arXiv:nucl-th/0610087·v1·Nuclear Theory
An extended Vlasov equation with pairing correlations
V. I. Abrosimov (1)🇺🇦 · D. M. Brink (2)🇬🇧 · A. Dellafiore (3 and 4)🇮🇹 · F. Matera (3 and 4) ((1) Institute for Nuclear Research, Kiev, Ukraine, (2) Oxford University, Oxford, U.K., (3) Istituto Nazionale di Fisica Nucleare, Sezione di Firenze, (4) Dipartimento di Fisica, Universita' degli Studi di Firenze, Italy)🇮🇹
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.
Comments: LaTex, 9 pages, 3 figures, talk given at the 11th International Conference on Nuclear Reaction Mechanisms, Varenna (Italy), June 2006