6533b824fe1ef96bd1280c88
RESEARCH PRODUCT
Response functions for infinite fermion systems with velocity dependent interactions
Carmen Garcia-recioVan Giai NguyenL.l. SalcedoJesús Navarrosubject
Physics010308 nuclear & particles physicsOscillationNuclear TheoryGeneral Physics and AstronomyFermionNuclear matter01 natural sciencesRenormalizationPolarizabilityQuantum electrodynamicsQuantum mechanics0103 physical sciencesCoulomb010306 general physicsRandom phase approximationEnergy functionaldescription
Response functions of infinite Fermi systems are studied in the framework of the self-consistent random phase approximation (RPA). Starting from an effective interaction with velocity and density dependence, or equivalently from a local energy density functional, algebraic expressions for the RPA response function are derived. Simple formulae for the energy-weighted and polarizability sum rules are obtained. The method is illustrated by applications to nuclear matter and liquid 3 He. In nuclear matter, it is shown that existing Skyrme interactions give spin-isospin response functions close to those calculated with finite range interactions. The different renormalization of longitudinal and transverse Coulomb sum rules in nuclear matter is discussed. In 3 He, the low-lying collective spin oscillation can be well described in a wide range of momenta with a Skyrme-type interaction if the relevant Landau parameters are fitted. For the high-lying density oscillation, the introduction of a finite range term in the energy functional improves considerably the agreement with the data.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1992-03-01 |