  The Andreev bound states and charge transport in a Josephson junction between
two superconductors with intrinsic exchange fields are studied. We find that
for a parallel configuration of the exchange fields in the superconductors the
discrete spectrum consists of two pairs of spin-split states. The Josephson
current in this case is mainly carried by bound states. In contrast, for the
antiparallel configuration we find that there is no spin-splitting of the bound
states and that for phase differences smaller than certain critical value there
are no bound states at all. Hence the supercurrent is only carried by states in
the continuous part of the spectrum. Our predictions can be tested by
performing a tunneling spectroscopy of a weak link between two spin-split
superconductors.
