In connection with recent experiments on excitation in which Mott insulators change to conductors, we study the properties of excited states beyond gap as quasi-stationary for a two-dimensional Hubbard (t-t'-U) model at half filling. A variational Monte Carlo method is used trial wave functions paramagnetic or normal (PM), superconducting dx2-y2-wave (d-SC), isotropic s-wave, and extended s-wav...