Properties of the predicted superdeformed band in ${}^{32}\mathrm{S}$

Properties like the excitation energy with respect to the ground state, moments of inertia, $B\left(E2\mathrm{}\right)\mathrm{}$ transition probabilities, and stability against quadrupole fluctuations at low spin of the predicted superdeformed band of ${}^{32}\mathrm{S}$ are studied with the Gogny force D1S using the angular momentum projected generator coordinate method for the axially symmetric quadrupole moment. The self-consistent cranking method is also used to describe the superdeformed rotational band. In addition, properties of some collective normal deformed states are discussed.