadrupole collective model from a Cartan-Weyl perspective
• Relationship between X(5)-models and the interacting boson model