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Evidence of Hexadecapole Deformation in Uranium-238 at the Relativistic Heavy Ion Collider
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abstract
There is strong evidence of the failure of hydrodynamic simulations of the quark-gluon plasma (QGP) to reproduce data on the elliptic flow of particles in relativistic collisions of $^{238}$U nuclei at the BNL Relativistic Heavy Ion Collider (RHIC). We demonstrate that this failure is caused by an inappropriate implementation of well-deformed ions, such as $^{238}$U, in the hydrodynamic framework. Past studies have identified the deformation of the nuclear surface with that of the nuclear volume, though these are different concepts. In particular, a volume quadrupole moment can be generated by both a surface hexadecapole and a surface quadrupole moment. This feature was so far neglected in the modeling of heavy-ion collisions, and is particularly relevant for nuclei like $^{238}$U, which is both quadrupole- and hexadecapole-deformed. With rigorous input from Skyrme density functional calculations, we show that correcting for such effects in the implementation of nuclear deformations in hydrodynamic simulations restores agreement with BNL RHIC data. This brings consistency to the results of nuclear experiments across energy scales, and demonstrates the impact of the hexadecapole deformation of $^{238}$U on high-energy collisions.
Forward citations
Cited by 6 Pith papers
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Nonlinear collective flow reveals the breakdown of quadrupole--hexadecapole scaling in heavy ion collisions
The nonlinear flow coefficient ξ6,222 in simulated U+U collisions separates the four (β2, β4) nuclear topology classes, making the sign of the hexadecapole deformation β4 experimentally accessible.
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Scaling approach to rigid and soft nuclear deformation through flow fluctuations in high-energy nuclear collisions
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