Two-Particle Correlations in the Wave Function and Covariant Current Approaches

TL;DR

This paper compares wave-function and current formalisms for two-particle correlations in relativistic nuclear collisions, showing they are equivalent under specific conditions and yield the same single-particle Wigner density.

Contribution

It demonstrates the equivalence of wave-function and current approaches for two-particle correlations in relativistic nuclear collisions.

Findings

Both formalisms produce identical single-particle Wigner densities under certain conditions.

The wave-function and current parameterizations of the source coincide when appropriately related.

The study clarifies the relationship between two common formalisms in particle correlation analysis.

Abstract

We consider two-particle correlations, which appear in relativistic nuclear collisions due to the quantum statistics of identical particles, in the frame of two formalisms: wave-function and current. The first one is based on solution of the Cauchy problem, whereas the second one is a so-called current parametrization of the source of secondary particles. We argue that these two parameterizations of the source coincide when the wave function at freeze-out times is put in a specific correspondence with a current. Then, the single-particle Wigner density evaluated in both approaches gives the same result.