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Collective Nuclear Vibrations and Initial State Shape Fluctuations in Central Pb + Pb Collisions: Resolving the v2 to v3 Puzzle

  • Fields, Particles, and Nuclei
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Abstract

We have studied, for the first time, the influence of the collective quantum effects in the nuclear wavefunctions on the azimuthal anisotropy coefficients ∈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 208Pb nucleus by a factor of ~2.2. The Monte Carlo Glauber simulation of the central Pb + Pb collisions accounting for the restriction on the quadrupole moment leads to ∈2/∈3 ≈ 0.8 which allows to resolve the v2-to-v3 puzzle.

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Acknowledgments

I am grateful to S.P. Kamerdzhiev for helpful communications on the physics of giant resonances and to N.N. Nikolaev for discussing the results.

Funding

This work was supported in part by the Russian Foundation for Basic Research, project no. 18-02-40069mega.

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Authors and Affiliations

  1. Landau Institute for Theoretical Physics, Russian Academy of Sciences, Moscow, 117334, Russia

    B. G. Zakharov

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  1. B. G. Zakharov
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Correspondence to B. G. Zakharov.

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Zakharov, B.G. Collective Nuclear Vibrations and Initial State Shape Fluctuations in Central Pb + Pb Collisions: Resolving the v2 to v3 Puzzle. Jetp Lett. 112, 393–398 (2020). https://doi.org/10.1134/S0021364020190029

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