Anisotropic susceptibilities and NMR shifts in superfluidHe3

The effect of terms describing the anisotropic susceptibilities on the NMR shifts observed in superfluid ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ is discussed. It is shown that they are such that the isotropic susceptibility in the expressions of Leggett is replaced by the correct temperature-dependent susceptibilities. The anisotropy energies of the Balian-Werthamer (BW) state are calculated and shown to be of order ${\left(\frac{\gamma H}{T_c}\right)}^2$ times those pinning the spin and orbit coordinates in either the BW or Anderson-Brinkman-Morel state.