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PreprintCC BY 4.0arXiv

Generalized parton distributions of the nucleon in the chiral quark soliton model II: Chiral anomaly mediation in the polarized GPDs

  • Josuke Minamiguchi
  • Tomoya Uji
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Abstract

We calculate the polarized flavor-singlet generalized parton distributions (GPDs) H̃u+d and Ẽu+d in the chiral quark soliton model at nonzero skewness and momentum transfer. Results are obtained with and without a singlet pseudoscalar meson η0, whose mass is generated by the chiral anomaly. Relative to the pion-only model, the singlet field introduces a sizable contribution to Ẽu+d in the ERBL region but only a minor correction to H̃u+d. An explicit meson-exchange term qualitatively accounts for this contrast and displays the anticipated singlet pole. When the anomaly-induced mass is set to zero, the pole becomes massless, and the exchange term dominates Ẽu+d at small momentum transfer. These findings demonstrate how anomalous singlet-meson dynamics leaves distinct signatures in the polarized GPDs of the nucleon.

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Cite

BibTeXRIS
BibTeX
@misc{minamiguchi2026generalized,
  title = {{Generalized parton distributions of the nucleon in the chiral quark soliton model II: Chiral anomaly mediation in the polarized GPDs}},
  author = {Josuke Minamiguchi and Tomoya Uji},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.07869},
  eprint = {2611.07869},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.07869},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Generalized parton distributions of the nucleon in the chiral quark soliton model II: Chiral anomaly mediation in the polarized GPDs
AU  - Josuke Minamiguchi
AU  - Tomoya Uji
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.07869
UR  - https://arxiv.org/abs/2611.07869
AB  - We calculate the polarized flavor-singlet generalized parton distributions (GPDs) H̃^u+d and Ẽ^u+d in the chiral quark soliton model at nonzero skewness and momentum transfer. Results are obtained with and without a singlet pseudoscalar meson η_0, whose mass is generated by the chiral anomaly. Relative to the pion-only model, the singlet field introduces a sizable contribution to Ẽ^u+d in the ERBL region but only a minor correction to H̃^u+d. An explicit meson-exchange term qualitatively accounts for this contrast and displays the anticipated singlet pole. When the anomaly-induced mass is set to zero, the pole becomes massless, and the exchange term dominates Ẽ^u+d at small momentum transfer. These findings demonstrate how anomalous singlet-meson dynamics leaves distinct signatures in the polarized GPDs of the nucleon.
ER  -