Kaon and pion maximal emission times extraction from the femtoscopy analysis of $5.02 A$ TeV LHC collisions within the integrated hydrokinetic model

TL;DR

This paper introduces a simple analytical method to extract maximal emission times of kaons and pions from femtoscopy data in high-energy Pb+Pb collisions at the LHC, validated using the integrated hydrokinetic model.

Contribution

The paper develops and tests a new analytical approach for determining emission times in femtoscopy, applicable to experimental data, based on prior successful formulas at lower energies.

Findings

The method accurately extracts emission times in simulated collisions.

It aligns well with emission times estimated from the model.

The approach is suitable for experimental femtoscopy analysis.

Abstract

A simple method for the extraction of the times of maximal emission for kaons and pions using the combined fitting of their transverse momentum spectra and the longitudinal interferometry radii dependencies on the pair transverse mass $m_T$ is applied to Pb+Pb collisions at the LHC energy $\sqrt{s_{NN}}=5.02$ TeV. The method is based on the analytical formulas, that were earlier successfully utilized in the studies of Pb+Pb collisions at $\sqrt{s_{NN}}=2.76$ TeV. To test the method, the spectra, radii and particle radiation picture are calculated within the integrated hydrokinetic model (iHKM), that includes all the stages of the matter evolution in high-energy A+A collisions: the system's formation, its thermalization, viscous hydrodynamics evolution, particlization and subsequent hadronic cascade. The model describes and predicts well already published LHC data in "soft physics? kinematic region. Thus, the fitting results for maximal emission times of kaons and pions are compared to the approximate maximal emission time values, estimated based on the emission function plots, obtained in iHKM. The developed simple method is intended for use in experimental analysis of femtoscopy data in relativistic A+A collisions.