Pertinent Dirac structure for QCD sum rules of meson-baryon coupling constants

2000/04/30 by Takumi Doi, Hungchong Kim, Makoto Oka · 2 citations
Physics and Astronomy · #Baryon #Coupling (piping) #Dirac (video compression format) #High-Energy Particle Collisions Research #Meson #Neutrino #Particle physics #Particle physics theoretical and experimental studies #Physics #QCD sum rules #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Sum rule in quantum mechanics #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevc.62.055202

published as Phys.Rev. C62 (2000) 055202 · To be published in Phys.Rev.C ; 21 pages,8 figures, revtex ; references are added

arxiv created 2000/09/28 · openalex publication_date 2000/10/13 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Using general baryon interpolating fields J_B for B=N,\ensuremathΞ,\ensuremathΣ, without derivative, we study QCD sum rules for meson-baryon couplings and their dependence on Dirac structures for the two-point correlation function with a meson i\ensuremath∫d⁴xe^iqx〈0|T[J_B(x)J_B(0)]|M(p)〉. Three distinct Dirac structures are compared: i\ensuremathγ₅, i\ensuremathγ₅p/, and \ensuremathγ₅\ensuremathσ_\ensuremathμ\ensuremathνq^\ensuremathμp^\ensuremathν structures. From the dependence of the OPE on general baryon interpolating fields, we propose criteria for choosing an appropriate Dirac structure for the coupling sum rules. The \ensuremathγ₅\ensuremathσ_\ensuremathμ\ensuremathνq^\ensuremathμp^\ensuremathν sum rules satisfy the criteria while the i\ensuremathγ₅ sum rules beyond the chiral limit do not. For the i\ensuremathγ₅p/ sum rules, the large continuum contributions prohibit reliable prediction for the couplings. Thus, the \ensuremathγ₅\ensuremathσ_\ensuremathμ\ensuremathνq^\ensuremathμp^\ensuremathν structure seems pertinent for realistic predictions. In the SU(3) limit, we identify the OPE terms responsible for the F/D ratio. We then study the dependence of the ratio on the baryon interpolating fields. We decide on the ratio F/D\ensuremath∼0.6--0.8 for appropriate choice of the interpolating fields.

Citations

• Soft-core hyperon-nucleon potentials
• The Octet Model and its Clebsch-Gordan Coefficients
• Determination of pion-baryon coupling constants from QCD sum rules
• Determination of the pion-nucleon coupling constant from QCD sum rules
• QCD sum rule calculation of the πNN coupling-revisited
• The F/D ratio and meson–baryon couplings from QCD sum rules II

Cited by

• Meson-octet-baryon couplings using light cone QCD sum rules
• Relativistic chiral SU(3) symmetry, large-Nc sum rules and meson–baryon scattering