Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1997-05-28
Phys.Rev. D56 (1997) 3943-3954
Physics
High Energy Physics
High Energy Physics - Phenomenology
17 pages, LaTeX, 8 figures are included in PostScript format
Scientific paper
10.1103/PhysRevD.56.3943
We consider diagonal and non-diagonal QCD sum rules for the ground state heavy baryons to leading order in $1/m_Q$ and at next-to-leading order in $\alpha_S$. In the non-diagonal case we evaluate the eight different two-loop diagrams which determine the perturbative $\alpha_S$-corrections to the Wilson coefficient of the quark condensate in the Operator Product Expansion. The QCD corrections to the non-diagonal sum rules are moderate compared to the QCD corrections in the diagonal case. We also consider constituent type sum rules using constituent type interpolating currents. The obtained results are in reasonable agreement with the corresponding results obtained in the diagonal case. As central values for the bound state energies we find $m(\Lambda_Q)-m_Q = 760 MeV$ and $m(\Sigma_Q)-m_Q = 940 MeV$. The central values for the residues are given by $F(\Lambda_Q) = 0.030 GeV^3$ and $F(\Sigma_Q) = 0.038 GeV^3$.
Groote Stefan
Körner Juergen G.
Yakovlev O. I.
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