Relativistic selfinteracting particle­-antiparticle system of bosons

  • D. Anchishkin Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
  • V. Gnatovskyy Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
  • D. Zhuravel Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, Kyiv, Ukraine
  • V. Karpenko Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
Keywords: boson system, particles and antiparticles, Bose-Einstein condensation

Abstract

Thermodynamic properties of a system of an interacting boson particles and antiparticles at high 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 . It is obtained that the condensation represents a discontinuity of the derivative of the specific heat at T = Tc .

Published
2020-12-09
Section
Articles