Accession Number : AD0258210

Title :   THE GROUND STATE OF SOLID HE3

Corporate Author : STANFORD UNIV CALIF

Personal Author(s) : SAUNDERS,EDWARD M.

Report Date : MAY 1961

Pagination or Media Count : 1

Abstract : A ground-state wave function for solid He3 in the body centered cubic phase is calculated in the form of a product of single-particle orbitals and pair correlations. The correlation part is an eigenfunction of the Pluvinage Hamiltonian with each pair in a state of zero energy in a frame in which their center of mass is at rest. Assuming that exchange effects are small, we obtain an approximate single-particle probability function from this wave function. The many-body energy is obtained from this single-particle probability function from basic principles by a plausibility argument, and leads to a pressurevolume relation that is in good agreement with observation. Exchange effects arise from the original wave function, when suitably antisymmetrized. This predicts an exchange energy of about 0.005 K near the melting curve, in agreement with a recent experiment of Adams, Meyer, and Fairbank; this exchange energy favors antiferromagnetic alignment. (Author)

Descriptors :   *NUCLEAR ENERGY LEVELS, *QUANTUM THEORY, *TRITIUM, HELIUM, ISOTOPES, MATHEMATICAL ANALYSIS, QUANTUM STATISTICS, SOLID STATE PHYSICS, SOLIDS

Distribution Statement : APPROVED FOR PUBLIC RELEASE