Symmetry energy I: Semi-infinite matter
By P. Danielewicz, Jenny Lee. 2008
183 citations recorded by the source corpus.
Abstract Energy for a nucleus is considered in the macroscopic limit, in terms of nucleon numbers. Further considered for a nuclear system is the Hohenberg–Kohn energy functional, in terms of proton and neutron densities. Finally, Skyrme–Hartree–Fock calculations are carried out for a half-infinite particle-stable nuclear-matter. In each case, the attention is focused on the role of neutron–proton asymmetry and on the nuclear symmetry energy. We extend the considerations on the symmetry term from an energy formula to the respective term within the Hohenberg–Kohn functional. We show, in particular, that in the limit of an analytic functional, and subject to possible Coulomb corrections, it is possible to construct isoscalar and isovector densities out of the proton and neutron densities, that retain a universal relation to each other, approximately independent of asymmetry. In the so-called local approximation, the isovector density is inversely proportional to the symmetry energy in uniform matter, at the local isoscalar density. Generalized symmetry coefficient of a nuclear system is related, in the analytic limit of the functional, to an integral of the isovector density. We test the relations, inferred from the Hohenberg–Kohn functional, in the Skyrme–Hartree–Fock calculations of half-infinite matter. Within the calculations, we obtain surface symmetry coefficients and parameters characterizing the densities, for the majority of Skyrme parameterizations proposed in the literature. The volume-to-surface symmetry-coefficient ratio, and the displacement of nuclear isovector relative to isoscalar surfaces, both strongly increase as the slope of symmetry energy, in the vicinity of normal density, increases.
Subfields: Atomic and Molecular Physics, and Optics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/a67a350418d3e1a5a5b0d33d04ac16ebbbc67f2e
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In Atomic and Molecular Physics, and Optics
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Citations in the corpus
- Symmetry Parameter Constraints from a Lower Bound on Neutron-matter Energy (2016, background): “It has also been found that realistic forces of both nonrelativistic potential and relativistic field-theoretical types that are calibrated by fitting energies and charge radii of laboratory nuclei show a linear correlation between Ksym/S0 and L/S0 (Danielewicz & Lee 2009) or between Ksym and L (Che”
- The Nuclear Symmetry Energy (2016, methodology): “(6) is obtained by assuming implicitly that the proton and neutron surface are displaced between each other as the nuclear asymmetry increases [6].”
- Combined Constraints on the Equation of State of Dense Neutron-rich Matter from Terrestrial Nuclear Experiments and Observations of Neutron Stars (2018, background): “Farine et al. 1978; Ducoin et al. 2011; Providência et al. 2014; Pearson et al. 2014; Danielewicz & Lee 2009; Chen et al. 2009; Vidaña et al. 2009; Ducoin et al. 2011; Mondal et al. 2017; Tews et al. 2017), based on the systematics of many predictions using various many-body theories and…”