Relations between classical phase-space distributions and Wigner function for multiparticle production processes

TL;DR

This paper examines how classical phase-space distributions relate to Wigner functions in multiparticle production, revealing temperature differences and corrections that depend on the interaction region's size, with implications for different scattering processes.

Contribution

It provides a detailed analysis of the relationship between classical phase-space distributions and Wigner functions, highlighting temperature discrepancies and size-dependent corrections.

Findings

Classical temperature exceeds Wigner function temperature.

Correction term scales as R^(-2), where R is the interaction radius.

Corrections are negligible for heavy ion scattering but significant for e+e- annihilations.

Abstract

The effects of interpreting classical phase space distributions as Wigner functions, which is common in models of multiparticle production, are discussed. The temperature for the classical description is always higher than that for its Wigner function interpretation. A rough estimate shows that the corresponding correction is proportional to R^(-2), where R is the radius of the interaction region, and that it is negligible for heavy ion scattering, but at the few percent level for e^+e^- annihilations.