Eta-nucleon coupling constant in QCD with SU(3) symmetry breaking

Abstract

We study the $\eta$NN coupling constant using the method of QCD sum rules starting from the vacuum-to-eta correlation function of the interpolating fields of two nucleons. The matrix element of this correlation has been taken with respect to nucleon spinors to avoid unwanted pole contribution. The SU(3)-flavor symmetry breaking effects have been accounted for via the $\eta$-mass, s-quark mass and eta decay constant to leading order. Out of the four sum rules obtained by taking the ratios of the two sum rules in conjunction with the two sum rules in nucleon mass, three are found to give mutually consistent results. We find the SU(3) breaking effects significant, as large as 50% of the SU(3) symmetric part.

13 pages, 12 figures

References in corpus (23)

• The high-precision, charge-dependent Bonn nucleon-nucleon potential (CD-Bonn)
• $D^{\ast }D\pi$ and $B^{\ast }B\pi$ couplings in QCD
• Soft-core baryon-baryon potentials for the complete baryon octet
• Quark structure of pseudoscalar mesons
• QCD Sum Rules for Skeptics
• Effective Lagrangian Approach to the Theory of Eta Photoproduction in the $N^{\ast }(1535)$ Region
• Extended-soft-core Baryon-Baryon Model I. Nucleon-Nucleon Scattering (ESC04) Extended-soft-core Baryon-Baryon Model I. Nucleon-Nucleon Scattering (ESC04)
• Determination of the pion-nucleon coupling constant from QCD sum rules
• Meson-octet-baryon couplings using light cone QCD sum rules
• Two-point correlation function with pion in QCD sum rules
• Pseudoscalar Meson Decay Constants and Couplings, the Witten-Veneziano Formula beyond large N_c, and the Topological Susceptibility
• Meson-Baryon Couplings from QCD Sum Rules
• The $F/D$ ratio and meson-baryon couplings from QCD sum rules-II
• Eta meson production in nucleon-nucleon collisions within an effective Lagrangian model
• Strangeness and Hadron Structure
• Model-Independent Results for SU(3) Violation in Twist-3 Light-Cone Distribution Functions
• Pertinent Dirac structure for QCD sum rules of meson-baryon coupling constants
• Axial and pseudoscalar current correlators and their couplings to eta and etaprime mesons
• A projected correlation function approach to the pi NN coupling constant in QCD sum rules
• Veneziano Ghost Versus Isospin Breaking
• Couplings of the eta and eta' Mesons to the Nucleon
• Model-independent study of the QCD sum rule for the pi NN coupling constant
• Leading SU(3) breaking in lightcone distribution amplitudes

Cited by in corpus (3)

• Eta-nucleon and eta-prime-nucleon coupling constants in QCD and the role of gluons
• Antiproton--proton annihilation into light neutral meson pairs within an effective meson theory
• Quark distributions and gluon contents of eta and etaprime