A Particle Emitting Source From an Accelerating, Perturbative Solution of Relativistic Hydrodynamics

TL;DR

This paper develops a perturbative relativistic hydrodynamics approach to model particle emission sources in heavy-ion collisions, providing analytical forms for source functions and momentum spectra based on perturbations of known solutions.

Contribution

It introduces a first-order perturbative method on top of the Hubble flow solution to derive particle emission sources in relativistic hydrodynamics.

Findings

Derived explicit source functions for particle emission.

Calculated single-particle momentum spectra.

Provided analytical tools for heavy-ion collision observables.

Abstract

The quark gluon plasma is formed in heavy-ion collisions, and it can be described by solutions of relativistic hydrodynamics. In this paper we utilize perturbative hydrodynamics, where we study first order perturbations on top of a known solution. We investigate the perturbations on top of the Hubble flow. From this perturbative solution we can give the form of the particle emitting source and calculate observables of heavy-ion collisions. We describe the source function and the single-particle momentum spectra for a spherically symmetric solution.