Scaling approach to rigid and soft nuclear deformation through flow fluctuations in high-energy nuclear collisions

Abstract

The nature of octupole deformation, whether static or vibrational, remains an open question in nuclear physics. Here, we propose a scaling approach to probe this ambiguity by triangular flow fluctuations using multi-particle cumulants, $c_{3,\epsilon }\{4\}$, in relativistic ${}^{238}$U+${}^{238}$U collisions. We demonstrate that both $|c_{3,\epsilon }\{4\}|$ and the ratio $|c_{3,\epsilon }\{4\}/c_{3,\epsilon }^2\{2\}|$ scale linearly with the fourth-order moment of octupole deformation, $⟨{\beta }_{3,\mathrm{U}}^4⟩$. Combined with the known linear relation of $c_{3,\epsilon }\{2\}$ to $⟨{\beta }_{3,\mathrm{U}}^2⟩$, this new relation provides a direct extraction of both the mean and variance of the octupole deformation fluctuations, finally discriminating between static and dynamic origins. This work establishes a new tool to probe the static and dynamic collective modes in high-energy nuclear collisions, advancing a significant step toward refining the initial conditions of quark-gluon plasma.

8 Pages, 4 figures

References in corpus (41)

• Alternative ansatz to wounded nucleon and binary collision scaling in high-energy nuclear collisions
• Flow analysis with cumulants: direct calculations
• Electric Dipole Moments of the Atoms, Molecules, Nuclei and Particles
• Flow analysis from multiparticle azimuthal correlations
• Generic framework for anisotropic flow analyses with multi-particle azimuthal correlations
• Elliptic flow in the Gaussian model of eccentricity fluctuations
• Running the gamut of high energy nuclear collisions
• Properties of the QCD Matter -- An Experimental Review of Selected Results from RHIC BES Program
• Eccentricity fluctuations and elliptic flow at RHIC
• Linear and cubic response to the initial eccentricity in heavy-ion collisions
• Revealing long-range multi-particle collectivity in small collision systems via subevent cumulants
• Evidence of quadrupole and octupole deformations in ${}^{96}$Zr+${}^{96}$Zr and ${}^{96}$Ru+${}^{96}$Ru collisions at ultra-relativistic energies
• Parameterization of Deformed Nuclei for Glauber Modeling in Relativistic Heavy Ion Collisions
• Imaging Shapes of Atomic Nuclei in High-Energy Nuclear Collisions
• Probing triaxial deformation of atomic nuclei in high-energy heavy ion collisions
• Determination of the neutron skin of ${}^{208}$Pb from ultrarelativistic nuclear collisions
• Determine the neutron skin type by relativistic isobaric collisions
• Characterizing flow fluctuations with moments
• Evidence of the triaxial structure of ${}^{129}$Xe at the Large Hadron Collider
• Imaging the initial condition of heavy-ion collisions and nuclear structure across the nuclide chart
• Evidence of Hexadecapole Deformation in Uranium-238 at the Relativistic Heavy Ion Collider
• Separating the impact of nuclear skin and nuclear deformation in high-energy isobar collisions
• Octupole deformation in the ground states of even-even $Z\sim 96,N\sim 196$ actinides and superheavy nuclei
• Correlations between flow and transverse momentum in Xe+Xe and Pb+Pb collisions at the LHC with the ATLAS detector: a probe of the heavy-ion initial state and nuclear deformation
• Scaling approach to nuclear structure in high-energy heavy-ion collisions
• Elliptic flow fluctuations in central collisions of spherical and deformed nuclei
• High energy collisions of strongly deformed nuclei: An old idea with a new twist
• Ratios of collective flow observables in high-energy isobar collisions are insensitive to final state interactions
• Properties of the QCD Matter: A Review of Selected Results from the ALICE Experiment
• Possible octupole deformation of ${}^{208}$Pb and the ultracentral $v_2$ to $v_3$ puzzle
• Impact of nuclear shape fluctuations in high-energy heavy ion collisions
• Hexadecapole deformation of ${}^{238}$U from relativistic heavy-ion collisions using a nonlinear response coefficient
• Kurtosis of elliptic flow fluctuations
• Exploring the Nuclear Shape Phase Transition in Ultra-Relativistic ${}^{129}$Xe+${}^{129}$Xe Collisions at the LHC
• Collision-System and Beam-Energy Dependence of Anisotropic Flow Fluctuations
• Probe nuclear structure using the anisotropic flow at the Large Hadron Collider
• Methods for systematic study of nuclear structure in high-energy collisions
• Deformation probes for light nuclei in their collisions at relativistic energies
• Collective nuclear vibrations and initial state shape fluctuations in central Pb+Pb collisions: resolving the $v_2$ to $v_3$ puzzle
• Momentum dependent flow correlations in deformed nuclei at collision energies available at the BNL Relativistic Heavy Ion Collider
• Influence of collective nuclear vibrations on initial state eccentricities in Pb+Pb collisions

Cited by in corpus (1)

• Imprints of octupole collectivity in uranium-238 on relativistic heavy-ion flow observables