Journal
ANNALS OF PHYSICS
Volume 338, Issue -, Pages 32-49Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2013.07.004
Keywords
Relativistic hydrodynamics; Relativistic kinetic theory; Local thermodynamical equilibrium; Polarization
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Funding
- HIC for FAIR
- Italian Ministry of Research and Education
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We present an extension of relativistic single-particle distribution function for weakly interacting particles at local thermodynamical equilibrium including spin degrees of freedom, for massive spin 1/2 particles. We infer, on the basis of the global equilibrium case, that at local thermodynamical equilibrium particles acquire a net polarization proportional to the vorticity of the inverse temperature four-vector field. The obtained formula for polarization also implies that a steady gradient of temperature entails a polarization orthogonal to particle momentum. The single-particle distribution function in momentum space extends the so-called Cooper-Frye formula to particles with spin 1/2 and allows us to predict their polarization in relativistic heavy ion collisions at the freeze-out. (C) 2013 Elsevier Inc. All rights reserved.
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