Specific Density Of Binding Enerfy Of Core In Beta - Stable Nuclei is 2.57 MeV/fm^3

TL;DR

This paper introduces a model for beta-stable nuclei based on alpha-cluster interactions, revealing a constant specific density of binding energy of 2.57 MeV/fm^3 that helps estimate nuclear sizes.

Contribution

It proposes a novel alpha-cluster model that links excess neutrons and core properties, identifying a universal binding energy density parameter.

Findings

The specific density of binding energy of the core is 2.57 MeV/fm^3.

This constant allows estimation of nuclear size from binding energy.

The model explains the dependence of excess neutrons on alpha-cluster count.

Abstract

Recently an alpha-cluster model based on the pn-pair interactions with using the isospin invariance of nuclear force has been proposed. According to the model the excess neutron pairs fill out the free space in the core determined by the difference in the charge and matter radii of the alpha-clusters. Then the number of excess neutrons in beta-stable nuclei depends on the number of the core alpha-clusters. In such a representation the specific density of binding energy of core is the only parameter to fit the experimental binding energies of beta-stable nuclei and it turned out to be a constant value equal to 2.57 MeV/fm^3. Knowing the value allows one to estimate the size of a nucleus from its experimental binding energy.