  The mass spectra of the L=1 orbitally excited heavy baryons with light quarks
in both the spin-flavor symmetric and the mixed representations are studied by
the $1/N_c$ expansion method in the framework of the heavy quark effective
theory. The mixing effect between the baryons in the two representations is
also considered. The general pattern of the spectrum is predicted which will be
verified by the experiments in the near future.
