Exponential convergence and acceleration of Hartree-Fock calculations

We show that we can expect an exponential behaviour for the convergence of the Hartree-Fock solution during the HF iteration procedure. We use this property to extrapolate some collective degrees of freedom, in this case the shape, in order to speed up the self-consistent calculation. For axially deformed nuclei we apply the method to the quadrupole moment which corresponds to a simple scaling transformation on the single particle wave functions. Results are shown for the deformed nuclei ²⁰Ne and ²⁸Si with a Skyrme interaction.