Abstract
In this paper, the scattering properties of spin-polarized liquid 3 He ( 3 He ↑ ) are studied using the Galitskii-Migdal-Feynman (GMF) formalism. The effective cross sections—including the total, diffusion and viscosity cross sections—are cal- culated. It is found that these cross sections tend to decrease with increasing spin po- larization f . The S-wave scattering cross section is the most significant partial wave contributing to the total cross section at low energy. This contribution decreases with increasing f ; whereas the contribution of the higher angular-momentum waves, es- pecially the P-wave, increases with increasing f . The most prominent features of our calculations are a resonance and a Ramsauer-Townsend minimum in the cross sec- tions at low temperatures. For comparison purposes, the effective cross sections in the Brueckner-Bethe-Goldstone (BBG) formalism are calculated. These remain zero up to the Fermi momentum, beyond which they are equal to those given by the GMF for- malism. We deduce that hole-hole scattering plays an essential role in the scattering properties.
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