Microscopic description of nuclear quantum phase transitions
arXiv:0707.3089 · doi:10.1103/PhysRevLett.99.092502
Abstract
The relativistic mean-field framework, extended to include correlations related to restoration of broken symmetries and to fluctuations of the quadrupole deformation, is applied to a study of shape transitions in Nd isotopes. It is demonstrated that the microscopic self-consistent approach, based on global effective interactions, can describe not only general features of transitions between spherical and deformed nuclei, but also the singular properties of excitation spectra and transition rates at the critical point of quantum shape phase transition.
10 pages, 4 figures, accepted for publication in Physical Review Letters
References in corpus (7)
- Nuclear Ground State Observables and QCD Scaling in a Refined Relativistic Point Coupling Model
- X(3): An Exactly Separable Gamma-Rigid Version of the X(5) Critical Point Symmetry
- Beyond the relativistic mean-field approximation (II): configuration mixing of mean-field wave functions projected on angular momentum and particle number
- Beyond the relativistic mean-field approximation: configuration mixing of angular momentum projected wave functions
- E(5), X(5), and Prolate to Oblate Shape Phase Transitions in Relativistic Hartree Bogoliubov Theory
- First order shape transition and critical point nuclei in Sm isotopes from relativistic mean field approach
- First-Order Quantum Phase Transition in a Finite System
Cited by in corpus (46)
- Relativistic Nuclear Energy Density Functionals: Mean-Field and Beyond
- Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
- Global performance of covariant energy density functionals: ground state observables of even-even nuclei and the estimate of theoretical uncertainties
- Beyond the relativistic mean-field approximation (III): collective Hamiltonian in five dimensions
- Triaxial Angular Momentum Projection and Configuration Mixing calculations with the Gogny force
- Configuration mixing of angular-momentum projected triaxial relativistic mean-field wave functions
- Microscopic Analysis of Nuclear Quantum Phase Transitions in the N=90 region
- Systematic study of nuclear matrix elements in neutrinoless double-beta decay with a beyond mean-field covariant density functional theory
- Symmetry restoration in mean-field approaches
- Microscopic Description of Spherical to Gamma-Soft Shape Transitions in Ba and Xe Nuclei
- Relativistic description of nuclear matrix elements in neutrinoless double- decay
- Analytical solutions of the Bohr Hamiltonian with the Morse potential
- Simultaneous quadrupole and octupole shape phase transitions in Thorium
- State-of-the-art of beyond mean field theories with nuclear density functionals
- Robust Regularity in γ-Soft Nuclei and its Microscopic Realization
- Microscopic description of large-amplitude shape-mixing dynamics with inertial functions derived in local quasiparticle random-phase approximation
- Rotating deformed halo nuclei and shape decoupling effects
- Microscopic Analysis of Order Parameters in Nuclear Quantum Phase Transitions
- Coexistence of nuclear shapes: self-consistent mean-field and beyond
- Intertwined Quantum Phase Transitions in the Zr Isotopes
- Octupole degree of freedom for the critical-point candidate nucleus Sm in a reflection-asymmetric relativistic mean-field approach
- Shape coexistence in even-even nuclei: A theoretical overview
- Continuum Random Phase Approximation for Relativistic Point Coupling Models
- A beyond mean field analysis of the shape transition in the Neodymium isotopes
- Shape-phase transitions in odd-mass -soft nuclei with mass
- Nuclear quantum shape-phase transitions in odd-mass systems
- Angular momentum projection in the deformed relativistic Hartree-Bogoliubov theory in continuum
- Octupole correlations in low-lying states of 150Nd and 150Sm and their impact on neutrinoless double-beta decay
- Signatures of shape phase transitions in odd-mass nuclei
- Islands of shape coexistence from single-particle spectra in covariant density functional theory
- Chiral geometry and rotational structure for Cs in the projected shell model
- Quadrupole Collective Dynamics from Energy Density Functionals: Collective Hamiltonian and the Interacting Boson Model
- Microscopic description of structural evolution in Pd, Xe, Ba, Nd, Sm, Gd and Dy isotopes
- Unified description of 0+ states in a large class of nuclear collective models
- Evolution of E2 transition strength in deformed hafnium isotopes from new measurements on Hf, Hf, and Hf
- Prolate-to-oblate shape phase transitions in neutron-rich odd-mass nuclei
- -soft Ba and the role of non-axial shapes at N ~ 90
- Empirical physical formula for potential energy curves of 38-66Ti isotopes by using neural networks
- Systematic investigation of the high- isomers and the high-spin rotational bands in the neutron rich Nd and Sm isotopes by a particle-number conserving method
- Description of the low-lying collective states of Zr based on the quadrupole-collective Bohr Hamiltonian
- Modern applications of covariant density functional theory
- Signatures of shape phase transitions in krypton isotopes based on relativistic energy density functionals
- Transition from vibrational to rotational characters in low-lying states of hypernuclei
- A Study on Shape of Te Isotopes in Mean Field Formalism
- Properties of N=90 Isotones within the Mean Field Perspective
- Low-lying states in Mg: a beyond relativistic mean-field investigation