Nucleon separation energies in the valence correlation scheme

Abstract

In this paper we study the one- and two-nucleon separation energies (${S}_{n}$, ${S}_{p}$, ${S}_{2n}$, and ${S}_{2p}$) by using the Atomic-Mass-Evaluation-2011 Preview. We show the linear dependence of separation energies, previously investigated for ${S}_{n}$ and ${S}_{p}$ of even-even nuclei, in terms of $\ensuremath{\alpha}{N}_{p}+\ensuremath{\beta}{N}_{n}$ (${N}_{p}$ and ${N}_{n}$ is the valence proton number and valence neutron number, respectively, with respect to the nearest magic closure), hold in a broader sense. It is applicable equally well to odd-mass and odd-odd nuclei. New odd-even staggerings are found for ${S}_{n}$ and ${S}_{p}$, and are discussed by using the pairing interaction and the symmetry energy. Predictive power of these simple relations is discussed.