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arXiv · 2510.23030

Calculation of Particle Pair Correlation Functions with Classical Trajectory Approximation

Sheng Xiao·Yijie Wang·Zhigang Xiao
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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.

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Sheng Xiao, Yijie Wang, Zhigang Xiao. 2025-10-27. Calculation of Particle Pair Correlation Functions with Classical Trajectory Approximation. https://arxiv.org/abs/2510.23030

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