pi- and rho-mesons, and their diquark partners, from a contact interaction

Abstract

We present a unified Dyson-Schwinger equation treatment of static and electromagnetic properties of pseudoscalar and vector mesons, and scalar and axial-vector diquark correlations, based upon a vector-vector contact-interaction. A basic motivation for this study is the need to document a comparison between the electromagnetic form factors of mesons and those diquarks which play a material role in nucleon structure. This is an important step toward a unified description of meson and baryon form factors based on a single interaction. A notable result, therefore, is the large degree of similarity between related meson and diquark form factors. The simplicity of the interaction enables computation of the form factors at arbitrarily-large spacelike-Q^2, which enables us to expose a zero in the rho-meson electric form factor at z_Q^ρ~ Sqrt[6] m_ρ. Notably, r_ρ*z_Q^ρ~ r_D*z_Q^D, where r_ρ, r_D are, respectively, the electric radii of the rho-meson and deuteron.

12 pages, 7 figures, 2 tables

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• Vector-meson production and vector meson dominance
• Masses of positive- and negative-parity hadron ground-states, including those with heavy quarks
• Light Meson Form Factors at near Physical Masses
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• 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
• Constituent quark axial current couplings to light vector mesons in the vacuum and with a weak magnetic field
• Pseudoscalar current and covariance with the light-front approach
• Physical Implications of the Extrapolation and Statistical Bootstrap of the Nucleon Structure Function Ratio $\frac{F_2^n}{F_2^p}$ for Mirror Nuclei ${}^3$He and ${}^3$H
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