Ab initio calculation of superdeformed bands in $^{192}$Hg

Three superdeformed (SD) bands including states with spins Iπ≤22+ are predicted for 192Hg. The SD and normally deformed levels are calculated as eigenstates of the Griffin-Hill-Wheeler equation treated in the Gaussian overlap approximation. Potential and tensor of inertia are deduced from constrained Hartree-Fock-Bogoliubov calculations based on Gogny's force. Rates for E2 in-band transitions are deduced and compared with recent measurements. The decay out of SD bands is discussed