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

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

2008-06-23

arxiv.org/abs/0806.3552v2

Physics

Nuclear Physics

Nuclear Theory

10 pages, 1 figure, Latex; some data added to the table

Scientific paper

Using the surface tension energy put in dependence on the number of alpha-clusters in the core in a phenomenological model representing a nucleus as a core and a nuclear molecule on its surface leads to widening the number of isotopes to be described from the narrow strip of beta-stability to the isotopes with N >= Z. The number of alpha-clusters in the molecule is obtained from the analysis of experimental binding energies and the specific density of the core binding energy \rho and the radii are calculated. It is shown that for the isotopes of one Z with growing A the number of alpha-clusters of the molecule decreases mostly to 3 and \rho increases to reach a saturation value within \rho = 2.5 \div 2.7 MeV/fm^3 at the beta - stable isotopes, so the narrow strip of the binding energies of the beta - stable isotopes with Z <= 84 is outlined by a function of one variable Z.

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