He3phase transition in dilute mixtures ofHe3in superfluidHe4

Abstract

A theory of pairing, which includes many-body effects and is exact in the limit of low density, is employed to calculate a pairing interaction for the ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ component which contains concentration-dependent effects. Using the latest ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ effective potentials the maximum transition temperature at low pressure is estimated to be of order ${10}^{-4\mathrm{}}$ mK. At high pressure both $s$- and $p$-state transitions may occur at temperatures as high as the 0.1-mK range.