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Isoscalar and isovector particle densities are derived analytically by usingthe approximation of a sharp edged nucleus within the local energy densityapproach with the proton-neutron asymmetry and spin-orbit effects. Equationsfor the effective nuclear-surface shapes as collective variables are derived upto the higher order corrections in the form of the macroscopic boundaryconditions. The analytical expressions for the isoscalar and isovector tensioncoefficients of the nuclear surface binding energy and the finite-sizecorrections to the $\beta $ stability line are obtained.

Asymmetry and Spin-Orbit Effects in Binding Energy in the Effective Nuclear Surface Approximation