# Symmetry Energy for Nuclei Beyond the Stability Valley - Nuclear Theory

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Abstract: We apply the direct variational method to derive the equation of state forfinite nuclei within the stability valley. The extended Thomas-Fermiapproximation for the energy functional with Skyrme forces is used. Using theleptodermous expansion for the profile nucleon densities, we have studied theneutron coat and the isospin symmetry energy for neutron-rich nuclei. Usingequation of state for the pressure, we derive the region of spinodalinstability of finite nuclei and its dependence on the mass number, theasymmetry parameter and the Skyrme force parameters. We suggest the procedureof derivation of the isospin symmetry energy from analysis of the isospin shiftof chemical potential $\Delta\lambda = \lambda n - \lambda p$ beyond thebeta-stability line.

Autor: V.M. Kolomietz, A.I.Sanzhur

Fuente: https://arxiv.org/