Abstract

We suggest a particular procedure of derivation of the beta-stability line, the nuclear Coulomb energy and the isotopic symmetry energy. The approach is based on the analysis of the A-dependency of the shift of neutron–proton chemical potentials Δλ = λn-λp. We observe the nonmonotonic (sawtooth) shape of the β-stability line as a function of mass number A and establish the relation of local maxima of the β-stability line to the mass numbers of the double-closed shells. The behavior of the symmetry energy coefficient b sym (A) at fixed neutron excess Y = N-Z is analyzed. We show that, qualitatively, b sym (A) has canyon-like behavior for a given value of Y. The width and the position of the bottom of such "canyon" depend on neutron excess.

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