Bound-state contributions to the triple-collision operator

James A. McLennan

Physica A: Statistical Mechanics and its Applications, 1981, vol. 106, issue 1, 278-289

Abstract: The kinetic theory for a quantum gas with Boltzmann statistics is analyzed for the case when bound pairs occur. The method used is the binary-collision expansion, applied to the triple-collision operator which occurs in the density-expansion of a Green-Kubo formula. The bound-state contributions are extracted with the aid of the Faddeev analysis of the three-body problem. The results take the form of a binary atom-molecule collision operator, in which the processes of molecular formation and breakup, rearrangement collisions, and elastic and inelastic atom-molecule scattering each contribute a non-negative reaction rate. Reducible diagrams contribute the leading part to rearrangement collisions, and also a correlation correction to the Boltzmann collision operator. The fluxes in the Green-Kubo formula are assumed to be sums of single-particle functions; the atom-molecule collision operator then acts on fluxes which are a sum of an atom term plus a two-particle term obtained by averaging over the molecular state.

Date: 1981
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:106:y:1981:i:1:p:278-289

DOI: 10.1016/0378-4371(81)90225-9

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