Masses and Radii of the Nuclei with N>=Z in an Alpha-Cluster Model

Abstract

In the framework of a recently developed alpha-cluster model a nucleus is represented as a core (alpha-cluster liquid drop with dissolved excess neutron pairs in it) and a nuclear molecule on its surface. From analysis of experimental nuclear binding energies one can find the number of alpha-clusters in the molecule and calculate the nuclear charge radii. It was shown that for isotopes of one Z with growing A the number of alpha-clusters in the molecule decreases to three, which corresponds to the nucleus 12C for even Z and 15N for odd Z, and the specific density of the core binding energy grows and reaches its saturation value. In this paper it is shown that the value =2.55 MeV/fm3 explains the particular number of excess neutrons in stable nuclei.

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