In a previous work it was shown that the radius of a nucleus R is determined by the α-cluster structure and can be estimated on the number of α-clusters disregarding the number of excess neutrons. A hypothesis was also made that the radius Rm of a β-stable isotope, which is actually measured at electron scattering experiments, is determined by the volume occupied by the matter of the core plus the volume occupied by the charge of the peripheral α-clusters. In this paper it is shown that the condition Rm = R restricts the number of excess neutrons filling the core to provide the β-stability. The number of peripheral clusters can vary from 1 to 5 and the value of R for heavy nuclei almost does not change, whereas the number of the excess neutrons should change with the number of peripheral clusters to provide the condition of Rm = R. It can explain the path of the β-stability and its width. The radii Rm of the stable isotopes with 12 ≤ Z ≤ 83 and the alpha-decay isotopes with 84 ≤ Z ≤ 116 that are stable to β-decay have been calculated.
Modern Physics Letters A
- Pub Date:
- Nuclear structure models and methods;
- Cluster models;
- Shell model;
- Nuclear Theory
- Latex2e 2.09, 10 pages, 3 figures