Deformed relativistic Hartree Bogoliubov theory in continuum

Abstract

A deformed relativistic Hartree Bogoliubov (RHB) theory in continuum is developed aiming at a proper description of exotic nuclei, particularly those with a large spatial extension. In order to give an adequate consideration of both the contribution of the continuum and the large spatial distribution in exotic nuclei, the deformed RHB equations are solved in a Woods-Saxon (WS) basis in which the radial wave functions have a proper asymptotic behavior at large distance from the nuclear center. This is crucial for the proper description of a possible halo. The formalism of deformed RHB theory in continuum is presented. A stable nucleus, 20Mg and a weakly-bound nucleus, 42Mg, are taken as examples to present numerical details and to carry out necessary numerical checks. In addition, the ground state properties of even-even magnesium isotopes are investigated. The generic conditions of the formation of a halo in weakly bound deformed systems and the shape of the halo in deformed nuclei are discussed. We show that the existence and the deformation of a possible neutron halo depend essentially on the quantum numbers of the main components of the single particle orbitals in the vicinity of the Fermi surface.

arXiv comment19 pages, 12 figures; Expanded article of arXiv: 0909.1600 (Phys. Rev. C82, 011301R); Phys. Rev. C, in press

References in corpus (52)

• Nuclear Ground-State Masses and Deformations
• A New Parameterization for the Lagrangian Density of Relativistic Mean Field Theory
• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Nuclear magic numbers: new features far from stability
• Mean-field description of ground-state properties of drip-line nuclei: Pairing and continuum effects
• Further explorations of Skyrme-Hartree-Fock-Bogoliubov mass formulas. XII: Stiffness and stability of neutron-star matter
• New effective interactions in RMF theory with non-linear terms and density-dependent meson-nucleon coupling
• A Giant Halo at the Neutron Drip Line
• Systematic study of deformed nuclei at the drip lines and beyond
• Neutron halo in deformed nuclei
• Spherical Relativistic Hartree theory in a Woods-Saxon basis
• Correlations beyond the mean field in Magnesium isotopes: Angular momentum projection and configuration mixing
• Potential Energy Surfaces of Actinide Nuclei from a Multi-dimensional Constraint Covariant Density Functional Theory: Barrier Heights and Saddle Point Shapes
• Configuration mixing of angular-momentum projected triaxial relativistic mean-field wave functions
• Shell Structure of Exotic Nuclei
• Discovery of the shape coexisting 0+ state in 32Mg by a two neutron transfer reaction
• Relativistic Hartree-Bogoliubov description of the deformed N = 28 region
• Relativistic Hartree-Bogoliubov theory with finite range pairing forces in coordinate space: Neutron halo in light nuclei
• Deformation of Nuclei Close to the Two-Neutron Drip Line in Mg Region
• 3D Solution of Hartree-Fock-Bogoliubov Equations for Drip-Line Nuclei
• Relativistic Hartree-Fock-Bogoliubov theory with Density Dependent Meson-Nucleon Couplings
• Quadrupole deformation $(\beta ,\gamma )$ of light $\Lambda$ hypernuclei in constrained relativistic mean field model: shape evolution and shape polarization effect of $\Lambda$ hyperon
• Symmetry-Unrestricted Skyrme-Hartree-Fock-Bogoliubov Calculations for Exotic Shapes in N=Z Nuclei from 64Ge to 84Mo
• Reduction of the spin-orbit potential in light drip-line nuclei
• Quadrupole deformations of neutron-drip-line nuclei studied within the Skyrme Hartree-Fock-Bogolyubov approach
• Configuration mixing of angular-momentum projected triaxial relativistic mean-field wave functions. II. Microscopic analysis of low-lying states in magnesium isotopes
• Spectroscopy of 32Ne and the Island of Inversion
• Beyond the relativistic mean-field approximation: configuration mixing of angular momentum projected wave functions
• Ground-state properties of deformed proton emitters in the relativistic Hartree-Bogoliubov model
• Deformed nuclear halos
• Pairing correlations and resonant states in the relativistic mean field theory
• Axially symmetric Hartree-Fock-Bogoliubov Calculations for Nuclei Near the Drip-Lines
• Deformed Coordinate-Space Hartree-Fock-Bogoliubov Approach to Weakly Bound Nuclei and Large Deformations
• Resonant continuum in the Hartree-Fock+BCS approximation
• Shape Coexistence in the Relativistic Hartree-Bogoliubov approach
• Description of quadrupole collectivity in N ~ 20 nuclei with techniques beyond the mean field
• Exploration of Resonant Continuum and Giant Resonance in the Relativistic Approach
• Relativistic Hartree-Bogoliubov theory in coordinate space: finite element solution for a nuclear system with spherical symmetry
• Quasi-particle continuum and resonances in the Hartree-Fock-Bogoliubov theory
• Persistent contribution of unbound quasiparticles to the pair correlation in continuum Skyrme-Hartree-Fock-Bogoliubov approach
• Relativistic Hartree-Bogoliubov description of the deformed ground-state proton emitters
• Nuclear Halos and Drip Lines in Symmetry-Conserving Continuum HFB Theory
• Continuum Hartree-Fock-Bogoliubov theory for weakly bound deformed nuclei using coordinate-space Green's function method
• Application of Gaussian expansion method to nuclear mean-field calculations with deformation
• An HFB scheme in natural orbitals
• Hartree-Fock-Bogoliubov Calculations in Coordinate Space: Neutron-Rich Sulfur, Zirconium, Cerium, and Samarium Isotopes
• Canonical-basis solution of the Hartree-Fock-Bogoliubov equation on three-dimensional Cartesian mesh
• Deformation effect on the center-of-mass correction energy in nuclei ranging from Oxygen to Calcium
• Valence pairing, core deformation and the development of two-neutron halos
• Continuum and Symmetry-Conserving Effects in Drip-line Nuclei Using Finite-range Forces
• Ground state properties of rare-earth nuclei in the relativistic Hartree-Bogoliubov model with density-dependent meson-nucleon couplings
• Neutron halo in deformed nuclei from a relativistic Hartree-Bogoliubov model in a Woods-Saxon basis

Cited by in corpus (75)

• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Global performance of covariant energy density functionals: ground state observables of even-even nuclei and the estimate of theoretical uncertainties
• The limits of the nuclear landscape explored by the relativistic continuum Hatree-Bogoliubov theory
• Halos in medium-heavy and heavy nuclei with covariant density functional theory in continuum
• Multidimensionally-constrained relativistic mean field models and potential energy surfaces of actinide nuclei
• Multidimensionally-constrained covariant density functional theories --- nuclear shapes and potential energy surfaces
• Shrunk halo and quenched shell gap at $N=16$ in ${}^{22}$C: Inversion of $sd$ states and deformation effects
• Deformed relativistic Hartree-Bogoliubov theory in continuum with point coupling functional: examples of even-even Nd isotopes
• The neutron drip line: single-particle degrees of freedom and pairing properties as sources of theoretical uncertainties
• Quasi-free Neutron Knockout Reaction Reveals a Small $s$-orbital Component in the Borromean Nucleus ${}^{17}$B
• Superdeformed $\Lambda$ hypernuclei from relativistic mean field models
• Study of ground state properties of carbon isotopes with deformed relativistic Hartree-Bogoliubov theory in continuum
• Predictive power for superheavy nuclear mass and possible stability beyond the neutron drip line in deformed relativistic Hartree-Bogoliubov theory in continuum
• Odd systems in deformed relativistic Hartree Bogoliubov theory in continuum
• Pseudospin symmetry in single particle resonances in spherical square wells
• Deformed relativistic Hartree-Bogoliubov theory in continuum with a point-coupling functional. II. Examples of odd Nd isotopes
• Crucial test for covariant density functional theory with new and accurate mass measurements from Sn to Pa
• Living on the edge of stability, the limits of the nuclear landscape
• Rotating deformed halo nuclei and shape decoupling effects
• Density-dependent deformed relativistic Hartree-Bogoliubov theory in continuum
• Solving Dirac equations on a 3D lattice with inverse Hamiltonian and spectral methods
• Pair correlation of giant halo nuclei in continuum Skyrme-Hartree-Fock-Bogoliubov theory
• Pairing transitions in the finite-temperature relativistic Hartree-Bogoliubov theory
• Effects of pairing, continuum, and deformation on particles in the classically forbidden regions for Mg isotopes
• Collapse of the $N=28$ shell closure in the newly discovered ${}^{39}$Na and the development of deformed halos towards the neutron dripline
• Possible bound nuclei beyond the two-neutron drip line in the $50⩽Z⩽70$ region
• Missed prediction of the neutron halo in ${}^{37}$Mg
• Intertwined effects of pairing and deformation on neutron halos in magnesium isotopes
• Neutron drip line in the deformed relativistic Hartree-Bogoliubov theory in continuum: Oxygen to Calcium
• Three-dimensional mesh calculations for covariant density functional theory
• Shape coexistence and neutron skin thickness of Pb isotopes by the deformed relativistic Hartree-Bogoliubov theory in continuum
• Ground state properties and potential energy surfaces of ${}^{270}$Hs from multidimensionally-constrained relativistic mean field model
• Angular momentum projection in the deformed relativistic Hartree-Bogoliubov theory in continuum
• Optimized Dirac Woods-Saxon basis for covariant density functional theory
• Green's function method for the single-particle resonances in a deformed Dirac equation
• Bubble nuclei with shape coexistence in even-even isotopes of Hf to Hg
• Multipole expansion of densities in the deformed relativistic Hartree-Bogoliubov theory in continuum
• Probing the resonance in the Dirac equation with quadruple-deformed potentials by complex momentum representation method
• Possible existence of bound nuclei beyond neutron drip lines driven by deformation
• Novel ansatz for charge radii in density functional theories
• Relativistic Hartree-Fock-Bogoliubov model for axially deformed nuclei
• Evolution of Surface Deformations of Weakly-Bound Nuclei in the Continuum
• Odd-even staggering and shell effects of charge radii for nuclei with even $Z$ from $36$ to $38$ and from $52$ to $62$
• Hartree-Fock-Bogoliubov theory for odd-mass nuclei with a time-odd constraint and application to deformed halo nuclei
• Theoretical study of the two-proton halo candidate ${}^{17}$Ne including contributions from resonant continuum and pairing correlations
• An efficient solution for Dirac equation in 3D lattice space with the conjugate gradient method
• Relativistic mean field plus exact pairing approach to open shell nuclei
• Green's function method for the spin and pseudospin symmetries in the single-particle resonant states
• Properties of exotic nuclei and their linkage to the nucleonic interaction
• Examination of the evidence for a proton halo in ${}^{22}$Al
• Microscopic study of higher-order deformation effects on the ground states of superheavy nuclei around ${}^{270}$Hs
• Finite amplitude method on the deformed relativistic Hartree-Bogoliubov theory in continuum: The isoscalar giant monopole resonance in exotic nuclei
• Improved description of nuclear charge radii: Global trends beyond $N=28$ shell closure
• Searching for single-particle resonances with the Green's function method
• Continuum Skyrme-Hartree-Fock-Bogoliubov theory with Green's function method for odd-$A$ nuclei
• Shell structure and shape transition in odd-$Z$ superheavy nuclei with proton numbers $Z=117,119$: insights from deformed relativistic Hartree-Bogoliubov in continuum
• The Dirac oscillator: an alternative basis for nuclear structure calculations
• Microscopic study of the Shell Structure evolution in isotopes of light to middle mass range Nuclides
• Charge radii of potassium isotopes in the RMF(BCS)* approach
• Study of single-particle resonant states with Green's function method
• Global $\alpha$-decay study based on the mass table of the relativistic continuum Hartree-Bogoliubov theory
• Nuclear shape evolution of neutron-deficient Au and kink structure of Pb isotopes
• Neutron drip line of $Z=9-11$ isotopic chains
• Symmetry Energy from Two-Nucleon Separation Energies of Pb and Ca Isotopes
• Triaxial relativistic Hartree-Bogoliubov theory in continuum for exotic nuclei
• Ground-state properties and structure evolutions of odd-$A$ transuranium Bk isotopes from deformed relativistic Hartree-Bogoliubov theory in continuum
• Restoration of pseudo-spin symmetry in $N=32$ and $34$ isotones described by relativistic Hartree-Fock theory
• Charge-exchange dipole excitations in deformed nuclei
• Ground state and fission properties of even-$A$ uranium isotopes from multidimensionally-constrained relativistic mean field model
• Evolution of $N=28$ shell closure in relativistic continuum Hartree-Bogoliubov theory
• Collapse of N$=$28 magicity in exotic ${}^{40}$Mg -- Probe of deformed halo and 2n-radioactivity at Mg neutron drip-line
• A New Determination of the (Z,A) Dependence of Coherent Muon-to-Electron Conversion
• Exploratory study on the masses of odd-$Z$ nuclei and $r$-process simulation based on the deformed relativistic Hartree-Bogoliubov theory in continuum
• Nuclear Pairing Energy vs Mean Field Energy: Do They Talk To Each Other For Searching The Energy Minimum?
• Extending the nuclear chart by continuum: from oxygen to titanium