Baryon transition current structure (N(1535) negative parity F2 form factor) revisited: Insights from Patterson function analysis

The N(1535) negative‑parity Pauli‑type transition current is revisited using Patterson‑function analysis applied directly to empirical F₂ form‑factor data. This model‑independent reconstruction produces a sharply localized positive density profile, dominated by a central peak with a half‑maximum radius of 0.107 fm, underscoring the compact nature of the distribution. Comparative analysis shows that the normalized F₁ Patterson profiles of N(1535) and the N(1440) Roper excitation overlap closely, while the F₂ profiles of N(1535), N(1440), and the Δ(1232) magnetic and electric quadrupole transitions form a coherent group. These findings highlight structural correlations among baryon excitations and demonstrate the sensitivity of Patterson analysis to subtle spatial variations in hadronic transition currents.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-18
DOI
https://doi.org/10.5281/zenodo.22829295
Primary Topic
Quantum Chromodynamics and Particle Interactions
Type
preprint
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preprint

Baryon transition current structure (N(1535) negative parity F2 form factor) revisited: Insights from Patterson function analysis

Pui Sum Yuen
Zenodo (CERN European Organization for Nuclear Research)
Quantum Chromodynamics and Particle Interactions
preprint

Baryon transition current structure (N(1535) negative parity F2 form factor) revisited: Insights from Patterson function analysis

Pui Sum Yuen
preprint en

Abstract

The N(1535) negative‑parity Pauli‑type transition current is revisited using Patterson‑function analysis applied directly to empirical F₂ form‑factor data. This model‑independent reconstruction produces a sharply localized positive density profile, dominated by a central peak with a half‑maximum radius of 0.107 fm, underscoring the compact nature of the distribution. Comparative analysis shows that the normalized F₁ Patterson profiles of N(1535) and the N(1440) Roper excitation overlap closely, while the F₂ profiles of N(1535), N(1440), and the Δ(1232) magnetic and electric quadrupole transitions form a coherent group. These findings highlight structural correlations among baryon excitations and demonstrate the sensitivity of Patterson analysis to subtle spatial variations in hadronic transition currents.

Zenodo (CERN European Organization for Nuclear Research)
Quantum Chromodynamics and Particle Interactions
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