Self-interacting particle-antiparticle system of bosons

The thermodynamic properties of a system of interacting boson particles and antiparticles at finite temperatures are studied within the framework of the thermodynamically consistent Skyrme-like mean-field model. The mean field contains both attractive and repulsive terms. Self-consistency relations between the mean field and thermodynamic functions are derived. We assume a conservation of the isospin density for all temperatures. It is shown that, independently of the strength of the attractive mean field, at the critical temperature Tc the system undergoes the phase transition of second order to the Bose-Einstein condensate, which exists in the temperature interval 0 T Tc. We obtained that the condensation represents a discontinuity of the derivative of the heat capacity at T = Tc, and condensate occurs only for the component with a higher particle-number density in the particle-antiparticle system.

Automated summary

This study investigates the thermodynamic properties of a system of interacting boson particles and antiparticles at finite temperatures using the thermodynamically consistent Skyrme-like mean-field model. The results show that the system undergoes a second-order phase transition to the Bose-Einstein condensate at the critical temperature, regardless of the strength of the attractive mean field. The condensation is characterized by a discontinuity in the derivative of the heat capacity at T = Tc, and only occurs in the component with a higher particle-number density in the particle-antiparticle system.