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Open AccessArticle

Polarized Baryon Production in Heavy Ion Collisions: An Analytic Hydrodynamical Study

Department of Atomic Physics, Eötvös Loránd University, Pázmány P. s. 1/A, H-1117 Budapest, Hungary
Author to whom correspondence should be addressed.
Universe 2019, 5(5), 101;
Received: 19 March 2019 / Revised: 26 April 2019 / Accepted: 28 April 2019 / Published: 1 May 2019
(This article belongs to the Special Issue The Zimányi School and Analytic Hydrodynamics in High Energy Physics)
In this paper, we utilize known exact analytic solutions of perfect fluid hydrodynamics to analytically calculate the polarization of baryons produced in heavy-ion collisions. Assuming local thermodynamical equilibrium also for spin degrees of freedom, baryons get a net polarization at their formation (freeze-out). This polarization depends on the time evolution of the Quark-Gluon Plasma (QGP), which can be described as an almost perfect fluid. By using exact analytic solutions, we can thus analyze the necessity of rotation (and vorticity) for non-zero net polarization. In this paper, we give the first analytical calculations for the polarization four-vector. We use two hydrodynamical solutions; one is the spherically symmetric Hubble flow (a somewhat oversimplified model, to demonstrate the methodology); and the other solution is a somewhat more involved one that corresponds to a rotating and accelerating expansion, and is thus well-suited for the investigation of some of the main features of the time evolution of the QGP created in peripheral heavy-ion collisions (although there are still numerous features of real collision geometry that are beyond the scope of this simple model). Finally, we illustrate and discuss our results on the polarization. View Full-Text
Keywords: hydrodynamics; heavy ion collisions; polarization hydrodynamics; heavy ion collisions; polarization
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Boldizsár, B.; Nagy, M.I.; Csanád, M. Polarized Baryon Production in Heavy Ion Collisions: An Analytic Hydrodynamical Study. Universe 2019, 5, 101.

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