Nodes of the Gap Function and Anomalies in Thermodynamic Properties of the B-Phase of Superfluid 3He

Departures of thermodynamic properties of the B-phase of three-dimensional superfluid ³He from the predictions of BCS theory are analyzed. Attention is focused on deviations of the ratios and from their BCS values, where is the pairing gap at zero temperature, T_c is the critical temperature, and C_s and C_n are the superfluid and normal specific heats. We attribute these deviations to the momentum dependence of the gap function , which becomes well pronounced when this function has a pair of nodes lying on either side of the Fermi surface. We demonstrate that such a situation arises if the P-wave pairing interaction, evaluated at the Fermi surface, has a sign opposite to that anticipated in BCS theory. Taking account of the momentum structure of the gap function, we derive a closed relation between the two ratios that contains no adjustable parameters and agrees with the experimental data. Some important features of the effective pairing interaction are inferred from the analysis.