On $m_T$ dependence of femtoscopy scales for meson and baryon pairs

TL;DR

This paper investigates how femtoscopy scales depend on transverse mass ($m_T$) for various particle pairs in high-energy collisions, using hydrokinetic modeling and analytical formulas to understand the underlying physics.

Contribution

It provides a detailed hydrokinetic model analysis of $m_T$-scaling in femtoscopy radii, including derivation of analytical formulas for experimental data interpretation.

Findings

$m_T$-scaling varies with transverse flow and re-scattering effects.

Analytical formulas relate femtoscopy scales to temperature, emission time, and flow.

Comparison shows hydrokinetic results align with simplified analytical models.

Abstract

The $m_T$-dependencies of the femto-scales, the so-called interferometry and source radii, are investigated within the hydrokinetic model for different types of particle pairs - pion-pion, kaon-kaon, proton-proton and proton-lambda, - produced in Pb+Pb and $p+p$ collisions at the LHC. In particular, such property of the femto-scales momentum behavior as $m_T$-scaling is studied for the systems with (w) and without (w/o) intensive transverse flow, and also w and w/o re-scattering at the final afterburner stage of the matter evolution. The detail spatiotemporal description obtained within hydrokinetic model is compared with the simple analytical results for the spectra and longitudinal interferometry radii depending on the effective temperature on the hypersurface of maximal emission, proper time of such emission, and intensity of transverse flow. The derivation of the corresponding analytical formulas and discussion about a possibility for their utilization by the experimentalists for the simple femtoscopy data analysis is the main aim of this theoretical investigation.