Using a large data sample of p anti-p collisions at s**(1/2) = 1.96
TeV recorded by the CDF and D0 detectors operating at the Fermilab Tevatron,
the orbitally excited B mesons B_1 and B*_2 are observed directly as two
separate states in fully reconstructed decays to B(*) pi+.  The masses and
the mass differences between the states are presented.  In the charm system,
the orbitally excited D mesons D_1 and D_2* are observed in fully
reconstructed decays to D(*) pi+.  Measurements of the product branching
rates of semileptonic decays B --> D-bar** mu+ nu(mu) X and their ratio are
presented.  We also present the observation of the semileptonic decays
B_s --> mu nu D**_s where the excited D**_s states are reconstructed in the
mode D**_s --> D* K0(s).