  The collective yrast band of the nucleus $^{48}$Cr is studied using the
spherical shell model and the 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.
