Symmetry and Surface Symmetry Energies in Finite Nuclei

Abstract

A study of properties of the symmetry energy of nuclei is presented based on density functional theory. Calculations for finite nuclei are given so that the study includes isospin dependent surface symmetry considerations as well as isospin independent surface effects. Calculations are done at both zero and non-zero temperature. It is shown that the surface symmetry energy term is the most sensitive to the temperature while the bulk energy term is the least sensitive. It is also shown that the temperature dependence terms are insensitive to the force used and even more insensitive to the existence of neutron skin. Results for a symmetry energy with both volume and surface terms are compared with a symmetry energy with only volume terms along the line of $\beta$ stability. Differences of several MeV are shown over a good fraction of the total mass range in $A$. Also given are calculations for the bulk, surface and Coulomb terms.

11 pages, 2 figures, Added a new table

References in corpus (3)

• Symmetry Energy I: Semi-Infinite Matter
• Symmetry Energy in Nuclear Surface
• Nuclear Chemical and Mechanical Instability and the Liquid-Gas Phase Transition in Nuclei

Cited by in corpus (9)

• Surface Symmetry Energy of Nuclear Energy Density Functionals
• Isobaric yield ratios in heavy-ion reactions, and symmetry energy of neutron-rich nuclei at intermediate energies
• In-medium nuclear cluster energies within the Extended Thomas-Fermi approach
• Temperature dependence of the symmetry energy and neutron skins in Ni, Sn, and Pb isotopic chains
• Temperature determined by isobaric yield ratio in heavy-ion collisions
• Volume and surface contributions to the nuclear symmetry energy within the coherent density fluctuation model
• Symmetry energy of hot nuclei in the relativistic Thomas-Fermi approximation
• Isospin dependent properties of the isotopic chain of Scandium and Titanium nuclei within the relativistic mean-field formalism
• Parametrization of the surface energy in the ETF approximation