Enhancedp-wave pairing in polarized3He-4He mixtures

The potential model of Bardeen, Baym, and Pines is generalized to describe polarized³He-⁴He-mixtures. The zero-field strength and range of the potential as a function of³He-density and pressure are determined by transport data and, for the first time, the magnetostriction. It is found that at higher pressures the magnetostriction leads to a³He-density-dependence in the strength of the potential, an effect which only negligibly appears when fitting the transport data. The model predicts ap-wave superfluid transition with a transition temperatureT _c ^p which is highest at the maximum solubility. Including the correction for the polarization-dependence of the maximum solubility, a large increase inT _c ^p with polarization is found. The size of the enhancement depends on the zero fieldT _c ^p which in turn depends on which set of normal state data we fit.