Fully self-consistent relativistic Brueckner-Hartree-Fock theory for finite nuclei

Abstract

Starting from the relativistic form of the Bonn potential as a bare nucleon-nucleon interaction, the full Relativistic Brueckner-Hartree-Fock (RBHF) equations are solved for finite nuclei in a fully self-consistent basis. This provides a relativistic ab initio calculation of the ground state properties of finite nuclei without any free parameters and without three-body forces. The convergence properties for the solutions of these coupled equations are discussed in detail at the example of the nucleus ${}^{16}$O. The binding energies, radii, and spin-orbit splittings of the doubly magic nuclei ${}^4$He, ${}^{16}$O, and ${}^{40}$Ca are calculated and compared with the earlier RBHF calculated results in a fixed Dirac Woods-Saxon basis and other non-relativistic ab initio calculated results based on pure two-body forces.

arXiv comment22 pages, 13 figures

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Cited by in corpus (31)

• Towards an ab initio covariant density functional for nuclear structure
• Accurate relativistic chiral nucleon-nucleon interaction up to NNLO
• Toward an accurate strongly-coupled many-body theory within the equation of motion framework
• Relativistic Brueckner-Hartree-Fock in nuclear matter without the average momentum approximation
• Effects of tensor forces in nuclear spin-orbit splittings from ab initio calculations
• Nuclear matter in relativistic Brueckner-Hartree-Fock theory with Bonn potential in the full Dirac space
• Skyrme functional with tensor terms from \textit{ab initio} calculations of neutron-proton drops
• Quantitative analysis of tensor effects in the relativistic Hartree-Fock theory
• Relativistic Brueckner-Hartree-Fock theory for neutron drops
• Relativistic chiral description of the ${}^1{S}_0$ nucleon-nucleon scattering
• Spin symmetry in the Dirac sea derived from the bare nucleon-nucleon interaction
• Coulomb exchange functional with generalized gradient approximation for self-consistent Skyrme Hartree-Fock calculations
• Neutron-proton effective mass splitting in neutron-rich matter
• Improvement of functionals in density functional theory by the inverse Kohn--Sham method and density functional perturbation theory
• Properties of nuclear matter in relativistic Brueckner-Hartree-Fock model with high-precision charge-dependent potentials
• Accuracy of the mean-field theory in describing ground-state properties of light nuclei
• Reconciling light nuclei and nuclear matter: relativistic $abinitio$ calculations
• Tensor-force effects on nuclear matter in relativistic ab initio theory
• Properties of ${}^{208}$Pb predicted from the relativistic equation of state in the full Dirac space
• Prediction of the excitation energies of the 2${}_1^{+}$ states for superheavy nuclei based on the microscopically derived Grodzins relation
• The nuclear symmetry energy from relativistic Brueckner-Hartree-Fock model
• The Spin Orbit term in the Nuclear Shell Model
• From spin to pseudospin symmetry: The origin of magic numbers in nuclear structure
• Tensor-force effects on shell-structure evolution in $N=82$ isotones and $Z=50$ isotopes in the relativistic Hartree-Fock theory
• Exploring effects of tensor force and its strength via neutron drops
• Connecting Relativistic Density Functional Theory to Microscopic Calculations
• Relativistic Mean-Field Approach in Nuclear Systems
• Accurate relativistic density functional for exchange energy of atomic nuclei
• Effects of Tensor Force in the Relativistic Scheme: A Case Study of Neutron Drops
• Proton spectral functions in finite nuclei based on the extended Brueckner-Hartree-Fock approach
• Skyrme Functional with Tensor Terms from ab initio Calculations: Results for the Spin-Orbit Splittings