Dirac-Brueckner Hartree-Fock Approach: from Infinite Matter to Effective Lagrangians for Finite Systems

Abstract

One of the open problems in nuclear structure is how to predict properties of finite nuclei from the knowledge of a bare nucleon-nucleon interaction of the meson-exchange type. We point out that a promising starting point consists in Dirac-Brueckner-Hartree-Fock (DBHF) calculations us- ing realistic nucleon-nucleon interactions like the Bonn potentials, which are able to reproduce satisfactorily the properties of symmetric nuclear matter without the need for 3-body forces, as is necessary in non-relativistic BHF calculations. However, the DBHF formalism is still too com- plicated to be used directly for finite nuclei. We argue that a possible route is to define effective Lagrangians with density-dependent nucleon-meson coupling vertices, which can be used in the Relativistic Hartree (or Relativistic Mean Field (RMF)) or preferrably in the Relativistic Hartree- Fock (RHF) approach. The density-dependence is matched to the nuclear matter DBHF results. We review the present status of nuclear matter DBHF calculations and discuss the various schemes to construct the self-energy, which lead to differences in the predictions. We also discuss how effective Lagrangians have been constructed and are used in actual calculations. We point out that completely consistent calculations in this scheme still have to be performed.

16 pages, to be published in Journal of Physics G: Nuclear and Particle Physics, special issue.

References in corpus (8)

• Composition and thermodynamics of nuclear matter with light clusters
• Shell Structure and $\rho$-Tensor Correlations in Density-Dependent Relativistic Hartree-Fock theory
• Relativistic model for nuclear matter and atomic nuclei with momentum-dependent self-energies
• Evolution of Nuclear Shell Structure due to the Pion Exchange Potential
• Nuclear halo structure and pseudo-spin symmetry
• Dirac-Brueckner-Hartree-Fock calculations for isospin asymmetric nuclear matter based on improved approximation schemes
• Low densities in asymmetric nuclear matter
• Non-Linear derivative interactions in relativistic hadrodynamics

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• Nuclear matter in relativistic Brueckner-Hartree-Fock theory with Bonn potential in the full Dirac space
• Relativistic Effects in Nuclear Matter and Nuclei
• Light Clusters and Pasta Phases in Warm and Dense Nuclear Matter
• Pseudo-spin symmetry restoration and the in-medium balance between nuclear attractive and repulsive interactions
• Relativistic Description of Finite Nuclei Based on Realistic $NN$ Interactions
• Effective surface properties of light, heavy, and super-heavy nuclei
• Isospin dependent properties of the isotopic chain of Scandium and Titanium nuclei within the relativistic mean-field formalism
• Microscopic optical potential from the relativistic Brueckner-Hartree-Fock theory: Proton-nucleus scattering
• Appearance of peak in symmetry energy at N = 126 for Pb isotopic chain within relativistic energy density functional
• Quenched Λ spin-orbit splitting by relativistic Fock diagram in single-Λ hypernuclei
• Effect of Magnetic Fields on Urca Rates in Neutron Star Mergers
• Relativistic Effects in 3-Nucleon Forces for Nuclear Matter and Finite Nuclei
• Strongly interacting matter in extreme magnetic fields
• Persistence of the N = 50 shell closure over the isotopic chains of Sc, Ti, V and Cr nuclei using relativistic energy density functional
• In-medium nucleon-nucleon cross sections from relativistic ab initio calculations