Dipole transitions linking signature partner superdeformed bands in 19
3Hg have been observed. Measurements of the photon decay branching rat
ios, taken together with the average superdeformed quadrupole moment m
easured in neighboring nuclei, enable the absolute M 1 strengths to be
determined. From these data, using the strong coupling model, we find
(g(K)-g(R))K/Q0=-0.14+/-0.01 (eb)-1, g(K)=-0.65+/-0.14 with OMEGA=2.8
+/-0.8. These data are consistent with the superdeformed neutron orbit
al being [512]5/2- as predicted by cranked Woods-Saxon calculations.