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.

13 pages, 13 figures

References in corpus (14)

• Determination of the Charged Pion Form Factor at Q2=1.60 and 2.45 (GeV/c)2
• Nature of the f_0(600) from its N_c dependence at two loops in unitarized Chiral Perturbation Theory
• Abelian anomaly and neutral pion production
• 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
• Nucleon electromagnetic form factors from the covariant Faddeev equation
• Pion form factor from a contact interaction
• Masses of Light and Heavy Mesons and Baryons: A Unified Picture
• Masses of positive- and negative-parity hadron ground-states, including those with heavy quarks
• 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

Cited by in corpus (3)

• 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