A new mechanism for the backbending phenomenon in Cr-48 is discussed b
ased on a careful analysis of the yrast band, where no level crossing
of the single-particle orbits is expected. A newly developed numerical
code for solving the self-consistent cranked Hartree-Fock-Bogoliubov
(HFB) equation with a maximum overlap criterion is applied to Cr-48, a
nd various continuous cranked HFB solutions forming many rotational ba
nds are obtained. By using the first derivative of the cranked HFB wav
e function with respect to the total angular momentum, and by comparin
g the Thouless-Valatin and the Inglis moments of inertia, it is pointe
d out that a fully self-consistent mean-field treatment, which properl
y takes into account the two-body residual interaction, is crucial in
explaining cases of backbending phenomena that are not associated with
a single-particle level crossing. [S0556-2813(98)00211-8].