A contact interaction model for the $\eta$ and ${\eta }^{\prime }$ mesons in a SDE-BSE approach to QCD: masses, decay widths and transition form factors

Abstract

We construct a contact interaction model for the $\eta$ and ${\eta }^{\prime }$ mesons in the SDE-BSE approach to QCD and compute several static properties of these mesons and their transition form factors. We find that this model gives an excellent description of the $\eta$ and ${\eta }^{\prime }$ static properties, namely their masses, decay width and decay constants. However, a contact interaction disagrees with experimental data for $Q^2$ greater than 2 GeV${}^2$, and produces transition form factors in conflict with perturbative QCD prediction. This is not surpring and the reasons for this are explained

10 pages, 4 figures, submitted to PRD

References in corpus (21)

• A refinement of the Gribov-Zwanziger approach in the Landau gauge: infrared propagators in harmony with the lattice results
• Bridging a gap between continuum-QCD and ab initio predictions of hadron observables
• Abelian anomaly and neutral pion production
• pi- and rho-mesons, and their diquark partners, from a contact interaction
• Pion form factor from a contact interaction
• Masses of ground and excited-state hadrons
• Natural constraints on the gluon-quark vertex
• Masses of Light and Heavy Mesons and Baryons: A Unified Picture
• Contact interaction analysis of pion GTMDs
• Parity partners in the baryon resonance spectrum
• Electromagnetic Form Factors and Charge Radii of Pseudoscalar and Scalar Mesons: A Comprehensive Contact Interaction Analysis
• Non-perturbative analysis of the Gribov-Zwanziger action
• Quark anomalous magnetic moment and its effects on the $\rho$ meson properties
• A symmetry preserving contact interaction treatment of the kaon
• Origin of the Proton Mass
• Contact interaction analysis of octet baryon axialvector and pseudoscalar form factors
• A glimpse into pion gravitational form factor
• Pion scalar, vector and tensor form factors from a contact interaction
• Color, Flavor, Temperature and Magnetic Field Dependence of QCD Phase Diagram: Magnetic Catalysis and its Inverse
• Symmetry-preserving contact interaction model for heavy-light mesons
• Charmed mesons at finite temperature and chemical potential