Comparison of time-dependent Hartree-Fock with the exact solution in a solvable model

Nouredine Bouayad, Nouredine Zettili

M. Tohyama

Yukihisa Nogami, Chindhu S. Warke

Models of quantum mechanical many-body systems are presented such that the Hartree-Fock equations for them admit analytical solutions, which simulate an isolated atomic nucleus or two nuclei colliding with each other.NUCLEAR REACTIONS Scattering theory, time-dependent Hartree-Fock method.

M. Tohyama, Peter Schuck

An extension of the time-dependent Hartree-Fock-Bogoliubov theory (ETDHFB) which includes higher-order effects such as screening of the pairing correlation is proposed. ETDHFB is applied to a pairing model and a fermion system trapped in a harmonic potential to test its feasibility by comparison with exact solutions. With the use of perturbative expressions for the pairing tensor and the two-body density matrix derived from ETDHFB, the screening effect is investigated for atomic fermion systems and isotopes of tin nuclei. It is found that the screening effect on the pairing correlation is not significant.

正俊 山村, 惇 栗山

N. Canosa, A. Lopez, Angel Ricardo Plastino +1 more

A systematic procedure that allows for corrections of arbitrary order to the time-dependent Hartree-Fock approach is presented and illustrated with reference to an exactly solvable U(3) model. Substantial improvements over the uncorrelated picture are obtained.