Theory of Dilute Solutionsl ofHe3in LiquidHe4

We present a microscopic calculation of the effective mass and interactions of ${\mathrm{He}}^3$ quasiparticles in dilute ${\mathrm{He}}^3$-${\mathrm{He}}^4$ solutions. The theory is first-principles in the sense that it requires no other information than the bare masses of the helium atoms and a realistic two-particle potential. In this note we report our findings in the limiting case of zero concentration.