A new and finite family of solutions of hydrodynamics. Part I: Fits to pseudorapidity distributions

TL;DR

This paper introduces a new finite family of exact solutions to 1+1 dimensional relativistic hydrodynamics, demonstrating their applicability by fitting experimental pseudorapidity distributions in high-energy collisions.

Contribution

It presents a novel, exact family of solutions to relativistic hydrodynamics and connects them to experimental data through fitting procedures.

Findings

Successful fits to p+p collision data at 8 TeV.

Successful fits to Pb+Pb collision data at 5.02 TeV.

Demonstrates the relevance of the solutions to real high-energy collision experiments.

Abstract

We highlight some of the interesting properties of a new and finite, exact family of solutions of 1 + 1 dimensional perfect fluid relativistic hydrodynamics. After reviewing the main properties of this family of solutions, we present the formulas that connect it to the measured rapidity and pseudo-rapidity densities and illustrate the results with fits to p+p collisions at 8 TeV and Pb+Pb collisions at $\sqrt{s_{NN}} = 5.02 $ TeV.