Angular structure of many-body correlations in atomic nuclei: From nuclear deformations to diffractive vector meson production in $γA$ collisions
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| Format: | Preprint |
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2025
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| _version_ | 1866916701594976256 |
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| author | Blaizot, Jean-Paul Giacalone, Giuliano |
| author_facet | Blaizot, Jean-Paul Giacalone, Giuliano |
| contents | There is growing evidence that high-energy scattering processes involving nuclei can offer unique insights into the many-body correlations present in nuclear ground states, in particular those of deformed nuclei. These processes involve, for instance, the collective anisotropic flows in heavy-ion collisions, or the diffractive production of vector mesons in photo-nuclear ($γA$) interactions. In this paper, we use a classical approximation and simple analytical models in order to exhibit characteristic and universal features of ground-state correlation functions that result from the presence of a deformed intrinsic state. In the case of a small axial quadrupole deformation, we show that the random rotation of the intrinsic density of the nucleus leads to a specific quadrupole modulation of the lab-frame two-body density as a function of the relative azimuthal angle. As a phenomenological, albeit academic application, we analyze the diffractive production of vector mesons in high-energy $γ+^8$Be collisions. This demonstrates with the simplest deformed nucleus how the two-body correlations impact the $|t|$ dependence of the incoherent cross sections. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_15421 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Angular structure of many-body correlations in atomic nuclei: From nuclear deformations to diffractive vector meson production in $γA$ collisions Blaizot, Jean-Paul Giacalone, Giuliano Nuclear Theory High Energy Physics - Experiment High Energy Physics - Phenomenology Nuclear Experiment There is growing evidence that high-energy scattering processes involving nuclei can offer unique insights into the many-body correlations present in nuclear ground states, in particular those of deformed nuclei. These processes involve, for instance, the collective anisotropic flows in heavy-ion collisions, or the diffractive production of vector mesons in photo-nuclear ($γA$) interactions. In this paper, we use a classical approximation and simple analytical models in order to exhibit characteristic and universal features of ground-state correlation functions that result from the presence of a deformed intrinsic state. In the case of a small axial quadrupole deformation, we show that the random rotation of the intrinsic density of the nucleus leads to a specific quadrupole modulation of the lab-frame two-body density as a function of the relative azimuthal angle. As a phenomenological, albeit academic application, we analyze the diffractive production of vector mesons in high-energy $γ+^8$Be collisions. This demonstrates with the simplest deformed nucleus how the two-body correlations impact the $|t|$ dependence of the incoherent cross sections. |
| title | Angular structure of many-body correlations in atomic nuclei: From nuclear deformations to diffractive vector meson production in $γA$ collisions |
| topic | Nuclear Theory High Energy Physics - Experiment High Energy Physics - Phenomenology Nuclear Experiment |
| url | https://arxiv.org/abs/2504.15421 |