Second-order corrections in the scattering length shift the zero-sound velocity by factors exp(6) (density) and exp(-2) (polarization) relative to RPA predictions in a weakly interacting Fermi gas.
Note that even and odd polyno- mials are respectively symmetric and antisymmetric about the Fermi surface:Q n(−y) = (−1)nQn(y)
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A low-energy effective Hamiltonian for Landau quasiparticles: II Application to the contact Fermi gas
Second-order corrections in the scattering length shift the zero-sound velocity by factors exp(6) (density) and exp(-2) (polarization) relative to RPA predictions in a weakly interacting Fermi gas.