Quasi-particle continuum and resonances in the Hartree-Fock-Bogoliubov theory

Abstract

The quasi-particle energy spectrum of the Hartree-Fock-Bogoliubov (HFB) equations contains discrete bound states, resonances, and non-resonant continuum states. We study the structure of the unbound quasi-particle spectrum of weakly bound nuclei within several methods that do not rely on imposing scattering or outgoing boundary conditions. Various approximations are examined to estimate resonance widths. It is shown that the stabilization method works well for all HFB resonances except for very narrow ones. The Thomas-Fermi approximation to the non-resonant continuum has been shown to be very effective, especially for coordinate-space HFB calculations in large boxes that involve huge amounts of discretized quasi-particle continuum states.

12 pages,11 figures,submitted to PRC

References in corpus (14)

• Shell Model in the Complex Energy Plane
• Shell Structure of Exotic Nuclei
• Self-consistent description of multipole strength: systematic calculations
• Deformed Coordinate-Space Hartree-Fock-Bogoliubov Approach to Weakly Bound Nuclei and Large Deformations
• Real stabilization method for nuclear single particle resonances
• Finite temperature phase diagram of a spin-polarized ultracold Fermi gas in a highly elongated harmonic trap
• Persistent contribution of unbound quasiparticles to the pair correlation in continuum Skyrme-Hartree-Fock-Bogoliubov approach
• Pairing renormalization and regularization within the local density approximation
• Continuum Hartree-Fock-Bogoliubov theory for weakly bound deformed nuclei using coordinate-space Green's function method
• Gamow-Hartree-Fock-Bogoliubov Method: Representation of quasiparticles with Berggren sets of wave functions
• Unveiling pairing anti-halo effect in odd-even staggering in reaction cross sections of weakly bound nuclei
• 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
• First application of the continuum-QRPA to description of the double beta decay

Cited by in corpus (29)

• Hidden pseudospin and spin symmetries and their origins in atomic nuclei
• Spontaneous fission modes and lifetimes of super-heavy elements in the nuclear density functional theory
• Deformed relativistic Hartree Bogoliubov theory in continuum
• Multidimensionally-constrained covariant density functional theories --- nuclear shapes and potential energy surfaces
• Pseudospin symmetry in single particle resonant states
• Deformed relativistic Hartree-Bogoliubov theory in continuum with point coupling functional: examples of even-even Nd isotopes
• From bound states to the continuum
• Pseudospin symmetry in single particle resonances in spherical square wells
• Living on the edge of stability, the limits of the nuclear landscape
• Pair correlation of giant halo nuclei in continuum Skyrme-Hartree-Fock-Bogoliubov theory
• Computational Nuclear Quantum Many-Body Problem: The UNEDF Project
• Pairing in exotic neutron rich nuclei around the drip line and in the crust of neutron stars
• Neutron drip line in the deformed relativistic Hartree-Bogoliubov theory in continuum: Oxygen to Calcium
• Adaptive Multi-resolution 3D Hartree-Fock-Bogoliubov Solver for Nuclear Structure
• Hartree-Fock-Bogoliubov descriptions of deformed weakly-bound nuclei in large coordinate spaces
• Evolution of Surface Deformations of Weakly-Bound Nuclei in the Continuum
• Emergent Soft Monopole Modes in Weakly-Bound Deformed Nuclei
• Jost function based on the Hartree-Fock-Bogoliubov formalism
• Particle number conserving BCS approach in the relativistic mean field model and its application to ${}^{32-74}$Ca
• Three-dimensional Skyrme Hartree-Fock-Bogoliubov solver in coordinate-space representation
• Coordinate-Space Hartree-Fock-Bogoliubov Solvers for Superfluid Fermi Systems in Large Boxes
• Asymptotics of neutron Cooper pair in weakly bound nuclei
• Nucleon-nucleon resonances at intermediate energies using a complex energy formalism
• Generalized Second-Order Thomas-Fermi Method for Superfluid Fermi Systems
• Calculation of expectation values of operators in the Complex Scaling method
• Reflection-asymmetric nuclear deformations within the Density Functional Theory
• Exploratory study on the masses of odd-$Z$ nuclei and $r$-process simulation based on the deformed relativistic Hartree-Bogoliubov theory in continuum
• Models for Pairing Phenomena
• Finite-range pairing in nuclear density functional theory