Effects of self-consistency in semiclassical pairing theory

An extended Vlasov equation, derived from the time-dependent Hartree–Fock–Bogoliubov equation of motion, is used to study the effects of pairing on the nuclear density-density linear response function in semiclassical approximation. Within the approximations adopted here, the fluctuations of the pai...

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Bibliographic Details
Published in:Journal of physics. Conference series 2011-01, Vol.267 (1), p.012051
Main Authors: Abrosimov, V I, Brink, D M, Dellafiore, A, Matera, F
Format: Article
Language:English
Subjects:
Density
Equations of motion
Physics
Response functions
Sum rules
Vlasov equations
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Summary:An extended Vlasov equation, derived from the time-dependent Hartree–Fock–Bogoliubov equation of motion, is used to study the effects of pairing on the nuclear density-density linear response function in semiclassical approximation. Within the approximations adopted here, the fluctuations of the pairing field are purely imaginary and play a crucial role in eliminating a spurious mode that gives fluctuations of the number of particle and in reproducing the correct value of the energy-weighted sum rule. The semiclassical approach seems to have some difficulty in describing pairing vibrations. Further work on this problem is needed.
ISSN:1742-6596
1742-6588
1742-6596
DOI:10.1088/1742-6596/267/1/012051