玻色子的自相互作用粒子-反粒子系统
Selfinteracting Particle-Antiparticle System of Bosons
摘要：
在热力学相容的类Skyrme平均场模型的框架下，研究了有限温度下玻色子与反粒子相互作用系统的热力学性质.平均场包含吸引项和排斥项。平均场和热力学函数之间的自洽关系。我们假设所有温度下的同位旋密度守恒。结果表明，在临界温度$T_{\rm c}$下，系统经历了从二级相变到玻色-爱因斯坦凝聚体的相变，该相变存在于温度区间$0 \le T \le T_{\rm c}$内，与平均场的吸引强度无关.结果表明，凝聚是热容在$T = T_{\rm c}$处导数的不连续，凝聚只发生在粒子-反粒子系统中粒子数密度较高的组分上.
英文摘要：
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 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 $T_{\rm c}$ the system undergoes the phase transition of second-order to the Bose-Einstein condensate, which exists in the temperature interval $0 \le T \le T_{\rm c}$. We obtained that the condensation represents a discontinuity of the derivative of the heat capacity at $T = T_{\rm c}$, and condensate occurs only for the component with a higher particle-number density in the particle-antiparticle system.
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