Backbending inCr50

The collective yrast band and the high spin states of the nucleus ${}_{}{}^{50}{}_{}{}^{}\mathrm{Cr}$ are studied using the spherical shell model and the cranked Hartree-Fock-Bogoliubov method. The two descriptions lead to nearly the same values for the relevant observables. A first backbending is predicted at $I=10\mathrm{}\hslash$ corresponding to a collective to noncollective transition. At $J=16\mathrm{}\hslash$ a second backbending occurs, associated to a configuration change that can also be interpreted as a spherical to triaxial transition.