$^{16}$O + $^{16}$O molecular structures of superdeformed bands in S isotopes

Structures of excited states in $^{33\mbox{-}36}$S have been investigated by using the antisymmetrized molecular dynamics and the generator coordinate method (GCM). GCM basis wave functions are calculated by energy variation with a constraint on a quadrupole deformation parameter $\beta$. By performing GCM after parity and angular momentum projections, coexistence of positive- and negative-parity superdeformed (SD) bands are obtained, as well as low-lying states. The SD bands have structures of $^{16}$O + $^{16}$O + valence neutrons in molecular orbitals around two $^{16}$O cores in a cluster picture.