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Hexadecapole deformation of $^{238}$U from relativistic heavy-ion collisions using a nonlinear response coefficient
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abstract
The hexadecapole deformation ($\beta_4$) of the $^{238}$U nucleus has not been determined because its effect is overwhelmed by those from the nucleus' large quadrupole deformation ($\beta_2$) in nuclear electric transition measurements. In this Letter, we identify the nonlinear response of the hexadecapole anisotropy to ellipticity in relativistic $^{238}$U+ $^{238}$U collisions that is solely sensitive to $\beta_4$ and insensitive to $\beta_2$. We demonstrate this by state-of-the-art hydrodynamic calculations and discuss the prospects of discovering the $\beta_4$ of $^{238}$U in heavy-ion data at the Relativistic Heavy Ion Collider.
Forward citations
Cited by 4 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
Triangular flow four-particle cumulants scale linearly with the fourth moment of octupole deformation, allowing the mean and variance of 238U octupole deformation to be extracted separately.
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