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Imaging nuclear shape through anisotropic and radial flow in high-energy heavy-ion collisions

Abstract

Most atomic nuclei exhibit ellipsoidal shapes characterized by quadrupole deformationβ2and triaxialityγ, and sometimes even a pear-like octupole deformationβ3. The STAR experiment introduced a new 'imaging-by-smashing' technique ((STAR Collaboration) 2024Nature63567; Jia 2025Rep. Prog. Phys.88092301) to image the nuclear global shape by colliding nuclei at ultra-relativistic speeds and analyzing outgoing debris. Features of nuclear shape manifest in collective observables like anisotropic flowvnand radial flow via mean transverse momentum[pT]. We present new measurements of the variances ofvn(n = 2, 3, and 4) and[pT], and the covariance ofvn2with[pT], in collisions of highly deformed238U and nearly spherical197Au. Ratios of these observables between the two systems effectively suppress common final-state effects, isolating the strong impact of uranium's deformation. By comparing results with state-of-the-art hydrodynamic model calculations, we extractβ2UandγUvalues consistent with those deduced from low-energy nuclear structure measurements. Measurements ofv3and its correlation with[pT]also provide the first experimental suggestion of a possible octupole deformation for238U. These findings provide significant support for using high-energy collisions to explore nuclear shapes on femtosecond timescales, with implications for both nuclear structure and quark-gluon plasma studies.

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