Abstract
We investigate known exact solutions of hydrodynamics and derive analytic formulas for the polarization of baryons produced at freeze-out. Such polarization (observed in high energy heavy-ion experiments) carries information on the time evolution of the quark-gluon plasma (sQGP), and our results give first analytic insight into the connection between this type of measurements and dynamical properties of the sQGP (e.g. vorticity). We present results for a rotating and acceleratingly expanding solution and also give hints on how to calculate the polarization using a rotating extension of the Buda–Lund parameterization.
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REFERENCES
J. Adam et al. [STAR Collab.], “Global Λ hyperon polarization in nuclear collisions: Evidence for the most vortical fluid,” Nature 548, 62 (2017).
F. Becattini, V. Chandra, L. Del Zanna, and E. Grossi, “Relativistic distribution function for particles with spin at local thermodynamical equilibrium,” Ann. Phys. 338, 32 (2013).
L. P. Csernai, F. Becattini, and D. J. Wang, “Turbulence, vorticity and lambda polarization,” J. Phys. Conf. Ser. 509, 012054 (2014).
Y. L. Xie, M. Bleicher, H. Stöcker, D. J. Wang, and L. P. Csernai, “A polarization in peripheral collisions at moderate relativistic energies,” Phys. Rev. C 94, 054 907 (2016).
I. Karpenko and F. Becattini, “Study of Λ polarization in relativistic nuclear collisions at \(\sqrt {{{s}_{{{\text{NN}}}}}} \) = 7.7–200 GeV,” Eur. Phys. J. C 77, 213 (2017).
Y. Xie, D. Wang, and L. P. Csernai, “Global Λ polarization in high energy collisions,” Phys. Rev. C 95, 031 901 (2017).
B. Boldizsár, M. I. Nagy, and M. Csanád, “Polarized baryon production in heavy ion collisions: An analytic hydrodynamical study,” Universe 5 (5), 101 (2019).
T. Csörgõ, L. P. Csernai, Y. Hama, and T. Kodama, “Simple solutions of relativistic hydrodynamics for systems with ellipsoidal symmetry,” Acta Phys. Hung. A 21, 73 (2004).
M. I. Nagy, “New simple explicit solutions of perfect fluid hydrodynamics and phase-space evolution,” Phys. Rev. C 83, 054 901 (2011).
Y. Hatta, J. Noronha, and B. W. Xiao, “Exact analytical solutions of second-order conformal hydrodynamics,” Phys. Rev. D 89, 051 702 (2014).
T. Csörgõ and B. Lörstad, “Bose-Einstein correlations for three-dimensionally expanding, cylindrically symmetric, finite systems,” Phys. Rev. C 54, 1390 (1996).
M. Csanád, T. Csörgõ, and B. Lörstad, “Buda–Lund hydro model for ellipsoidally symmetric fireballs and the elliptic flow at RHIC,” Nucl. Phys. A 742, 80 (2004).
ACKNOWLEDGMENTS
The author is thankful to Márton I. Nagy and Máté Csanád for the numerous discussions and help given during the work presented here. The author is grateful to the organizers of the 19th Workshop on Particle Correlations and Femtoscopy (WPCF 2019) conference.
Funding
This work was partially supported by the Hungarian NKIFH grants no. FK-123842 and FK-123959.
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Boldizsár, B. Analytic Model Studies of Polarized Baryon Production. Phys. Part. Nuclei 51, 345–349 (2020). https://doi.org/10.1134/S1063779620030065
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DOI: https://doi.org/10.1134/S1063779620030065