π and ρ mesons, and their diquark partners, from a contact interaction

H. L. L. Roberts, A. Bashir, L. X. Gutiérrez-Guerrero, C. D. Roberts, and D. J. Wilson
Phys. Rev. C 83, 065206 – Published 22 June 2011

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 ρ-meson electric form factor at zQρ6mρ. Notably, rρzQρrDzQD, where rρ and rD are, respectively, the electric radii of the ρ-meson and deuteron.

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  • Received 21 February 2011

DOI:https://doi.org/10.1103/PhysRevC.83.065206

©2011 American Physical Society

Authors & Affiliations

H. L. L. Roberts1,2,3, A. Bashir4,5, L. X. Gutiérrez-Guerrero4, C. D. Roberts1,2,5,6, and D. J. Wilson1

  • 1Physics Division, Argonne National Laboratory, Argonne, Illinois 60439, USA
  • 2Institut für Kernphysik, Forschungszentrum Jülich, D-52425 Jülich, Germany
  • 3Physics Department, University of California, Berkeley, California 94720, USA
  • 4Instituto de Física y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Morelia, Michoacán 58040, Mexico
  • 5Kavli Institute for Theoretical Physics China, CAS, Beijing 100190, China
  • 6Department of Physics, Center for High Energy Physics and the State Key Laboratory of Nuclear Physics and Technology, Peking University, Beijing 100871, China

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Issue

Vol. 83, Iss. 6 — June 2011

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