Electromagnetic Form Factors and Charge Radii of Pseudoscalar and Scalar Mesons: A Comprehensive Contact Interaction Analysis

Abstract

We carry out a comprehensive survey of electromagnetic form factors of all light, heavy and heavy-light ground-state pseudoscalar and scalar mesons. Our analysis is based upon a Schwinger-Dyson equations treatment of a vector $\times$ vector contact interaction. It incorporates confinement and ensures axial vector and vector Ward-Takahashi identities are satisfied along with the corresponding corollaries such as the Goldberger-Treiman relations. The algebraic simplicity of the model allows us to compute the form factors at arbitrarily large virtualities of the probing photon momentum squared with relative ease. Wherever possible and insightful, we compare our results for the electromagnetic form factors and the charge radii with those obtained earlier through Schwinger-Dyson equations, lattice and with experimental observations available. We also comment on the scope and shortcomings of the model.

arXiv comment13 pages, 13 figures

References in corpus (50)

• The anomalous magnetic moment of the muon in the Standard Model
• Collective perspective on advances in Dyson-Schwinger Equation QCD
• Measurement of the Charged Pion Electromagnetic Form Factor
• Determination of the Charged Pion Form Factor at Q2=1.60 and 2.45 (GeV/c)2
• The QCD Running Coupling
• Studies of Nucleon Resonance Structure in Exclusive Meson Electroproduction
• The $\pi$, $K^{+}$, and $K^0$ electromagnetic form factors
• Nature of the f_0(600) from its N_c dependence at two loops in unitarized Chiral Perturbation Theory
• Pion electromagnetic form factor at spacelike momenta
• Radiative Transitions in Charmonium from Lattice QCD
• Extended NJL Model for light and heavy mesons without q-qbar thresholds
• The Infrared Behaviour of the Pure Yang-Mills Green Functions
• Quark flavour effects on gluon and ghost propagators
• Abelian anomaly and neutral pion production
• Process-independent strong running coupling
• Unquenched Gluon Propagator in Landau Gauge
• pi- and rho-mesons, and their diquark partners, from a contact interaction
• Diquark Correlations in Hadron Physics: Origin, Impact and Evidence
• Vector meson form factors and their quark-mass dependence
• Survey of nucleon electromagnetic form factors
• Kaon-box contribution to the anomalous magnetic moment of the muon
• Nucleon electromagnetic form factors from the covariant Faddeev equation
• Pion form factor from a contact interaction
• Nucleon and $\Delta$ elastic and transition form factors
• Nucleon and Roper electromagnetic elastic and transition form factors
• Completing the picture of the Roper resonance
• Locating the Gribov horizon
• Masses of ground-state mesons and baryons, including those with heavy quarks
• Flavour dependence of the pion and kaon form factors and parton distribution functions
• Masses of Light and Heavy Mesons and Baryons: A Unified Picture
• ${\gamma }^{\ast }\gamma \to \eta ,{\eta }^{\prime }$ transition form factors
• Charge radii of light and heavy mesons
• Hadronic light-by-light scattering in the muon g-2: a Dyson-Schwinger equation approach
• Elastic and transition form factors of the Δ(1232)
• Single pseudoscalar meson pole and pion box contributions to the anomalous magnetic moment of the muon
• Masses of positive- and negative-parity hadron ground-states, including those with heavy quarks
• Process-independent effective coupling. From QCD Green's functions to phenomenology
• Charmonia in a Contact Interaction
• Contribution of neutral pseudoscalar mesons to $a_{\mu }^{HLbL}$ within a Schwinger-Dyson equations approach to QCD
• Features and flaws of a contact interaction treatment of the kaon
• ${\eta }_c$ Elastic and Transition Form Factors: Contact Interaction and Algebraic Model
• Evidence of ghost suppression in gluon mass dynamics
• Heavy quarkonia in a contact interaction and an algebraic model: mass spectrum, decay constants, charge radii and elastic and transition form factors
• Coupled dynamics in gluon mass generation and the impact of the three-gluon vertex
• QCD: Restoration of Chiral Symmetry and Deconfinement for Large N_f
• Pion and Kaon box contribution to $a_{\mu }^{\text{HLbL}}$
• Dynamical diquarks in the ${\mathbf{\gamma }}^{(\ast )}\mathbf{p}\to \mathbf{N}(1535){\frac{1}{2}}^{-}$ transition
• A symmetry preserving contact interaction treatment of the kaon
• Pion scalar, vector and tensor form factors from a contact interaction
• Structure of the orbital excited $N^{\ast }$ from the Schwinger-Dyson equations

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• The electromagnetic form factors of heavy-light pseudo-scalar and vector mesons
• 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
• A comprehensive approach to the physics of mesons