Heavy-light Qq mesons in QCD

This talk summarizes the study of the dynamics of the heavy-light (Q) over barq open charm and beauty mesons obtained in [1] using QCD spectral sum rules (QSSR) and motivated by the recent experimental discovery, of the D-sJ(2317) and D-sJ(2457) mesons. The important role of the chiral condensate (psi psi) in the mass-splittings between the scalar-pseudoscalar mesons is emphasized. The emerging value of the running charm quark mass for reproducing the well-known D(0(-)) and D-s(0(-)) masses is: m(c)(m(c)) = 1.13(-0.04)(+0.08) GeV, which confirms previous estimates from this channel [2]. Using this value, the 0,04 sum rules give: M-Ds (+)((0)()) similar or equal to (2297 +/- 113) MeV, and a small SU(3) breaking: M-Ds(0())+ - M-D(0())+ approximate to 25 MeV. Extending the analysis to the B-system, one finds: M-B(0())+ - M-B(0())- similar or equal to (422 +/- 196) MeV similar or equal to MDs(0)+ - M-Ds(0())-. Assuming an approximate (heavy and light) flavour and spin symmetries of the mass-splittings as indicated by the previous results, one also deduces: M-Ds((1))(*)+ similar or equal to (2440 +/- 113) MeV. Finally, one also gets: f(D(0)())(+) similar or equal to (217 +/- 25) MeV much bigger than f(pi) = 130.6 MeV, suggesting a large violation of the 1/root M-D scaling while the size of the SU(3) breaking ratio f(Ds(0)())(+)/f(D(0)())(+) similar or equal to 0.93 +/- 0.02 is opposite to the one of the 0(-) channel of about 1.14.