Theory of Dilute Solutions ofHe4in LiquidHe3at Low Temperatures

Expresssions for the $l=0\mathrm{}$ forward scattering amplitudes for ${\mathrm{He}}^3$-${\mathrm{He}}^4$ and ${\mathrm{He}}^4$-${\mathrm{He}}^4$ quasiparticle pairs in dilute solutions of ${\mathrm{He}}^4$ in liquid ${\mathrm{He}}^3$ are derived in terms of thermodynamic quantities. A Fermi-liquid theory of the solutions is developed, and various thermodynamic quantities are derived. The theory agrees well with the available experimental data.