πandρmesons, and their diquark partners, from a contact interaction

2011/02/22 by H. L. L. Roberts, Adnan Bashir, A. Bashir +6
Chemistry · Physics and Astronomy · #Advanced NMR Techniques and Applications #Mathematical physics #Meson #Particle physics #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph #nucl-ex #nucl-th

paper · pdf · doi:10.1103/physrevc.83.065206

published as Phys.Rev.C83:065206,2011 · 12 pages, 7 figures, 2 tables

arxiv created 2011/02/22 · openalex publication_date 2011/06/22 · arxiv updated 2011/07/08 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

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 paper is the need to document a comparison between the electromagnetic form factors of mesons and those diquarks that play a material role in nucleon structure. 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 Q², which enables us to expose a zero in the \ensuremathρ-meson electric form factor at z_Q^\ensuremathρ\ensuremath≈\ensuremath\surd6m_\ensuremathρ. Notably, r_\ensuremathρz_Q^\ensuremathρ\ensuremath≈r_Dz_Q^D, where r_\ensuremathρ and r_D are, respectively, the electric radii of the \ensuremathρ-meson and deuteron.

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