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The impact of nuclear deformation on relativistic heavy-ion collisions: assessing consistency in nuclear physics across energy scales

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arxiv 2105.01638 v3 pith:P3ALT3A4 submitted 2021-05-04 nucl-th hep-phnucl-ex

classification nucl-thhep-phnucl-ex
keywords betacollisionsdatadeformationnuclearcolliderenergyexperiments
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

In the hydrodynamic framework of heavy-ion collisions, elliptic flow, $v_2$, is sensitive to the quadrupole deformation, $\beta$, of the colliding ions. This enables one to test whether the established knowledge on the low-energy structure of nuclei is consistent with collider data from high-energy experiments. We derive a formula based on generic scaling laws of hydrodynamics to relate the difference in $v_2$ measured between collision systems that are close in size to the value of $\beta$ of the respective species. We validate our formula in simulations of 238U+238U and 197Au+197Au collisions at top Relativistic Heavy Ion Collider (RHIC) energy, and subsequently apply it to experimental data. Using the deformation of 238U from low-energy experiments, we find that RHIC $v_2$ data implies $0.16 \lesssim |\beta| \lesssim 0.20$ for 197Au nuclei, i.e., significantly more deformed than reported in the literature, posing an interesting puzzle in nuclear phenomenology.

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Cited by 14 Pith papers

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    nucl-th 2025-04 conditional novelty 6.0 of 10

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    In AMPT simulations of 200 GeV Au+Au and O+O collisions, nucleon size smears deformation probes, but scaled v2 and scaled rho2 remain robust for deformation in heavy systems, while delta-pT fluctuation is a cleaner nu...

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