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.

Relativistic distribution function for particles with spin at local thermodynamical equilibrium / F. Becattini; V. Chandra; L. Del Zanna; E. Grossi. - In: ANNALS OF PHYSICS. - ISSN 0003-4916. - STAMPA. - 338:(2013), pp. 32-49. [10.1016/j.aop.2013.07.004]

Relativistic distribution function for particles with spin at local thermodynamical equilibrium

BECATTINI, FRANCESCO;DEL ZANNA, LUCA;GROSSI, EDUARDO
2013

Abstract

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.
2013
338
32
49
F. Becattini; V. Chandra; L. Del Zanna; E. Grossi
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/830501
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