English

An extended Vlasov equation with pairing correlations

Nuclear Theory 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.nucl-th/0610087,
  title  = {An extended Vlasov equation with pairing correlations},
  author = {V. I. Abrosimov and D. M. Brink and A. Dellafiore and F. Matera},
  journal= {arXiv preprint arXiv:nucl-th/0610087},
  year   = {2007}
}

Comments

LaTex, 9 pages, 3 figures, talk given at the 11th International Conference on Nuclear Reaction Mechanisms, Varenna (Italy), June 2006

R2 v1 2026-07-22T18:37:20.374Z