Skip to main content
Log in

Analytic Model Studies of Polarized Baryon Production

  • Published:
Physics of Particles and Nuclei Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.

Similar content being viewed by others

REFERENCES

  1. J. Adam et al. [STAR Collab.], “Global Λ hyperon polarization in nuclear collisions: Evidence for the most vortical fluid,” Nature 548, 62 (2017).

    Article  ADS  Google Scholar 

  2. 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).

    Article  ADS  MathSciNet  Google Scholar 

  3. L. P. Csernai, F. Becattini, and D. J. Wang, “Turbulence, vorticity and lambda polarization,” J. Phys. Conf. Ser. 509, 012054 (2014).

    Article  Google Scholar 

  4. 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).

    Article  Google Scholar 

  5. 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).

    Article  ADS  Google Scholar 

  6. Y. Xie, D. Wang, and L. P. Csernai, “Global Λ polarization in high energy collisions,” Phys. Rev. C 95, 031 901 (2017).

    Article  Google Scholar 

  7. B. Boldizsár, M. I. Nagy, and M. Csanád, “Polarized baryon production in heavy ion collisions: An analytic hydrodynamical study,” Universe 5 (5), 101 (2019).

    Article  ADS  Google Scholar 

  8. 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).

    Article  Google Scholar 

  9. M. I. Nagy, “New simple explicit solutions of perfect fluid hydrodynamics and phase-space evolution,” Phys. Rev. C 83, 054 901 (2011).

    Article  Google Scholar 

  10. Y. Hatta, J. Noronha, and B. W. Xiao, “Exact analytical solutions of second-order conformal hydrodynamics,” Phys. Rev. D 89, 051 702 (2014).

    Article  Google Scholar 

  11. T. Csörgõ and B. Lörstad, “Bose-Einstein correlations for three-dimensionally expanding, cylindrically symmetric, finite systems,” Phys. Rev. C 54, 1390 (1996).

    Article  ADS  Google Scholar 

  12. 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).

    Article  ADS  Google Scholar 

Download references

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.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to B. Boldizsár.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Boldizsár, B. Analytic Model Studies of Polarized Baryon Production. Phys. Part. Nuclei 51, 345–349 (2020). https://doi.org/10.1134/S1063779620030065

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063779620030065

Navigation