Masses and Radii of the Nuclei with N>=Z in an Alpha-Cluster Model
arXiv:0911.0987 · doi:10.1142/S0218301310015680
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 ρgrows and reaches its saturation value. In this paper it is shown that the value ρ=2.55 MeV/fm^3 explains the particular number of excess neutrons in stable nuclei.
arXiv comment7 pages, 3 eps figures, submitted as a contribution to the Proceedings of the International Conference, Messina, Italy, October 5-9, 2009