Neutron halo in deformed nuclei

Abstract

Halo phenomena in deformed nuclei are investigated within a deformed relativistic Hartree Bogoliubov (DRHB) theory. These weakly bound quantum systems present interesting examples for the study of the interdependence between the deformation of the core and the particles in the halo. Contributions of the halo, deformation effects, and large spatial extensions of these systems are described in a fully self-consistent way by the DRHB equations in a spherical Woods-Saxon basis with the proper asymptotic behavior at large distance from the nuclear center. Magnesium and neon isotopes are studied and detailed results are presented for the deformed neutron-rich and weakly bound nucleus ${}^{44}$Mg. The core of this nucleus is prolate, but the halo has a slightly oblate shape. This indicates a decoupling of the halo orbitals from the deformation of the core. The generic conditions for the occurence of this decoupling effects are discussed.

5 pages, 6 EPS figures; to be published in Phys. Rev. C

References in corpus (5)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• Nuclear Halos and Drip Lines in Symmetry-Conserving Continuum HFB Theory
• Application of Gaussian expansion method to nuclear mean-field calculations with deformation
• A New Efficient Method of Hartree-Fock-Bogoliubov Calculation for Weakly Bound Nuclei
• A Study of Hadron Deformation in Lattice QCD

Cited by in corpus (108)

• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• 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
• Deformed relativistic Hartree Bogoliubov theory in continuum
• Multidimensionally-constrained relativistic mean field models and potential energy surfaces of actinide nuclei
• Quadrupole deformation $(\beta ,\gamma )$ of light $\Lambda$ hypernuclei in constrained relativistic mean field model: shape evolution and shape polarization effect of $\Lambda$ hyperon
• 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
• 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
• Predictive power for superheavy nuclear mass and possible stability beyond the neutron drip line in deformed relativistic Hartree-Bogoliubov theory in continuum
• Study of ground state properties of carbon isotopes with deformed relativistic Hartree-Bogoliubov theory in continuum
• Odd systems in deformed relativistic Hartree Bogoliubov theory in continuum
• Global dynamical correlation energies in covariant density functional theory: cranking approximation
• Deformed relativistic Hartree-Bogoliubov theory in continuum with a point-coupling functional. II. Examples of odd Nd isotopes
• Pseudospin symmetry in single particle resonances in spherical square wells
• Radial basis function approach in nuclear mass predictions
• Crucial test for covariant density functional theory with new and accurate mass measurements from Sn to Pa
• Probing the resonance of Dirac particle by the application of complex momentum representation
• 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
• Green's function method for single-particle resonant states in relativistic mean field theory
• Collapse of the $N=28$ shell closure in the newly discovered ${}^{39}$Na and the development of deformed halos towards the neutron dripline
• 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
• Possible bound nuclei beyond the two-neutron drip line in the $50⩽Z⩽70$ region
• Missed prediction of the neutron halo in ${}^{37}$Mg
• Neutron drip line in the deformed relativistic Hartree-Bogoliubov theory in continuum: Oxygen to Calcium
• Three-dimensional mesh calculations for covariant density functional theory
• Intertwined effects of pairing and deformation on neutron halos in magnesium isotopes
• Ground state properties and potential energy surfaces of ${}^{270}$Hs from multidimensionally-constrained relativistic mean field model
• Shape coexistence and neutron skin thickness of Pb isotopes by the deformed relativistic Hartree-Bogoliubov theory in continuum
• Angular momentum projection in the deformed relativistic Hartree-Bogoliubov theory in continuum
• Resonant states of deformed nuclei in complex scaling method
• Optimized Dirac Woods-Saxon basis for covariant density functional theory
• Green's function method for the single-particle resonances in a deformed Dirac equation
• Hartree-Fock-Bogoliubov descriptions of deformed weakly-bound nuclei in large coordinate spaces
• Green's function relativistic mean field theory for $\Lambda$ hypernuclei
• Bubble nuclei with shape coexistence in even-even isotopes of Hf to Hg
• Probing the resonance in the Dirac equation with quadruple-deformed potentials by complex momentum representation method
• Multipole expansion of densities in the deformed relativistic Hartree-Bogoliubov theory in continuum
• Possible existence of bound nuclei beyond neutron drip lines driven by deformation
• Evolution of Surface Deformations of Weakly-Bound Nuclei in the Continuum
• Relativistic Hartree-Fock-Bogoliubov model for axially deformed nuclei
• Single-particle and collective motion in unbound deformed ${}^{39}\text{Mg}$
• Emergent Soft Monopole Modes in Weakly-Bound Deformed Nuclei
• 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
• Odd-even staggerings on nuclear binding energy described by the covariant density functional theory
• An efficient solution for Dirac equation in 3D lattice space with the conjugate gradient method
• Probing Surface Quantum Flows in Deformed Pygmy Dipole Modes
• 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
• Time-dependent covariant density functional theory in 3D lattice space: benchmark calculation for 16O + 16O reaction
• Combination of complex momentum representation and Green's function methods in relativistic mean-field theory
• 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
• Nuclear Structure and Reaction Properties of Ne, Mg and Si Isotopes with RMF Densities
• Single particle in a reflection-asymmetric potential
• The ratio method: a new tool to study one-neutron halo 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
• Microscopic study of the Shell Structure evolution in isotopes of light to middle mass range Nuclides
• On the moment of inertia of PSR J0348+0432
• New quantification of symmetry energy from neutron skin thicknesses of ${}^{48}$Ca and ${}^{208}$Pb
• Study of single-particle resonant states with Green's function method
• Local variations of charge radii for nuclei with even $Z$ from 84 to 120
• Charge radii of potassium isotopes in the RMF(BCS)* approach
• Particle number conserving BCS approach in the relativistic mean field model and its application to ${}^{32-74}$Ca
• Self-consistent description of the halo nature of 31Ne with continuum and pairing correlations
• Global $\alpha$-decay study based on the mass table of the relativistic continuum Hartree-Bogoliubov theory
• Role of triaxiality in deformed halo nuclei
• Structure effect on one neutron removal reaction using relativistic mean field densities in Glauber model
• Evidence of a proton halo in ${}^{23}$Al: A mean field analysis
• Evolution of nuclear charge radii in copper and indium isotopes
• Modification of the Nuclear Landscape in the Inverse Problem Framework using the Generalized Bethe-Weizsäcker Mass Formula
• Unified mechanism behind the even-parity ground state and neutron halo of ${}^{11}$Be
• A relativistic mean field study of multi-strange system
• Symmetry Energy from Two-Nucleon Separation Energies of Pb and Ca Isotopes
• Nuclear shape evolution of neutron-deficient Au and kink structure of Pb isotopes
• Resonant spectra of quadrupolar anions
• Neutron drip line of $Z=9-11$ isotopic chains
• 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
• Probing exotic $J^{PC}$ resonances from deeply bound charmoniumlike molecules: Insights for identifying exotic hadrons
• Ground state and fission properties of even-$A$ uranium isotopes from multidimensionally-constrained relativistic mean field model
• Pseudospin symmetry in nuclear structure and its supersymmetric representation
• 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
• Implication of shell quenching in scandium isotopes around N=20
• The Oxygen core inside the Magnesium isotopes
• Nuclear Pairing Energy vs Mean Field Energy: Do They Talk To Each Other For Searching The Energy Minimum?
• 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
• Implication of odd-even staggering in the charge radii of calcium isotopes
• Models for Pairing Phenomena
• Ab initio study of the neutron and Fermi polarons on the lattice
• Extending the nuclear chart by continuum: from oxygen to titanium