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An extended Vlasov equation with pairing correlations

V. I. Abrosimov·D. M. Brink·A. Dellafiore·F. Matera
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Abstract

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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V. I. Abrosimov, D. M. Brink, A. Dellafiore, F. Matera. 2006-10-23. An extended Vlasov equation with pairing correlations. https://arxiv.org/abs/nucl-th/0610087

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