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  • Open Access

Nucleon axial form factors in generalized nonlocal chiral effective theory

Y. Salamu and Haximjan Abdusattar

  • School of Physics and Electrical Engineering, Kashi University, Kashgar, 844000, Xinjiang, China

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Phys. Rev. D 113, 116011 – Published 8 June, 2026

DOI: https://doi.org/10.1103/3dh9-1nqf

Abstract

In this work, we first investigate the chiral transformation properties of the nonlocal pion field operator and construct a generalized nonlocal chiral Lagrangian that is invariant under SU(2) chiral symmetry transformations. As a simple application, we then calculate the leading order and next-to-leading order pion one loop corrections to the nucleon axial form factors within nonlocal chiral perturbation theory. Then, we fit the next-to-leading order and next-to-next-to-leading order low energy coupling constants (LECs) to lattice QCD data. The fitted results show that the nonlocal LECs are comparatively smaller than their local counterparts. Finally, using these LECs, we compute the Q2 dependence of the nucleon axial form factors. The numerical results indicate that the nonlocal nucleon axial form factors are consistent with lattice QCD data in a wide Q2 range, up to Q2=1  GeV2.

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Phys. Rev. D 113, 116011– Published 8 June, 2026
  • Received 21 October 2025
  • Accepted 18 February 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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