Nuclear asymmetry energy and isovector stiffness within the effective surface approximation

Abstract

The isoscalar and isovector particle densities and the surface tension coefficients at the average binding energy are used to derive analytical expressions of the neutron skin thickness and the isovector stiffness of sharp edged proton-neutron asymmetric nuclei. For most Skyrme forces these quantities are significantly larger than the well known ones. Using the analytical isovector surface energy constants in the framework of the hydrodynamical and the Fermi-liquid droplet models the mean energies and the sum rules of the isovector giant dipole resonances are in fair agreement with the experimental data.

22 pages, 5 figures, 2 tables

References in corpus (9)

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Cited by in corpus (13)

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• Nuclear Symmetry Energy and Neutron Skin Thickness of ${}^{208}Pb$ using a finite range effective interaction
• Slope-dependent nuclear-symmetry energy within the effective surface approximation
• Isovector dipole-resonance structure within the effective surface approximation
• Symmetry energy effects on isovector properties of neutron rich nuclei with a Thomas-Fermi approach
• Shells, orbit bifurcations and symmetry restorations in Fermi systems
• Semiclassical approaches to nuclear dynamics
• Surface corrections to the moment of inertia and shell structure in finite Fermi systems
• Neutron stars as a dense liquid drop at equilibrium within the effective surface approximation
• Leptodermic corrections to the TOV equations and nuclear astrophysics within the effective surface approximation
• Macroscopic approaches to rotating neutron stars