Quadrupole pairing and downturn of moment of inertia for the superdeformed band ${}^{194}\mathrm{Hg}\mathrm{}\left(1\right)\mathrm{}$

The $\omega$ variation of moments of inertia of superdeformed bands is investigated by a particle-number conserving (PNC) method of the cranked shell model Hamiltonian with monopole and quadrupole pairings. The observed $\omega$ dependence of the moments of inertia for ${}^{192,194}\mathrm{Hg}\mathrm{}\left(1\right),$ particularly the shift in $J^{\mathrm{}\left(2\right)\mathrm{}}$ downturn for ${}^{194}\mathrm{Hg}\mathrm{}\left(1\right)\mathrm{}$ to a higher frequency, are well reproduced by the PNC calculation. The microscopic mechanism of the $\omega$ dependence of $J^{\mathrm{}\left(2\right)\mathrm{}}$ (contribution to $J^{\mathrm{}\left(2\right)\mathrm{}}$ from each cranked Nilsson orbital) is clearly exhibited in the PNC calculation. The shift of the $J^{\mathrm{}\left(2\right)\mathrm{}}$ downturn for ${}^{194}\mathrm{Hg}\mathrm{}\left(1\right)\mathrm{}$ is mainly attributed to the protons in the $N=6\mathrm{}$ intruder orbitals under the influence of $Q_{20}$ quadrupole pairing.