skip to main content

SciTech ConnectSciTech Connect

Title: Relativistic distribution function for particles with spin at local thermodynamical equilibrium

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. -- Highlights: •Single-particle distribution function in local thermodynamical equilibrium with spin. •Polarization of spin 1/2 particles in a fluid at local thermodynamical equilibrium. •Prediction of a new effect: a steady gradient of temperature induces a polarization. •Application to the calculation of polarization in relativistic heavy ion collisions.
Authors:
 [1] ;  [2] ;  [3] ;  [3] ;  [4] ;  [1] ;  [2] ;  [1] ;  [2]
  1. Università di Firenze, Florence (Italy)
  2. (Italy)
  3. (Germany)
  4. INFN Sezione di Firenze, Florence (Italy)
Publication Date:
OSTI Identifier:
22224226
Resource Type:
Journal Article
Resource Relation:
Journal Name: Annals of Physics (New York); Journal Volume: 338; Other Information: Copyright (c) 2013 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DEGREES OF FREEDOM; DISTRIBUTION FUNCTIONS; EQUILIBRIUM; FREEZING OUT; HEAVY ION REACTIONS; HYDRODYNAMICS; POLARIZATION; RELATIVISTIC RANGE; SPIN; VECTOR FIELDS