An extended Vlasov equation with pairing correlations

Details An extended Vlasov equation with pairing correlations An extended Vlasov equation with pairing correlations

2006-10-23

arxiv.org/abs/nucl-th/0610087v1

Physics

Nuclear Physics

Nuclear Theory

LaTex, 9 pages, 3 figures, talk given at the 11th International Conference on Nuclear Reaction Mechanisms, Varenna (Italy), Ju

Scientific paper

A simplified version of the Wigner--transformed time--dependent Hartree--Fock--Bogoliubov equations, leading to a solvable model for finite systems of fermions with pairing correlations, is introduced. In this model, pairing correlations result in a coupling of the Vlasov--type equation for the normal phase--space density with that for the imaginary part of the anomalous density. The effect of pairing correlations on the linear response of the system is studied for a finite one--dimensional system and an explicit expression for the correlated propagator is given.

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