  The importance of deformation changes and the possible role of proton-neutron
pairing correlations on the properties of paired band crossings at
superdeformation in the $A\sim 60$ mass region have been analyzed. The present
analysis, supported in part by the cranked relativistic Hartree-Bogoliubov
calculations for the SD band in $^{60}$Zn, suggests that when going from
$^{60}$Zn to neighboring odd nuclei the properties of paired band crossings are
strongly influenced by deformation changes. A number of questions related to
the superdeformation in the $A\sim 30$ mass region has been studied with the
cranked relativistic mean field theory and the configuration-dependent cranked
Nilsson-Strutinsky approach.
