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Quasiparticle scattering in Fermi fluids

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Abstract

The scattering of quasiparticles in a normal Fermi fluid is analyzed within the framework of Landau's kinetic theory, and a generalized Bethe-Salpeter equation for the scattering amplitude is derived. This integral equation accounts for both large and small momentum and energy transfers ; in the forward-scattering limit it reduces to Landau's well-known equation. An explicit expression for the scattering probability is also derived. An off-diagonal generalization of the quasiparticle interaction function f is introduced and its calculation from microscopic theory is discussed. The results are applied to an explicit calculation of the scattering amplitude in a dilute hard-sphere Fermi gas, to second order in the scattering-length parameter k F a s, and the calculation is shown to be consistent with symmetry requirements for the scattering of fermions.

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Author notes

  1. James C. Rainwater

    Present address: Department of Chemistry, University of British Columbia, Vancouver, B.C., Canada

Authors and Affiliations

  1. Department of Physics and Astrophysics, University of Colorado, Boulder, Colorado

    Franz Mohling & James C. Rainwater

Authors
  1. Franz Mohling
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  2. James C. Rainwater
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Additional information

Based in part on a Ph.D. thesis submitted to the University of Colorado.

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Mohling, F., Rainwater, J.C. Quasiparticle scattering in Fermi fluids. J Low Temp Phys 20, 243–267 (1975). https://doi.org/10.1007/BF00117796

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