  The self-consistent tilted axis cranking relativistic mean-field theory based
on a point-coupling interaction has been established and applied to investigate
systematically the newly observed shears bands in 60Ni. The tilted angles,
deformation parameters, energy spectra, and reduced M1 and $E2$ transition
probabilities have been studied in a fully microscopic and self-consistent way
for various configurations and rotational frequencies. It is found the
competition between the configurations and the transitions from the magnetic to
the electric rotations have to be considered in order to reproduce the energy
spectra as well as the band crossing phenomena. The tendency of the
experimental electromagnetic transition ratios B(M1)/B(E2) is in a good
agreement with the data, in particular, the B(M1) values decrease with
increasing spin as expected for the shears mechanism, whose characteristics are
discussed in detail by investigating the various contributions to the total
angular momentum as well.
