Description of 158Er at ultrahigh spin in nuclear density functional theory

Rotational bands in $^{158}$Er at ultra-high spin have been studied in the framework of relativistic and non-relativistic nuclear density functional theories. Consistent results are obtained across the theoretical models used but some puzzles remain when confronted with experiment. Namely, the many-body configurations which provide good description of experimental transition quadrupole moments and dynamic moments of inertia require substantial increase of the spins of observed bands as compared with experimental estimates, which are still subject to large uncertainties. If, however, the theoretical spins assignments turned out to be correct, the experimental band 1 in $^{158}$Er would be the highest-spin structure ever observed.