Kinetic equation for finite systems of fermions with pairing

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dc.creatorAbrosimov, V. I.
dc.creatorBrink, D. M.
dc.creatorDellafiore, A.
dc.creatorMatera, F.
dc.date2007-04-02
dc.date2007-12-18
dc.date.accessioned2026-07-07T11:20:07Z
dc.date.available2026-07-07T11:20:07Z
dc.descriptionThe solutions of the Wigner-transformed time-dependent Hartree--Fock--Bogoliubov equations are studied in the constant-$Δ$ approximation. This approximation is known to violate particle-number conservation. As a consequence, the density fluctuation and the longitudinal response function given by this approximation contain spurious contributions. A simple prescription for restoring both local and global particle-number conservation is proposed. Explicit expressions for the eigenfrequencies of the correlated systems and for the density response function are derived and it is shown that the semiclassical analogous of the quantum single--particle spectrum has an excitation gap of $2Δ$, in agreement with the quantum result. The collective response is studied for a simplified form of the residual interaction.
dc.descriptiondeeply revised, to be published in Nucl. Phys. A
dc.identifierhttps://arxiv.org/abs/0704.0152
dc.identifierhttp://arxiv.org/abs/0704.0152
dc.identifierNucl.Phys.A800:1-20,2008
dc.identifierdoi:10.1016/j.nuclphysa.2007.11.009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193865
dc.subjectNuclear Theory
dc.titleKinetic equation for finite systems of fermions with pairing
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