Collective nuclear vibrations and initial state shape fluctuations in central Pb+Pb collisions: resolving the $v_2$ to $v_3$ puzzle

Abstract

We have studied, for the first time, the influence of the collective quantum effects in the nuclear wave functions on the azimuthal anisotropy coefficients ${\epsilon }_{2,3}$ in the central Pb+Pb collisions at the LHC energies. With the help of the energy weighted sum rule we demonstrate that the classical treatment with the Woods-Saxon nuclear density overestimates the mean square quadrupole moment of the ${}^{208}$Pb nucleus by a factor of $\sim 2.2$. The Monte-Carlo Glauber simulation of the central Pb+Pb collisions accounting for the restriction on the quadrupole moment leads to ${\epsilon }_2/{\epsilon }_3\approx 0.8$ which allows to resolve the $v_2$-to-$v_3$ puzzle.

6 pages

References in corpus (6)

• Glauber Modeling in High Energy Nuclear Collisions
• Exotic modes of excitation in atomic nuclei far from stability
• Triangularity and Dipole Asymmetry in Heavy Ion Collisions
• Shape and flow fluctuations in ultra-central Pb+Pb collisions at the LHC
• Extracting the bulk viscosity of the quark-gluon plasma
• Nuclear matter at high density: Phase transitions, multiquark states, and supernova outbursts

Cited by in corpus (5)

• Impact of nuclear shape fluctuations in high-energy heavy ion collisions
• Hydrodynamic fluctuations and ultra-central flow puzzle in heavy-ion collisions
• Eccentricities, fluctuations and A-dependence of elliptic and triangular flows in heavy-ion collisions
• Influence of collective nuclear vibrations on initial state eccentricities in Pb+Pb collisions
• Scaling approach to rigid and soft nuclear deformation through flow fluctuations in high-energy nuclear collisions