E(5), X(5), and Prolate to Oblate Shape Phase Transitions in Relativistic Hartree Bogoliubov Theory

Abstract

Relativistic mean field theory with the NL3 force is used for producing potential energy surfaces (PES) for series of isotopes suggested as exhibiting critical point symmetries. Relatively flat PES are obtained for nuclei showing the E(5) symmetry, while in nuclei corresponding to the X(5) case, PES with a bump are obtained. The PES corresponding to the Pt chain of isotopes suggest a transition from prolate to oblate shapes at 186-Pt.

arXiv comment21 pages, LaTeX, including 14 .eps figures

References in corpus (13)

• A New Parameterization for the Lagrangian Density of Relativistic Mean Field Theory
• Configuration mixing of angular momentum projected self-consistent mean-field states for neutron-deficient Pb isotopes
• Ground-state properties of deformed proton emitters in the relativistic Hartree-Bogoliubov model
• A computationally tractable version of the collective model
• Effects of beta-gamma coupling in transitional nuclei and the validity of the approximate separation of variables
• Sequence of Potentials Lying Between the U(5) and X(5) Symmetries
• Sequence of Potentials Interpolating between the U(5) and E(5) Symmetries
• Ground State Bands of the E(5) and X(5) Critical Symmetries Obtained from Davidson Potentials through a Variational Procedure
• First order shape transition and critical point nuclei in Sm isotopes from relativistic mean field approach
• The U(5)-O(6) transition in the Interacting Boson Model and the E(5) critical point symmetry
• A test of X(5) for the gamma degree of freedom
• E(5) and X(5) critical point symmetries obtained from Davidson potentials through a variational procedure
• The ${\beta }^4$ potential at the U(5)-O(6) critical point of the Interacting Boson Model

Cited by in corpus (27)

• Microscopic Analysis of Nuclear Quantum Phase Transitions in the N=90 region
• Role of triaxiality in the ground state shape of neutron rich Yb, Hf, W, Os, and Pt isotopes
• Microscopic description of nuclear quantum phase transitions
• Shape transitions in neutron-rich Yb, Hf, W, Os, and Pt isotopes within a Skyrme Hartree-Fock + BCS approach
• Microscopic Description of Spherical to Gamma-Soft Shape Transitions in Ba and Xe Nuclei
• Mean field study of structural changes in Pt isotopes with the Gogny interaction
• Exactly separable version of the Bohr Hamiltonian with the Davidson potential
• Nuclear shape coexistence: A study of the even-even Hg isotopes using the interacting boson model with configuration mixing
• 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
• Shape evolution and shape coexistence in Pt isotopes: comparing interacting boson model configuration mixing and Gogny mean-field energy surfaces
• The Pt isotopes: comparing the Interacting Boson Model with Configuration Mixing and the Extended Consistent-Q formalism
• E(5) and X(5) shape phase transitions within a Skyrme Hartree-Fock + BCS approach
• Octupole degree of freedom for the critical-point candidate nucleus ${}^{152}$Sm in a reflection-asymmetric relativistic mean-field approach
• A beyond mean field analysis of the shape transition in the Neodymium isotopes
• Rotation-driven prolate-to-oblate shape phase transition in 190W: A projected shell model study
• Description of the isotope chain ${}^{180-196}$Pt within some solvable approaches
• Microscopic description of structural evolution in Pd, Xe, Ba, Nd, Sm, Gd and Dy isotopes
• New features of the triaxial nuclei described with a coherent state model
• Exploring the Nuclear Shape Phase Transition in Ultra-Relativistic ${}^{129}$Xe+${}^{129}$Xe Collisions at the LHC
• Empirical physical formula for potential energy curves of 38-66Ti isotopes by using neural networks
• Low-lying states in even Gd isotopes studied with five-dimensional collective Hamiltonian based on covariant density functional theory
• A Study on Shape of Te Isotopes in Mean Field Formalism
• Properties of N=90 Isotones within the Mean Field Perspective
• Microscopic Investigation of Ground State Properties and Shape Evolution in Osmium Isotopes
• Interplay of quadrupole and octupole degrees of freedom in the Gd isotopes