Investigation of nonlinear dipole cross sections
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866913972571078656 |
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| author | Boroun, G. R. Rezaei, B. |
| author_facet | Boroun, G. R. Rezaei, B. |
| contents | The nonlinear corrections to the Golec-Biernat Wusthoff (GBW) and Bartels- Golec- Kowalski (BGK) models, as discussed by Peredo-Hentschinski [M.A.Peredo and M.Hentschinski, Phys.Rev.D{109}, 014032 (2024)], are analyzed in terms of the gluon density$^{,}$s nonlinear behavior. We incorporate these nonlinear corrections into the low $x$ gluon distribution of the modified BGK model for electron-ion colliders. By verifying that these results allow for a more direct assessment of the relevance of nonlinear corrections in describing the dipole cross section of heavy nuclei, we determine the dipole cross section at a fixed $\sqrt{s}$ and $Q^2$ to the minimum value of $x$ given by $Q^2/s$ of the center-of-mass energy of electron-ion colliders. Additionally, we examine the nonlinear gluon density in the photoproduction cross sections of vector mesons $Ψ(2s)$ and $J/Ψ$ on a lead nucleus. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_01566 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Investigation of nonlinear dipole cross sections Boroun, G. R. Rezaei, B. High Energy Physics - Phenomenology The nonlinear corrections to the Golec-Biernat Wusthoff (GBW) and Bartels- Golec- Kowalski (BGK) models, as discussed by Peredo-Hentschinski [M.A.Peredo and M.Hentschinski, Phys.Rev.D{109}, 014032 (2024)], are analyzed in terms of the gluon density$^{,}$s nonlinear behavior. We incorporate these nonlinear corrections into the low $x$ gluon distribution of the modified BGK model for electron-ion colliders. By verifying that these results allow for a more direct assessment of the relevance of nonlinear corrections in describing the dipole cross section of heavy nuclei, we determine the dipole cross section at a fixed $\sqrt{s}$ and $Q^2$ to the minimum value of $x$ given by $Q^2/s$ of the center-of-mass energy of electron-ion colliders. Additionally, we examine the nonlinear gluon density in the photoproduction cross sections of vector mesons $Ψ(2s)$ and $J/Ψ$ on a lead nucleus. |
| title | Investigation of nonlinear dipole cross sections |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2508.01566 |