A dilute hard-sphere bose-gas model calculation of low-density atomic hydrogen gas properties
✍ Scribed by D. G. Friend; R. D. Etters
- Publisher
- Springer US
- Year
- 1980
- Tongue
- English
- Weight
- 274 KB
- Volume
- 39
- Category
- Article
- ISSN
- 0022-2291
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✦ Synopsis
The isolated pair wave equation is solved for two isolated hydrogen atoms interacting via the 3~+ potential, from which a scattering length a = O. 72.1t is determined and used as an effective hard-core diameter in a dilute hard-sphere Bose-gas model calculation. In the low-density limit, these results for the ground state energy compare closely with earlier Monte Carlo data. Using established criteria for the values of density and temperature over which the hard-sphere model is valid, we have calculated the energy, first-and secondsound velocities, depletion factor, and superfluid transition temperature, and expressions are given for the specific heat and normal fluid fraction. The scattering length of atomic hydrogen interacting via the singlet potential is found to be O. 12/t and similar calculations for helium give a scattering length much too large to justify application of the hard-sphere model.