Scattering Properties of Spin-Polarized Liquid 3He

In this paper, the scattering properties of spin-polarized liquid 3He (3He↑) are studied using the Galitskii-Migdal-Feynman (GMF) formalism. The effective cross sections—including the total, diffusion and viscosity cross sections—are calculated. It is found that these cross sections tend to decrease with increasing spin polarization 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, especially 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 sections 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 formalism. We deduce that hole-hole scattering plays an essential role in the scattering properties.