The self-cranked generator coordinate (SCGC) formalism described earlier for computing the mass parameter for collective nuclear motion is cast into a form containing no explicit reference to the Hamiltonian. The expression is then specialized to the nuclear model of deformed harmonic oscillators. The usual Gaussian overlap approximation is eschewed in favor of direct evaluation of the appropriate matrix elements. Exchange terms are handled by a diagrammatic technique. The validity of certain assumptions made in the derivation of the mass formula is tested numerically. The effects of pairing and of short-range Jastrow correlations are investigated. The SCGC mass parameter is computed for several $N=Z$ nuclei and found to be smaller than either the cranking or the irrotational values, if no correlations are included. The inclusion of short-range correlations is shown to lead to important changes in the value of the mass parameter.

NUCLEAR STRUCTURE Quadrupole mass parameter calculated. Self-cranked generator coordinate formalism. Correlations included. Compared to irrotational flow values.

• Received 22 January 1974

DOI:https://doi.org/10.1103/PhysRevC.10.353