  We develop a new method of implementing the Hartree-Fock calculations. A
class of Gaussian bases is assumed, which includes the Kamimura-Gauss basis-set
as well as the set equivalent to the harmonic-oscillator basis-set. By using
the Fourier transformation to calculate the interaction matrix elements, we can
treat various interactions in a unified manner, including finite-range ones.
The present method is numerically applied to the spherically-symmetric
Hartree-Fock calculations for the oxygen isotopes with the Skyrme and the Gogny
interactions, by adopting the harmonic-oscillator, the Kamimura-Gauss and a
hybrid basis-sets. The characters of the basis-sets are discussed. Adaptable to
slowly decreasing density distribution, the Kamimura-Gauss set is suitable to
describe unstable nuclei. A hybrid basis-set of the harmonic-oscillator and the
Kamimura-Gauss ones is useful to accelerate the convergence, both for stable
and unstable nuclei.
