Relativistic Hartree-Bogoliubov theory in coordinate space: finite element solution for a nuclear system with spherical symmetry
arXiv:nucl-th/9706031 · doi:10.1016/S0010-4655(97)00042-8
Abstract
A C++ code for the solution of the relativistic Hartree-Bogoliubov theory in coordinate space is presented. The theory describes a nucleus as a relativistic system of baryons and mesons. The RHB model is applied in the self-consistent mean-field approximation to the description of ground state properties of spherical nuclei. Finite range interactions are included to describe pairing correlations and the coupling to particle continuum states. Finite element methods are used in the coordinate space discretization of the coupled system of Dirac-Hartree-Bogoliubov integro-differential eigenvalue equations, and Klein-Gordon equations for the meson fields. The bisection method is used in the solution of the resulting generalized algebraic eigenvalue problem, and the biconjugate gradient method for the systems of linear and nonlinear algebraic equations, respectively.
arXiv commentPostScript, 32 pages, to be published in Computer Physics Communictions (1997)
Cited by in corpus (33)
- Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
- Coordinate-space solution of the Skyrme-Hartree-Fock-Bogolyubov equations within spherical symmetry. The program HFBRAD (v1.0)
- Deformed relativistic Hartree Bogoliubov theory in continuum
- Nuclear Skins and Halos in the Mean-Field Theory
- Multidimensionally-constrained covariant density functional theories --- nuclear shapes and potential energy surfaces
- A Dirac-Hartree-Bogoliubov approximation for finite nuclei
- Relativistic Green's function approach to charged-current neutrino-nucleus quasielastic scattering
- Ground-state properties of deformed proton emitters in the relativistic Hartree-Bogoliubov model
- Theoretical Aspects of Science with Radioactive Nuclear Beams
- Relativistic Hartree-Bogoliubov description of ground-state properties of Ni and Sn isotopes
- Neutral-current neutrino-nucleus quasielastic scattering
- Inclusive electron scattering in a relativistic Green function approach
- Relativistic Hartree-Bogoliubov description of the neutron drip-line in light nuclei
- New Discrete Basis for Nuclear Structure Studies
- Relativistic corrections in (e,e'p) knockout reactions
- Solution of relativistic Hartree-Bogoliubov equations in configurational representation: spherical neutron halo nuclei
- Neutrino-nucleus quasi-elastic scattering and strange quark effects
- Relativistic descriptions of inclusive quasielastic electron scattering: application to scaling and superscaling ideas
- Nuclear Halos and Drip Lines in Symmetry-Conserving Continuum HFB Theory
- Angular momentum projection in the deformed relativistic Hartree-Bogoliubov theory in continuum
- Uncertainty Quantification and Propagation in Nuclear Density Functional Theory
- Relativistic corrections in (gamma,N) knockout reactions
- Proton drip-line nuclei in Relativistic Hartree-Bogoliubov theory
- New effective interactions for hypernuclei in density dependent relativistic mean field model
- Relativistic calculation of nuclear transparency in (e,e'p) reactions
- Relativistic descriptions of quasielastic charged-current neutrino-nucleus scattering: application to scaling and superscaling ideas
- Relativistic Green's function approach to parity-violating quasielastic electron scattering
- Continuum and Symmetry-Conserving Effects in Drip-line Nuclei Using Finite-range Forces
- Meson exchange currents in a relativistic model for electromagnetic one nucleon emission
- B-Spline Finite Elements and their Efficiency in Solving Relativistic Mean Field Equations
- Relativistic mean field study of neutron rich even-even C and Be isotopes
- Polarization transfer to bound protons measured by quasi-elastic electron scattering on C
- Helium nuclei around the neutron drip line