Microscopic Analysis of Nuclear Quantum Phase Transitions in the N=90 region

Abstract

The analysis of shape transitions in Nd isotopes, based on the framework of relativistic energy density functionals and restricted to axially symmetric shapes in Ref. \cite{PRL99}, is extended to the region $Z=60$, 62, 64 with $N\approx 90$, and includes both $\beta$ and $\gamma$ deformations. Collective excitation spectra and transition probabilities are calculated starting from a five-dimensional Hamiltonian for quadrupole vibrational and rotational degrees of freedom, with parameters determined by constrained self-consistent relativistic mean-field calculations for triaxial shapes. The results reproduce available data, and show that there is an abrupt change of structure at N=90 that can be approximately characterized by the X(5) analytic solution at the critical point of the first-order quantum phase transition between spherical and axially deformed shapes.

37 pages, 15 figures, 1 table, accepted for publication in Phys. Rev. C

References in corpus (8)

• Quantum phase transitions in the interacting boson model
• Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions
• Configuration mixing of angular-momentum and particle-number projected triaxial HFB states using the Skyrme energy density functional
• Microscopic description of nuclear quantum phase transitions
• E(5), X(5), and Prolate to Oblate Shape Phase Transitions in Relativistic Hartree Bogoliubov Theory
• Simple, empirical order parameter for a first order quantum phase transition in atomic nuclei
• E(5) and X(5) shape phase transitions within a Skyrme Hartree-Fock + BCS approach
• A beyond mean field analysis of the shape transition in the Neodymium isotopes

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