Calculation of the mass parameter in the theory of self-cranked generator coordinates

Abstract

The self-cranked generator coordinate (SCGC) method of Haff and Wilets, together with constrained Hartree-Fock-Bogoliubov wave functions, has been used to calculate the mass parameter ${B}_{Q}$ for quadrupole deformations. A simple ansatz reduces the required integrals to a form similar to that required in Hartree-Fock calculations, and the same matrix elements of the Hamiltonian occur in both cases. The results are sensitive to numerical approximations and care must be exercised to maintain accuracy. Since the SCGC method adds another variational function, the energy is lowered relative to the usual generator coordinate method, and hence ${B}_{Q}$ is increased. For a particular sample calculation, the correction more than doubled ${B}_{Q}$.NUCLEAR STRUCTURE Self-cranked generator coordinate method employed to calculate quadrupole mass parameter and potential energy. Constrained Hartree-Fock-Bogoliubov wave functions. $^{108}\mathrm{Ru}$.