Effective Coordinate-Space Potential BetweenHe3Atoms in SuperfluidHe4

Abstract

Starting from the helium interatomic potential for isolated atoms and the difference between the volume per atom of ${\mathrm{He}}^3$ and ${\mathrm{He}}^4$ in solution, an effective ${\mathrm{He}}^3$-${\mathrm{He}}^3$ interaction is derived and used to calculate the solution properties (specific heat, magnetic susceptibility, ${\mathrm{He}}^3$ "sound velocity," spin diffusion, thermal conductivity, viscosity, and maximum solubility) for small concentrations of ${\mathrm{He}}^3$.