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  • Open Access

Magnetic polarizability of octet baryons near the physical quark-mass point

Thomas Kabelitz, Waseem Kamleh, and Derek Leinweber

  • Special Research Centre for the Subatomic Structure of Matter (CSSM), Department of Physics, University of Adelaide, Adelaide, South Australia 5005, Australia

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Phys. Rev. D 112, 014516 – Published 31 July, 2025

DOI: https://doi.org/10.1103/38db-ml51

Abstract

The magnetic polarizabilities of octet baryons are examined close to the physical quark-mass point using the background-field method in lattice QCD. For the first time, quantitative evidence of a light-quark exceptional configuration problem is presented. This exploratory calculation shows how these exceptional configurations have hindered previous attempts to determine magnetic polarizabilities near the physical mass point. The origin of the exceptional configuration problem lies in the use of a Wilson-type fermion action on electroquenched gauge-field configurations, where the dynamical-fermion gauge-field generation algorithm ignores the electric charges of the quarks. Changes in the fermion determinant that would suppress some gauge fields in the background magnetic field are neglected, leaving improbable gauge fields that generate large additive mass renormalizations which manifest as significant outliers in correlation-function distributions. The nature and extent of the exceptional configuration problem is illustrated through the development of an algorithm for the systematic identification and removal of the exceptional configurations. We find the light up and down quarks to be problematic, especially the up quark with its larger electric charge. The heavier mass of the strange quark protects the hyperon correlation functions to some extent. However, these also show some change upon the removal of exceptional configurations. Upon removing exceptional configurations, we find our results to be in accord with the behavior anticipated by chiral perturbation theory. However, we emphasize that there is no first-principles justification for the removal of exceptional configurations and, in light of the severity of the problem, we recommend the alternative formalism offered through the consideration of four-point function methods.

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Phys. Rev. D 112, 014516– Published 31 July, 2025
  • Received 28 December 2024
  • Revised 15 June 2025
  • Accepted 25 June 2025
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