Abstract
We examine the effects of medium dependence of the two-body dynamics on the many-body properties of Fermion systems, with approximation ultimately aimed at lower densities for all temperatures. The dynamics are initially treated in terms of a pair-composite formulation given previously, and the underlying single-Fermion nature of the pair constituents allows interpretation via more conventional thermal many-body formalism. This permits construction of coupled equations for composite amplitudes and bound states, single-particle energy and momentum distributions, and macroscopic thermodynamic properties. We explore differences between our results and those of traditional theories which incorporate two-body correlations in some fashion, and we display explicitly how correct limiting results are recovered from our equations when the density and/or coupling strength is decreased. Finally, we provide an interpretation of our results via a form of quasiparticle quantum cluster expansion analogous to the familiar particle quantum cluster expansion.
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This work performed under the auspices of the U.S. Department of Energy by the Lawrence Livermore National Laboratory under contract No. W-7405-ENG-48.
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Goldberg, A., Puff, R.D. Medium-dependent dynamics in Fermi systems from a pair-composite viewpoint. J Stat Phys 33, 571–594 (1983). https://doi.org/10.1007/BF01018835
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DOI: https://doi.org/10.1007/BF01018835