  We review the experimental and theoretical status of baryons containing one
heavy quark. The charm and bottom baryon states are classified and their mass
spectra are listed. The appropriate theoretical framework for the description
of heavy baryons is the Heavy Quark Effective Theory, whose general ideas and
methods are introduced and illustrated in specific examples. We present simple
covariant expressions for the spin wave functions of heavy baryons including
p--wave baryons. The covariant spin wave functions are used to determine the
Heavy Quark Symmetry structure of flavour--changing current--induced
transitions between heavy baryons as well as one--pion and one--photon
transitions between heavy baryons of the same flavour. We discuss $1/m_Q$
corrections to the current--induced transitions as well as the structure of
heavy to light baryon transitions. Whenever possible we attempt to present
numbers to compare with experiment by making use of further model--dependent
assumptions as e.g. the constituent picture for light quarks. We highlight
recent advances in the theoretical understanding of the inclusive decays of
hadrons containing one heavy quark including polarization. For exclusive
semileptonic decays we discuss rates, angular decay distributions and
polarization effects. We provide an update of the experimental and theoretical
status of lifetimes of heavy baryons and of exclusive nonleptonic two body
decays of charm baryons.
