Microscopic study of the macroscopic rotational parameters

A systematic procedure, based on the theory of probability, is described to calculate the collective parameters of the variable moment of inertia models. Its advantage over the generalized Skyrme procedure are discussed. The numerical calculations on the nucleus 20Ne using Ripka's deformed Hartree-Fock wavefunctions show that the values of the energies Esub(J) using the method of moments are as good as those calculated using Skyrme's procedure, where one has to handle much higher-rank particle operators. An approximation scheme is described to evaluate the matrix elements of the square root and other complicated functions of J2 with respect to the deformed intrinsic wavefunction /PHI> which are generated by large-scale Hartree-Fock calculations. (author)