Recent analyses of the collective mode data in both the $A$ and $B$ phases of superfluid ${}_{}{}^3{}_{}{}^{}\mathrm{He}$ suggest that the $f$-wave pairing interaction is attractive and large enough to lead to observable shifts in the frequencies of the real squashing mode of ${}_{}{}^3{}_{}{}^{}\mathrm{He}-B$ and the clapping mode of ${}_{}{}^3{}_{}{}^{}\mathrm{He}-A$. Here I consider the possibility that $f$-wave pairing correlations exist in the ordered phases of ${}_{}{}^3{}_{}{}^{}\mathrm{He}$, with or without further reduction in symmetry, as a result of an attractive $f$-wave pairing interaction.

• Received 14 April 1986

DOI:https://doi.org/10.1103/PhysRevB.34.4861