A new and finite family of solutions of hydrodynamics: Part II: Advanced estimate of initial energy densities

TL;DR

This paper introduces a new exact formula for estimating initial energy densities in relativistic hydrodynamics, accounting for the speed of sound and distribution shape, advancing the precision of such estimates.

Contribution

It presents a novel, finite family of solutions to relativistic hydrodynamics and derives an exact formula for initial energy density estimation.

Findings

New exact formula for initial energy density estimation

Formula incorporates speed of sound and distribution width

Enhances accuracy of hydrodynamic initial condition assessments

Abstract

We derive a new, exact formula for the estimate of the initial energy densities from a new family of finite and exact solution of relativistic perfect fluid hydrodynamics. The new formula depends non-trivially on the speed of sound and on the shape or width parameter of the measured (pseudo)rapidity distribution.