# Bose-Einstein condensation and liquid-gas phase transition in alpha-matter

## TL;DR

This paper investigates the phase diagram of alpha-matter with Bose particles, revealing the coexistence of liquid-gas phase transition and Bose-Einstein condensation, similar to helium-4, using a Skyrme-like mean-field model.

## Contribution

It introduces a mean-field model for alpha-particle matter that captures both liquid-gas transition and Bose-Einstein condensation, highlighting their interplay and sensitivity to interaction parameters.

## Key findings

- Phase diagram shows liquid-gas transition and BEC lines
- Critical point can coincide with BEC line under weak interactions
- Results are qualitatively similar to helium-4 liquid

## Abstract

Systems of Bose particles with both repulsive and attractive interactions are studied using the Skyrme-like mean-field model. The phase diagram of such systems exhibits two special lines in the chemical potential-temperature plane: one line which represents the first-order liquid-gas phase transition with the critical end point, and another line which represents the onset of Bose-Einstein condensation. The calculations are made for strongly-interacting matter composed of alpha particles. The phase diagram of this matter is qualitatively similar to that observed for the atomic He4 liquid. The sensitivity of the results to the model parameters is studied. For weak interaction coupling the critical point is located at the Bose-condensation line.