  Using the quark-diquark approximation in the framework of Buchm\" uller-Tye
potential model, we investigate the spectroscopy of doubly charmed baryons:
$\Xi_{cc}^{++}$ and $\Xi_{cc}^{+}$. Our results include the masses, parameters
of radial wave functions of states with the different excitations of both
diquark and light quark-diquark system. We calculate the values of fine and
hyperfine splittings of these levels and discuss some new features, connected
to the identity of heavy quarks, in the dynamics of hadronic and radiative
transitions between the states of these baryons.
