HADRONS WITH CHARM AND BEAUTY

By combining potential models and QCD spectral sum rules (QSSR), we di scuss the spectroscopy of the (bcBAR) mesons and of the (bcq), (ccq) a nd (bbq) baryons (q = d or s), the decay constant and the (semi)lepton ic decay modes of the B(c) meson. For the masses, the best predictions come from potential models and read: M(Bc) = (6255 +/- 20) MeV, M(Bc) = (6330 +/- 20) MeV, M(LAMBDA)(bcu) = (6.93 +/- 0.05) GeV, M(OMEGA)( bcs) = (7.00 +/- 0.05) GeV, M(XI)(ccu) = (3.63 +/- 0.05) GeV and M(XI )(bbu) = (10.21 +/- 0.05) GeV. The decay constant f(Bc) = (2.94 +/- 0 .21) f(pi) is well determined from QSSR and leads to: GAMMA(B(c) --> n u(tau)tau) = (3.0 +/- 0.4) (V(cb)/0.037)2 x 10(10) s-1. The uses of th e vertex sum rules for the semileptonic decays of the B(c) show that t he t-dependence of the form factors is much stronger than predicted by vector meson dominance. It also predicts the almost equal strength of about 0.30 x 10(10) s-1 for the semileptonic rates B(c) into B(s), B( s), eta(c) and J/psi. Besides these phenomenological results, we also show explicitly how the Wilson coefficients of the [alpha(s)G2] and [ G3] gluon condensates already contain the full heavy quark ([QBARQ]) a nd mixed-([QBARGQ]) condensate contributions in the OPE.