Spectra and elliptic flow of light hadrons in an expanding fire-cylinder model for the RHIC Beam Energy Scan

TL;DR

This study models the transverse momentum spectra and elliptic flow of light hadrons in peripheral heavy-ion collisions at various energies using an expanding fire-cylinder approach, successfully describing experimental data.

Contribution

It introduces an expanding elliptic fire-cylinder model that incorporates longitudinal and transverse flow to analyze particle spectra and flow in RHIC BES energies, with parameters constrained by pion data.

Findings

Model reproduces $p_T$ spectra across energies and particle types.

Qualitatively captures elliptic flow behavior for all particles.

Provides a unified description without parameter retuning for different hadrons.

Abstract

We investigate the transverse momentum spectra ($p_T$) and elliptic flow ($v_2$) of $\pi^{\pm}$, $K^{\pm}$, $p$, and $\bar{p}$ produced in peripheral Au+Au collisions at $\sqrt{s_{\rm NN}} = 7.7$, 11.5, 19.6, 27, and 39 GeV in the Beam Energy Scan (BES) Program at the Relativistic Heavy Ion Collider (RHIC). The analysis is carried out within an expanding elliptic fire-cylinder model that incorporates longitudinal expansion and anisotropic transverse flow. Particle production at kinetic freeze-out is obtained using a local equilibrium distribution function with a blast-wave-like fluid velocity profile derived from the expansion dynamics of the elliptic fire-cylinder. The model parameters governing the collective expansion are first constrained by fitting the midrapidity $p_T$ spectra of $\pi^{\pm}$ and are then applied, without further adjustment, to $K^{\pm}$, $p$, and $\bar{p}$. The model provides a consistent description of the $p_T$ spectra and reproduces the qualitative behavior of the elliptic flow for all considered particle species.