NMR Relaxation Time in SuperfluidHe3

The temperature dependence of the NMR relaxation time introduced by Combescot and Ebisawa, ${\tau }_{\mathrm{CE}}$, is studied from the microscopic theory. It diverges like ${(1-\frac{T}{T_c})}^{-\frac{1}{2}}$ near $T_c$, in agreement with Leggett and Takagi's prediction. At low temperature, it grows like $\frac{1}{T^4}$ in the $A$ phase (except at extremely low temperature where it grows like $\frac{1}{T^5}$) and like $T^{-\frac{1}{2}}{e}^{\frac{\Delta }{T}}$ in the $B$ phase.