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Phys. Rev. A 8, 949 - 963 (1973)

t-Matrix Calculations of the Ground-State Energies of Solid He3 and Solid H2

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V. Canuto * and J. Lodenquai †
Institute for Space Studies, Goddard Space Flight Center, National Aeronautics and Space Administration, New York

S. M. Chitre ‡
Institute for Space Studies, Goddard Space Flight Center, National Aeronautics and Space Administration, New York
Belfer Graduate School of Science, Yeshiva University, New York

Received 22 March 1973

The ground-state energies of solid He3 and H2 at various densities are calculated using a self-consistent method in the t-matrix formulation. The two-body equation of motion is solved by expanding the two-body wave function in terms of partial waves. The partial-wave expansion gives rise to a set of coupled differential equations which are solved numerically for the ground-state eigenfunctions. The calculations for He3 are done using three different two-body potentials, the Lennard-Jones potential, the Beck potential, and the Frost-Musulin potential. The calculations for H2 are done using the Mason-Rice two-body potential. A bcc structure is assumed for solid He3, while an fcc structure is assumed for solid H2. Exchange effects are neglected. Figures and tables are given which compare the present results with those of other authors.


©1973 The American Physical Society

URL: http://link.aps.org/abstract/PRA/v8/p949
DOI: 10.1103/PhysRevA.8.949

* Also with the Dept. of Physics, City College of New York, New York, N.Y.
† National Academy of Sciences-National Research Council Resident Research Associate.
‡ On leave of absence from the Tata Institute of Fundamental Research, Bombay, India.

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