Symmetry energy in nuclear density functional theory

Abstract

The nuclear symmetry energy represents a response to the neutron-proton asymmetry. In this survey we discuss various aspects of symmetry energy in the framework of nuclear density functional theory, considering both non-relativistic and relativistic self-consistent mean-field realizations side-by-side. Key observables pertaining to bulk nucleonic matter and finite nuclei are reviewed. Constraints on the symmetry energy and correlations between observables and symmetry-energy parameters, using statistical covariance analysis, are investigated. Perspectives for future work are outlined in the context of ongoing experimental efforts.

14 pages, 8 figures, submitted to the Special EPJA Issue on "Symmetry Energy"

References in corpus (20)

• Relativistic Continuum Hartree Bogoliubov Theory for Ground State Properties of Exotic Nuclei
• The Nuclear Equation of State and Neutron Star Masses
• Relativistic Nuclear Energy Density Functionals: adjusting parameters to binding energies
• The Skyrme Interaction in finite nuclei and nuclear matter
• Symmetry Energy I: Semi-Infinite Matter
• The Giant Dipole Resonance as a quantitative constraint on the symmetry energy
• Neutron skin thickness in droplet model with surface width dependence: indications of softness of the nuclear symmetry energy
• Surface Symmetry Energy of Nuclear Energy Density Functionals
• Axially deformed relativistic Hartree Bogoliubov with separable pairing force
• Microscopically-based energy density functionals for nuclei using the density matrix expansion: Implementation and pre-optimization
• Neutron skins and neutron stars
• Empirical Proton-Neutron Interactions and Nuclear Density Functional Theory: Global, Regional and Local Comparisons
• Isospin mixing in nuclei within the nuclear density functional theory
• Microscopic calculations of isospin-breaking corrections to superallowed beta-decay
• Generic Constraints on the Relativistic Mean-Field and Skyrme-Hartree-Fock Models from the Pure Neutron Matter Equation of State
• Density Functional Theory for a Confined Fermi System with Short-Range Interaction
• Exploration of a modified density dependence in the Skyrme functional
• What can be learned from binding energy differences about nuclear structure: the example of delta V_{pn}
• Isospin mixing in the vicinity of the N=Z line
• Isospin mixing within the multi-reference nuclear density functional theory and beyond - selected aspects

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