Relativistic distribution function for particles with spin at local thermodynamical equilibrium
By F. Becattini, V. Chandra, L. Del Zanna, E. Grossi. 2013
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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 to predict their polarization, and particularly of Lambda hyperons, in relativistic heavy ion collisions at the freeze-out.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/45716af619b65ea912dccaeef8eb9a839d175075
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In Astronomy and Astrophysics
In Nuclear and High Energy Physics
Citations in the corpus
- Fate of spin polarization in a relativistic fluid: An entropy-current analysis (2019, background): “[32–34] for more information about the meaning of the Belinfante transformation and the tensor structure of spin current.”
- Relativistic dissipative spin dynamics in the relaxation time approximation (2020, background): “Recently, several works have used this concept to express the equilibrium Wigner function as a phase space integral [9,25,26,43]”