Potential energy surface in Hartree-Fock theory: Adiabatic or configuration-constrained?

Validity of adiabatic assumption is discussed within the constrained Hartree-Fock theory for self-conjugate nucleus Kr-72. It is shown that the adiabatic assumption does not provide a correct description for the nature of nucleus when a, configuration change is involved. The excited Hartree-Fock states and the continuously-connected constrained Hartree-Fock states are given for the first time by applying the configuration dictated constrained Hartree-Fock theory with Gogny force. The importance of self-consistency between the mean-field and the single particle wave functions is emphasized even when a small number of nucleons are involved in the configuration change.