Open Charm and Beauty Chiral Multiplets in QCD

Abstract

We study the dynamics of the the spin zero open charm and beauty mesons using QCD spectral sum rules (QSSR), where we observe the important r\^ole of the chiral condensate <\bar \psi\psi> in the mass-splittings between the scalar-pseudoscalar mesons. Fixing the sum rule parameters for reproducing the well-known D(0-) and Ds(0-) masses, we re-obtain the running charm quark mass: mc(mc)=1.13^{+0.08}_{-0.04} GeV, which confirms our recent estimate from this channel [1]. Therefore, using sum rules, with no-free parameters, we deduce M_{Ds(0+)}= (2297+- 113) MeV, which is consistent with the observed Ds(2317) meson, while a small SU(3) breaking of about 25 MeV for the Ds(0+)-D(0+) mass-difference has been obtained. We extend our analysis to the B-system and find M{B(0+)}- M{B(0-)}= (422+- 196) MeV confirming our old result from moment sum rules [2]. Assuming an approximate (heavy and light) flavour and spin symmetries of the mass-splittings as indicated by our results, we also deduce M_{D*s(1+)}= (2440+-113) MeV in agreement with the observed D{sJ}(2457). We also get: f{D(0+)}= (217+- 25) MeV much bigger than fpi=130.6 MeV, while the size of the SU(3) breaking ratio f{Ds(0+)}/f{D(0+)}= 0.93+- 0.02 is opposite to the one of the 0- channel of about 1.14.