Abstract
The states available to a light particle in models for gases and gas mixtures are investigated. The models are characterized by atoms (molecules) which mutually interact as hard spheres and which interact with a light particle via a short ranged repulsive interaction. The trends in the densities of states for the light particle, the highest energy for localization, and the number of localized states are pursued as a function of the physical parameters—the particle densities of the constituents, the scattering strengths, the packing fraction, and the relative atomic sizes—using a variational technique and numerical computations. Mean field effects and those due to fluctuations may be isolated. It is noted that these type of calculations provide a context within which experiments, such as those for ortho-positronium annihilation rates in gases, may be analyzed.
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