Symmetry Energy in Nuclear Surface

TL;DR

This paper explores how the symmetry energy's dependence on density and nucleonic density variations across the nuclear surface influence the mass dependence of the symmetry coefficient, utilizing charge symmetry to simplify the analysis.

Contribution

It introduces a framework linking symmetry energy dependence and nucleonic density variations to the mass dependence of the symmetry coefficient in nuclear energy formulas.

Findings

The interplay affects the mass dependence of the symmetry coefficient.

Charge symmetry allows defining isoscalar and isovector densities independent of neutron-proton asymmetry.

Provides insights into nuclear surface properties and symmetry energy behavior.

Abstract

Interplay between the dependence of symmetry energy on density and the variation of nucleonic densities across nuclear surface is discussed. That interplay gives rise to the mass dependence of the symmetry coefficient in an energy formula. Charge symmetry of the nuclear interactions allows to introduce isoscalar and isovector densities that are approximately independent of the magnitude of neutron-proton asymmetry.