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Elastic form factors of axial-vector mesons: A contact interaction exploration

R. J. Hernández-Pinto1,*, L. X. Gutiérrez-Guerrero2,†, M. A. Bedolla3,‡, J. P. Uribe-Ramírez1,§, and A. Bashir4,5,∥

  • 1Facultad de Ciencias Físico-Matemáticas, Universidad Autónoma de Sinaloa, Ciudad Universitaria, Culiacán, Sinaloa 80000, México
  • 2SECIHTI-Mesoamerican Centre for Theoretical Physics, Universidad Autónoma de Chiapas, Carretera Zapata Kilómetro 4, Real del Bosque (Terán), Tuxtla Gutiérrez, Chiapas 29040, México
  • 3Facultad de Ciencias en Física y Matemáticas, Universidad Autónoma de Chiapas, Carretera Emiliano Zapata Kilómetro 8, Rancho San Francisco, Ciudad Universitaria Terán, Tuxtla Gutiérrez, Chiapas 29040, México
  • 4Department of Integrated Sciences and Center for Advanced Studies in Physics, Mathematics and Computation, University of Huelva, E-21071 Huelva, Spain
  • 5Facultad de Ingeniería, Universidad Autónoma de Querétaro, Querétaro, Querétaro 76010, México

  • *Contact author: roger@uas.edu.mx
  • †Contact author: lxgutierrez@secihti.mx
  • ‡Contact author: marco.bedolla@unach.mx
  • §Contact author: juanuribe.fcfm@uas.edu.mx
  • ∥Contact author: adnan.bashir@dci.uhu.es
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Phys. Rev. D 114, 034023 – Published 11 August, 2026

DOI: https://doi.org/10.1103/c44w-lfpm

Abstract

We employ a symmetry-preserving treatment of the contact interaction within the coupled formalism of Schwinger-Dyson and Bethe-Salpeter equations to calculate the elastic form factors of axial-vector mesons. In this study, we present the computation of the charge radii, magnetic moments, and quadrupole moments of axial-vector mesons, including those composed of light quarks, heavy quarks, or a light and a heavy quark. Our findings indicate that the electric form factor for axial-vector mesons, like that of vector mesons, crosses zero. Furthermore, this crossing occurs at a lower value for axial-vector mesons than for vector mesons. The results for vector-axial mesons follow a similar hierarchy in charge radii as observed for scalar, pseudoscalar, and vector mesons, with radii decreasing as the mass of the dressed quarks increases. We also include a term associated with the anomalous magnetic moment in the quark-photon vertex. This term has a noticeable impact on both the axial-vector magnetic moment and quadrupole moment, leading to significant percentage changes in their values. We compare our results with those obtained from other models whenever available.

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Phys. Rev. D 114, 034023– Published 11 August, 2026
  • Received 13 February 2025
  • Accepted 16 July 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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