Charge Radii of βSTABLE Nuclei
Abstract
In a previous work it was shown that the radius of a nucleus R is determined by the αcluster structure and can be estimated on the number of αclusters disregarding the number of excess neutrons. A hypothesis was also made that the radius R_{m} of a βstable 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 αclusters. In this paper it is shown that the condition R_{m} = R restricts the number of excess neutrons filling the core to provide the βstability. 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 R_{m} = R. It can explain the path of the βstability and its width. The radii R_{m} of the stable isotopes with 12 ≤ Z ≤ 83 and the alphadecay isotopes with 84 ≤ Z ≤ 116 that are stable to βdecay have been calculated.
 Publication:

Modern Physics Letters A
 Pub Date:
 2006
 DOI:
 10.1142/S0217732306020226
 arXiv:
 arXiv:nuclth/0512023
 Bibcode:
 2006MPLA...21.1889N
 Keywords:

 21.60.n;
 21.60.Gx;
 21.60.Cs;
 Nuclear structure models and methods;
 Cluster models;
 Shell model;
 Nuclear Theory
 EPrint:
 Latex2e 2.09, 10 pages, 3 figures