Hydrodynamics of a quark droplet

TL;DR

This paper models the hydrodynamical evolution of multi-quark droplets, including expansion, vacuum pressure, surface tension, and hadron emission, revealing oscillating radii and finite lifetimes.

Contribution

It introduces a simplified hydrodynamical model for quark droplet evolution that incorporates collective expansion, vacuum effects, and hadron emission mechanisms.

Findings

Droplets exhibit oscillating radius behavior.

Droplet lifetimes are approximately 9-16 fm/c.

The model predicts gradual droplet shrinkage due to hadron emission.

Abstract

We present a simple model of a multi-quark droplet evolution based on the hydrodynamical description. This model includes collective expansion of the droplet, effects of the vacuum pressure and surface tension. The hadron emission from the droplet is described following Weisskopf's statistical model. We have considered evolution of baryon-free droplets which have different initial temperatures and expansion rates. As a typical trend we observe an oscillating behavior of the droplet radius superimposed with a gradual shrinkage due to the hadron emission. The characteristic life time of droplets with radii 1.5-2 fm are about 9-16 fm/c.