1997/06/19 by Andrey Grozin, A. G. Grozin, O. I. Yakovlev · 1 citation
Physics and Astronomy · #Baryon #Diagonal #Field theory (psychology) #Hadron #High-Energy Particle Collisions Research #Lambda #Limit (mathematics) #Mathematical physics #Meson #Particle physics #Particle physics theoretical and experimental studies #Perturbative QCD #Physics #Pion #QCD sum rules #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Sigma #Sum rule in quantum mechanics #hep-ph
paper · pdf · doi:10.1007/s100520050175
published as Eur.Phys.J.C2:721-727,1998 · 15 pages, LaTeX2e, 6 ps figures included
arxiv created 1997/06/19 · openalex publication_date 1998/01/01 · arxiv updated 2011/09/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We estimate the couplings in the Heavy Hadron Chiral Theory (HHCT) lagrangian from the QCD sum rules in an external axial field. We take into account the perturbative correction to the meson correlator in the infinite mass limit. With the perturbative correction and three successive power corrections, the meson correlator in an axial field becomes one of the best known correlators. In spite of this, the corresponding sum rule is not very stable. It yields the result g1 F2/(380MeV)3 = 0.1 - 0.2, where F2 = fM2 m/4 = (380MeV)3 is the central value of the heavy meson decay constant with the perturbative correction. This result is surprisingly low as compared with the constituent quark model estimate g1 = 0.75. The sum rules for g2,3 following from nondiagonal Sigma-Sigma and diagonal Lambda-Sigma baryon correlators in an external axial field suggest g2,3 = 0.4 - 0.7, while diagonal Sigma-Sigma and nondiagonal Lambda-Sigma baryon sum rules have too large uncertainties.