Josephson critical current densities ${J}_{\mathrm{c}}$ between a single crystal ${\mathrm{UPt}}_{3}$ and an $s$-wave superconductor have been investigated for ${\mathrm{UPt}}_{3}\ensuremath{-}\mathrm{Cu}\ensuremath{-}\mathrm{Nb}$ junctions and ${\mathrm{UPt}}_{3}\ensuremath{-}\mathrm{Nb}$ junctions. The anisotropic temperature dependence is observed at about the lower critical temperature ${T}_{\mathrm{c}}^{\ensuremath{-}}$ of ${\mathrm{UPt}}_{3}$; the increase in ${J}_{\mathrm{c}}$ with decreasing temperatures becomes fast below ${T}_{\mathrm{c}}^{\ensuremath{-}}$ for a current flow parallel to the crystallographic $c$ axis and it becomes rather slow below ${T}_{\mathrm{c}}^{\ensuremath{-}}$ for a current flow parallel to the $b$ axis. This anisotropy gives clear evidence that the Josephson effect reflects the anisotropic superconductivity of ${\mathrm{UPt}}_{3}$.
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