Nuclear Halos and Drip Lines in Symmetry-Conserving Continuum HFB Theory
arXiv:0809.4037 · doi:10.1103/PhysRevC.78.064305
Abstract
We review the properties of nuclear halos and nuclear skins in drip line nuclei in the framework of the spherical Hartree-Fock-Bogoliubov theory with continuum effects and projection on good particle number with the Gogny force. We first establish the position of the un-projected HFB drip lines for the two most employed parametrizations of the Gogny force and show that the use of finite-range interactions leads almost always to small-sized halos, even in the least bound nuclei, which is in agreement with most mean-field predictions. We also discuss the size of the neutron skin at the drip line and its relation to neutron asymmetry. The impact of particle-number projection and its conceptual consequences near the drip line are analyzed in detail. In particular, we discuss the role of the chemical potential in a projected theory and the criteria required to define the drip line. We show that including particle number projection can shift the latter, in particular near closed shells. We notice that, as a result, the size of the halo can be increased due to larger pairing correlations. However, combining the most realistic pairing interaction, a proper treatment of the continuum and particle number projection does not permit to reproduce the very large halos observed in very light nuclei.
Re-submitted to Phys. Rev. C after Referee's review. Layout of figures changed to cope with editor's requirements
References in corpus (23)
- Mean-field description of ground-state properties of drip-line nuclei: Pairing and continuum effects
- The Skyrme Interaction in finite nuclei and nuclear matter
- A Giant Halo at the Neutron Drip Line
- Systematic study of deformed nuclei at the drip lines and beyond
- Gamow Shell Model Description of Neutron-Rich Nuclei
- Spherical Relativistic Hartree theory in a Woods-Saxon basis
- Local Density Approximation for proton-neutron pairing correlations. I. Formalism
- Particle number projection with effective forces
- Shell Structure of Exotic Nuclei
- Gamow Shell Model Description of Weakly Bound Nuclei and Unbound Nuclear States
- Pairing and continuum effects in nuclei close to the drip line
- Relativistic Hartree-Bogoliubov theory with finite range pairing forces in coordinate space: Neutron halo in light nuclei
- Nuclear Skins and Halos in the Mean-Field Theory
- Theoretical Aspects of Science with Radioactive Nuclear Beams
- Three-Body Halos. II. from Two- to Three-Body Asymptotics
- Mean-field Based Approaches to Pairing Correlations in Atomic Nuclei
- Relativistic Hartree-Bogoliubov theory in coordinate space: finite element solution for a nuclear system with spherical symmetry
- Pairing renormalization and regularization within the local density approximation
- Gamow-Hartree-Fock-Bogoliubov Method: Representation of quasiparticles with Berggren sets of wave functions
- Large-Scale Self-Consistent Nuclear Mass Calculations
- A New Efficient Method of Hartree-Fock-Bogoliubov Calculation for Weakly Bound Nuclei
- Continuum and Symmetry-Conserving Effects in Drip-line Nuclei Using Finite-range Forces
- Pairing Correlations in Finite Systems: From the weak to the strong fluctuations regime
Cited by in corpus (29)
- Hidden pseudospin and spin symmetries and their origins in atomic nuclei
- Neutron halo in deformed nuclei
- Halos in medium-heavy and heavy nuclei with covariant density functional theory in continuum
- Mean field and beyond description of nuclear structure with the Gogny force: A review
- Triaxial Angular Momentum Projection and Configuration Mixing calculations with the Gogny force
- Deformed relativistic Hartree Bogoliubov theory in continuum
- Evidence for the ground-state resonance of 26O
- 3D Relativistic Hartree-Bogoliubov model with a separable pairing interaction
- Halos and related structures
- Analysis of bulk and surface contributions in the neutron skin of nuclei
- Solution of the Skyrme-Hartree-Fock-Bogolyubov equations in the Cartesian deformed harmonic-oscillator basis. (VIII) hfodd (v2.73y): a new version of the program
- Pseudospin symmetry in single particle resonances in spherical square wells
- Surface properties of neutron-rich exotic nuclei: A source for studying the nuclear symmetry energy
- Beyond the charge radius: the information content of the fourth radial moment
- Axially-deformed solution of the Skyrme-Hartree-Fock-Bogoliubov equations using the transformed harmonic oscillator basis (IV) hfbtho (v4.0): A new version of the program
- Missed prediction of the neutron halo in Mg
- Optimized Dirac Woods-Saxon basis for covariant density functional theory
- Hartree-Fock-Bogoliubov descriptions of deformed weakly-bound nuclei in large coordinate spaces
- Emergent Soft Monopole Modes in Weakly-Bound Deformed Nuclei
- Evolution of Surface Deformations of Weakly-Bound Nuclei in the Continuum
- Influence of the single-particle structure on the nuclear surface and the neutron skin
- Odd-even staggering in neutron drip line nuclei
- Analysis of the unbound spectrum of Li
- Neutron halo in deformed nuclei from a relativistic Hartree-Bogoliubov model in a Woods-Saxon basis
- Triaxial relativistic Hartree-Bogoliubov theory in continuum for exotic nuclei
- Coordinate-Space Hartree-Fock-Bogoliubov Description of Superfluid Fermi Systems
- A systematic study of the ground state properties of W, Os and Pt isotopes using HFB theory
- Neutron-pair structure in the continuum spectrum of O
- Models for Pairing Phenomena