Ground-state properties of a sup 3 He impurity in liquid sup 4 He monolayers

Journal Article · Sun Dec 01 04:00:00 EST 1991 · Journal of Low Temperature Physics; (United States)

DOI:https://doi.org/10.1007/BF00682190· OSTI ID:5162287

Um, Chungin; Yoo, Sahngkyoon ^[1]; George, T F ^[2]

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1. Korea Univ., Seoul (Korea)
2. Washington State Univ., Pullman (United States)

The authors present the results of ground-state energies, radial distribution functions, liquid structure functions, and effective interactions for a {sup 3}He impurity in a {sup 4}He background in two dimensions. The hypernetted-chain scheme for the system described by a Jastrow-type wave function is used, taking into account the triplet correlations and elementary diagrams up to fifth order. Solving the Euler-Lagrange equations for the two-body distribution functions, which contain triplet correlation and elementary diagrams, improves the results considerably. Furthermore, as a {sup 3}He impurity is inserted into the {sup 4}He background, the ground-state energy increases, but the equilibrium density decreases from 0.0350 to 0.0336 {angstrom}{sup {minus}2}. The radial distribution function is broadened, while its maximum is lowered and shifted to the right (the direction of increasing radial distance) due to its larger zero-point energy, with therefore less localization of the {sup 3}He particle. The results are compared with Monte Carlo results and other studies.

• OSTI ID: 5162287
• Journal Information: Journal of Low Temperature Physics; (United States), Journal Name: Journal of Low Temperature Physics; (United States) Vol. 85:5-6; ISSN 0022-2291; ISSN JLTPA
• Country of Publication: United States
• Language: English

Related Subjects

665420* -- Superfluidity-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
DISPERSIONS
DISTRIBUTION FUNCTIONS
ENERGY LEVELS
EVEN-EVEN NUCLEI
EVEN-ODD NUCLEI
FUNCTIONS
GROUND STATES
HELIUM 3
HELIUM 4
HELIUM ISOTOPES
IMPURITIES
INTERACTIONS
ISOTOPES
JASTROW THEORY
LIGHT NUCLEI
MIXTURES
NUCLEI
STABLE ISOTOPES