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| Format: | Preprint |
| Veröffentlicht: |
2026
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| Online-Zugang: | https://arxiv.org/abs/2603.15989 |
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| _version_ | 1866914400003162112 |
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| author | Zeng, Shuge Li, Hsiang-nan Xu, Fanrong |
| author_facet | Zeng, Shuge Li, Hsiang-nan Xu, Fanrong |
| contents | 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, solve for the involved spectral density with available operator-product-expansion (OPE) inputs directly, and extract 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_15989 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Light baryon static properties in dispersive approach Zeng, Shuge Li, Hsiang-nan Xu, Fanrong High Energy Physics - Phenomenology 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, solve for the involved spectral density with available operator-product-expansion (OPE) inputs directly, and extract 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. |
| title | Light baryon static properties in dispersive approach |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2603.15989 |