Abstract
In this paper an anisotropic exchange interaction is derived and separately fit to high- and low-frequency magnetic neutron scattering data of ${\mathrm{UPt}}_{3}$. This information is used to construct a superconducting pair potential in the strong spin-orbit coupling limit. Solutions of the gap equations show that both high- and low-frequency fluctuations support an ${A}_{1u}$ order parameter, which differ in their vector orientation. Implications of these results in relation to the unique phase diagram ${\mathrm{UPt}}_{3}$ will be discussed.
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