Estimate of the gap parameter for superfluid3Hein aerogel

Abstract

We infer the magnitude of the superfluid gap for 3 He in aerogel from measurements of the normal fluid density as a function of temperature. We compute the effective Yosida function for two different aerogel samples over a range of pressures. We find that the suppression factor of the zero-temperature superfluid gap, scaled by k B T c , ranges from 0.5 to 0.8 as compared to the pressure-dependent weak-coupling plus gap, with the scaling factor dependent on the suppression of T c relative to the bulk value.