Variational Fermi--hypernetted-chain approximation (FHNC/. alpha. ( r )) calculations with. sigma. sub z -dependent correlations in liquid sup 3 He

Journal Article · Mon Oct 01 04:00:00 EDT 1990 · Physical Review, B: Condensed Matter; (USA)

DOI:https://doi.org/10.1103/PhysRevB.42.6018· OSTI ID:6255842

Arias de Saavedra, F; Buendria, E ^[1]

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1. Departamento de Fisica Moderna, Universidad de Granada, 18071 Granada (Spain)

The ground state of liquid {sup 3}He at zero temperature is approximated by a Jastrow two-body trial wave function including {sigma}{sub {ital z}}-dependent correlations. The variational calculations are performed in the framework of the Fermi-hypernetted-chain (FHNC) approximation, and the elementary diagrams are estimated with two different extensions of the interpolating equation approach (FHNC/{alpha}({ital r})) (Fabrocini and Rosati, Nuovo Cimento D 1, 615 (1982)). A comparison with a variational Monte Carlo calculation (Kuerten and Clark, Phys. Rev. B 30, 1342 (1984)) shows good agreement for the expectation values of the total, kinetic, and potential energies. The increase of the total energy over a {sigma}{sub {ital z}}-independent calculation, working with a semioptimized correlation function, is approximately 0.2 K at the equilibrium density for both Lennard-Jones and Aziz HFDHE2 potentials.

• OSTI ID: 6255842
• Journal Information: Physical Review, B: Condensed Matter; (USA), Journal Name: Physical Review, B: Condensed Matter; (USA) Vol. 42:10; ISSN 0163-1829; ISSN PRBMD
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ABSOLUTE ZERO TEMPERATURE
CORRELATION FUNCTIONS
ENERGY LEVELS
EVEN-ODD NUCLEI
FUNCTIONS
GROUND STATES
HELIUM 3
HELIUM ISOTOPES
INTERPOLATION
ISOTOPES
JASTROW THEORY
LENNARD-JONES POTENTIAL
LIGHT NUCLEI
MONTE CARLO METHOD
NUCLEI
NUMERICAL SOLUTION
POTENTIALS
STABLE ISOTOPES
VARIATIONAL METHODS