A new and finite family of solutions of hydrodynamics: Part III: Advanced estimate of the life-time parameter
Tam\'as Cs\"org\H{o}, G\'abor Kasza
TL;DR
This paper introduces a new exact solution to relativistic hydrodynamics and derives an improved formula for estimating the lifetime of high-energy collision systems, enhancing previous models.
Contribution
It presents a novel finite, accelerating solution to hydrodynamics and generalizes existing formulas for the HBT-radius, enabling more accurate lifetime estimates.
Findings
Derived a new formula for the longitudinal HBT-radius.
Generalized previous models like Makhlin-Sinyukov.
Provided an advanced estimate of system lifetime in collisions.
Abstract
We derive a new formula for the longitudinal HBT-radius of the two particle Bose-Einstein correlation function from a new family of finite and exact, accelerating solution of relativistic perfect fluid hydrodynamics for a temperature independent speed of sound. The new result generalizes the Makhlin-Sinyukov and Herrmann-Bertsch formulae and leads to an advanced life-time estimate of high energy heavy ion and proton-proton collisions.
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