Study of a model Fermi liquid interacting via a hard-core repulsive potential and an attractive tail
In this paper we present an extensive microscopic study of the collective and single-particle properties of a model Fermi liquid whose particles interact via a repulsive hard-core potential and an attractive tail. The model system is intended to simulate liquid /sup 3/He. The study is based on an approximate scheme of Singwi, Tosi, Land and Sjoelander (STLS) which was devised to treat correlations in Coulomb Fermi liquids. The primary aim of this study is to learn whether the model system is capable of reproducing some of the salient features observed in normal liquid /sup 3/He, and about the role of the repulsive and attractive parts of the potential. We have calculated the Landau parameters F/sub 0//sup s/ and F/sub 0//sup a/ and their variation with pressure, the wave number and pressure dependence of the spin-symmetric and spin-anti-symmetric polarization potentials, pressure dependence of the dispersion of the zero sound, the static structure factors and the quasiparticle mass. Although we make no quantitative claims when comparing our calculations with experiments in real liquid /sup 3/He, we do conclude that our model system within the framework of the STLS scheme can account qualitatively for the latter. Besides, since the theory is microscopic in nature and is parameter free, it has enabled us to understand better the role of the repulsive and the attractive parts of the bare potential in determining the properties of liquid /sup 3/He. 27 figs., 2 tabs.
- Research Organization:
- Argonne National Lab. (ANL), Argonne, IL (United States)
- DOE Contract Number:
- W-31109-ENG-38
- OSTI ID:
- 6342814
- Report Number(s):
- ANL/PPRNT-89-121; ON: DE89008378
- Resource Relation:
- Other Information: Portions of this document are illegible in microfiche products
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
SUPERCONDUCTIVITY AND SUPERFLUIDITY
FERMI GAS
MATHEMATICAL MODELS
CORRELATION FUNCTIONS
EFFECTIVE MASS
FERMI LEVEL
HARD-CORE POTENTIAL
RANDOM PHASE APPROXIMATION
STRUCTURE FACTORS
ENERGY LEVELS
FLUIDS
FUNCTIONS
GASES
MASS
NUCLEAR POTENTIAL
POTENTIALS
640460* - Fluid Physics- Other Quantum Fluids