Imaging two-body correlations in atomic nuclei via low- and high-energy processes

Abstract

Characterizing the correlated behavior of nucleons inside atomic nuclei constitutes a long-standing challenge, both experimentally and theoretically. It has recently been understood that two-particle correlations in the azimuthal distribution of final hadrons emitted in ultra-relativistic ultra-central ion-ion collisions can be used to quantify ground-state two-body correlations. Performing systematic ab initio nuclear structure calculations of light nuclei, we demonstrate that such an observable does provide a meaningful imaging of nuclear ground states, naturally leading to a robust interpretation of the various categories of two-nucleon correlations at play. This is at variance with the low-energy approach relying on Kumar operators whose traditional interpretation in terms of deformation parameters is shown to be inoperative. A future interesting development will consist of targeting specific three-particle correlations to isolate three-nucleon correlations in which additional nuclear structure information of interest leave their fingerprint.

v2: Minor revisions to main text; expanded Supplementary Material with a new subsection of Numerical Results, including one additional figure. 15 pages, 13 figures, 2 tables

References in corpus (17)

• Heavy Ion Collisions: The Big Picture, and the Big Questions
• Improved nuclear matter calculations from chiral low-momentum interactions
• 3+1D hydrodynamic simulation of relativistic heavy-ion collisions
• Event-by-event fluctuations in perturbative QCD + saturation + hydro model: pinning down QCD matter shear viscosity in ultrarelativistic heavy-ion collisions
• Heavy Ion Collisions: Achievements and Challenges
• Ab initio limits of atomic nuclei
• Symmetry restoration in mean-field approaches
• Hydrodynamic predictions for 5.44 TeV Xe+Xe collisions
• Imaging Shapes of Atomic Nuclei in High-Energy Nuclear Collisions
• Evidence of the triaxial structure of ${}^{129}$Xe at the Large Hadron Collider
• Evidence of Hexadecapole Deformation in Uranium-238 at the Relativistic Heavy Ion Collider
• Evidence for rigid triaxial deformation in ${}^{76}$Ge from a model-independent analysis
• Projection on particle number and angular momentum: Example of triaxial Bogoliubov quasiparticle states
• ${}^{16}{\mathrm{O}}^{16}\mathrm{O}$ at RHIC and the LHC comparing $\alpha$ clustering vs substructure
• Measures of azimuthal anisotropy in high-energy collisions
• Convergence of electric quadrupole rotational invariants from the nuclear shell model
• Topical issue on the intersection of low-energy nuclear structure and high-energy nuclear collisions