  A countable set of superintegrable quantum mechanical systems is presented
which admit the dynamical symmetry with respect to algebra so(4). This algebra
is generated by the Laplace-Runge-Lenz vector generalized to the case of
arbitrary spin. The presented systems describe neutral particles with
non-trivial multipole momenta. Their spectra can be found algebraically like in
the case of Hydrogen atom. Solutions for the systems with spins 1/2 and 1 are
presented explicitly, solutions for spin 3/2 are expressed via solutions of an
ordinary differential equation of first order..
