Intrinsic vs Laboratory Frame Description of the Deformed Nucleus48Cr

The collective yrast band of the nucleus ${}^{48}\mathrm{Cr}$ is studied using the spherical shell model and the Hartree-Fock-Bogoliubov (HFB) method. Both approaches produce basically the same axially symmetric intrinsic state up to the—accurately reproduced—observed backbending. Agreement between both calculations extends to most observables. The only significant discrepancy comes from the static moments of inertia and can be attributed to the need of a more refined treatment of pairing correlations in the HFB calculation.