Rapidity-Dependent Spin Decomposition of the Nucleon
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| Format: | Preprint |
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2025
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| _version_ | 1866917289785294848 |
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| author | Hechenberger, Florian Mamo, Kiminad A. Zahed, Ismail |
| author_facet | Hechenberger, Florian Mamo, Kiminad A. Zahed, Ismail |
| contents | We show that the two-dimensional Fourier transform of the generalized parton distributions (GPDs) has two distinct interpretations: at zero skewness ($η=0$) it yields the familiar impact-parameter density, while at finite skewness ($η\neq 0$) it encodes a genuine parton-nucleon correlation whose norm decreases predictably with the rapidity gap $Δy = 2\mathrm{artanh} η$. This rapidity dependence produces universal rapidity-modified Ji identities linking helicity, orbital, and total angular momenta analytically. Using linear open- and closed string Regge trajectories constrained by empirical PDFs, spectroscopy and form factor data, we obtain the leading twist GPDs $H,E,\widetilde{H}$ across the full $(x,η,t)$ range. Numerical Mellin Barnes inversion agrees with existing lattice data and yields rapidity resolved predictions for Jefferson Lab 12 GeV, the Electron Ion Collider, and forthcoming lattice studies. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_18615 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Rapidity-Dependent Spin Decomposition of the Nucleon Hechenberger, Florian Mamo, Kiminad A. Zahed, Ismail High Energy Physics - Phenomenology Nuclear Theory We show that the two-dimensional Fourier transform of the generalized parton distributions (GPDs) has two distinct interpretations: at zero skewness ($η=0$) it yields the familiar impact-parameter density, while at finite skewness ($η\neq 0$) it encodes a genuine parton-nucleon correlation whose norm decreases predictably with the rapidity gap $Δy = 2\mathrm{artanh} η$. This rapidity dependence produces universal rapidity-modified Ji identities linking helicity, orbital, and total angular momenta analytically. Using linear open- and closed string Regge trajectories constrained by empirical PDFs, spectroscopy and form factor data, we obtain the leading twist GPDs $H,E,\widetilde{H}$ across the full $(x,η,t)$ range. Numerical Mellin Barnes inversion agrees with existing lattice data and yields rapidity resolved predictions for Jefferson Lab 12 GeV, the Electron Ion Collider, and forthcoming lattice studies. |
| title | Rapidity-Dependent Spin Decomposition of the Nucleon |
| topic | High Energy Physics - Phenomenology Nuclear Theory |
| url | https://arxiv.org/abs/2507.18615 |