Comparative study of the VMI model expressions for the fitting of the rotational spectrum of a single intrinsic wave function

Abstract

Abstract Skyrme's method is used to introduce a correlation coefficient which tells us which of the VMI model expressions should be considered better in the calculation of the projected energies E J when one uses a single intrinsic wave function for a set of good J -states. As an application of the correlation coefficient, we have shown that out of several VMI model expressions for the energy which have the same overlap with the Hamiltonian, the one having minimum dispersion should be considered to be the best choice. A remark is passed that the Holmberg-Lipas model can also be derived using Bohr and Mottelson's conditions. Numerical calculations are carried out for the nuclei 28 Si and 36 Ar using Ripka's Hartree-Fock wave functions to compare Holmberg-Lipas model with the one in which one directly expands the energy E J in powers of J ( J + 1), where J is the total angular momentum.