1996/09/25 by S. Groote, J. G. Körner, O. I. Yakovlev · 6 citations
Physics and Astronomy · #Baryon #High-Energy Particle Collisions Research #Lambda #Operator product expansion #Order (exchange) #Particle physics #Particle physics theoretical and experimental studies #Physics #QCD sum rules #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Sigma #Sum rule in quantum mechanics #hep-ph
paper · pdf · doi:10.1103/physrevd.55.3016
published as Phys. Rev. D 55, 3016 (1997) · 18 pages, LaTeX, 3 figures are included in PostScript format
arxiv created 1996/09/25 · openalex publication_date 1997/03/01 · openalex created_date 2016/06/24 · arxiv updated 2016/08/24 · openalex updated_date 2026/08/05
We derive QCD sum rules for heavy baryons at leading order in 1/mQ and at next-to-leading order in \ensuremathαS. The calculation involves the evaluation of four different perturbative three-loop diagrams which determine the \ensuremathαS corrections to the Wilson coefficients of the leading term in the operator product expansion. From the sum rules we obtain estimates for the masses and the residues of the heavy baryons \ensuremathΛQ and \ensuremathΣQ. The perturbative O(\ensuremathαS) corrections to the leading order spectral function amount to about 100%, and they shift the calculated values for the baryon masses slightly upward. The residues are shifted upward by about 20--50%. For the bound state energy \ensuremathΛ given by the difference of the heavy baryon mass and the pole mass of the heavy quark mQ we obtain m_\ensuremathΛQ\ensuremath-mQ\ensuremath≅780 MeV and m_\ensuremathΣQ\ensuremath-mQ\ensuremath≅950 MeV. For the residues we find |F_\mathrm\ensuremathΛ|\ensuremath≅0.028 GeV3 and |F_\mathrm\ensuremathΣ|\ensuremath≅0.039 GeV3.