Calculation of Particle Pair Correlation Functions with Classical Trajectory Approximation

TL;DR

This paper introduces a Monte Carlo model using classical trajectory approximation to calculate particle pair correlation functions, enabling better extraction of source size and evolution in heavy-ion collisions.

Contribution

It presents a novel self-consistent Monte Carlo approach that incorporates source emission and three-body interactions for femtoscopic correlation analysis.

Findings

Correlation functions are highly sensitive to source size.

Temperature has negligible effect on correlation functions.

Model fits experimental data well.

Abstract

Femtoscopic interferometry is a powerful tool for probing the spatio-temporal evolution of emission sources in heavy-ion collisions. A major challenge in the field is formulating a self-consistent description of the source function, final-state interactions between the particle pair, and interactions inherent to the source itself. To address this, we have developed a novel Monte Carlo model for calculating two-particle correlation functions in a classical trajectory approximation (CTA-I). The model incorporates self-consistently the emission source of thermal equilibrium and three-body final state interactions. Application of the model shows satisfactory fit to experimental data, revealing that the correlation function is highly sensitive to the source's spatio-temporal extent. In contrast, the temperature parameter governing the emitted particles' energy spectra has a negligible influence. Our approach offers the potential to extract the spatio-temporal information from the emission source, thereby advancing the applicability of femtoscopic interferometry in the Fermi energy domain.