Beam energy dependence of Hanbury-Brown-Twiss radii from a blast-wave model

TL;DR

This study uses a blast-wave model to analyze how Hanbury-Brown-Twiss radii depend on beam energy, matching experimental data and revealing the importance of particle emission duration and freeze-out temperature in system lifetime estimates.

Contribution

It introduces a parameterization of the blast-wave model across beam energies and highlights the significance of emission duration and temperature tuning in HBT radii calculations.

Findings

Model results agree with RHIC-STAR and LHC-ALICE data.

Particle emission duration significantly affects HBT radii.

Adjusting freeze-out temperature influences system lifetime inversely.

Abstract

The beam energy dependence of correlation lengths (the Hanbury-Brown-Twiss radii) is calculated by using a blast-wave model and the results are comparable with those from RHIC-STAR beam energy scan data as well as the LHC-ALICE measurements. A set of parameter for the blast-wave model as a function of beam energy under study are obtained by fit to the HBT radii at each energy point. The transverse momentum dependence of HBT radii is presented with the extracted parameters for Au + Au collision at $\sqrt{s_{NN}} = $ 200 GeV and for Pb+Pb collisions at 2.76 TeV. From our study one can learn that particle emission duration can not be ignored while calculating the HBT radii with the same parameters. And tuning kinetic freeze-out temperature in a range will result in system lifetime changing in the reverse direction as it is found in RHIC-STAR experiment measurements.