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Phase structure and Bose condensation in the interacting system of relativistic bosons-antibosons


Work number - M 31 FILED

Presented Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine

Authors:
ZHURAVEL Denys Vitaliiovych – Doctor of Philosophy, Junior Researcher of the Bogolyubov Institute for Theoretical Physics of the National Academy of Sciences of Ukraine.

In the presented series of works, the thermodynamic properties of a relativistic two-component strongly interacting boson-antiboson system at finite temperatures and a fixed isospin charge were investigated. The aim of the research was to apply the possibility and conditions of Bose-Einstein condensation and to study the phase structure of such a system depending on the ratio between the attractive and repulsive contributions to the interaction between particles. Theoretical approaches were developed to describe the thermodynamic properties of a 2-component relativistic boson-antiboson system that takes into account Bose condensation, namely: the thermodynamic mean-field model and the scalar field model [2,4,6]. Within these approaches, a phase diagram of a system of interacting pions-antipions with an interaction potential similar to the potential in the Skyrm model, in coordinates (T, n), and also depending on other thermodynamic parameters from temperature, a comparison of methods was carried out. For systems with zero isotopic chemical potential, it is shown that a phase transition into a phase with the formation of a Bose condensate is possible only in the strong attraction regime, when the attraction coefficient k>1. For a two-component system with a non-zero isotopic charge and a fixed difference between the number of particles and antiparticles, it is shown that a phase transition with the formation of a Bose condensate occurs for any values ​​of the attraction parameter k. It is shown that the structure of phase transitions depends on this parameter and is divided into different types. The level of the system state in coordinates is obtained. Phase diagrams in (nI, p) coordinates were constructed and the behavior of the pion-antipion system on isotherms was investigated for different values ​​of the repulsive parameter k. It was shown that the system can be in the Bose condensate phase simultaneously with the liquid-gas phase transition.

In the presented series of works, the thermodynamic properties of the relativistic two-component strongly interacting system of bosons-antibosons at finite temperatures and with a fixed isospin charge are investigated. The aim of the research was to study the possibility and conditions of Bose-Einstein condensation and to study the phase structure of such a system depending on the ratio between the attractive and repulsive contributions to the interaction between particles. Theoretical approaches have been developed to describe the thermodynamic properties of a 2-component relativistic system of bosons-antibosons, which take into account Bose condensation, namely: the thermodynamic mean-field model and the scalar field model [2,4,6]. Within the framework of these approaches, a phase diagram of the system of interacting pions-antipions was obtained, in coordinates (T, n), dependences of other thermodynamic parameters on temperature were obtained as well, a comparison of methods was carried out. The mean field was chosen to be similar to the field in the Skyrm model and contains both the attractive and repulsive components of the interaction. Two important cases are investigated: 1) a system with zero isospin chemical potential or charge, when the number of particles is equal to the number of antiparticles; 2) the case of conservation of isospin density for all temperatures, which means that the difference between particles and antiparticles remains constant, as does the chemical potential.

 

Number of publications: 4 articles in journals, included in category "A" (including 2 foreign publications) and 2 articles in journals, included in category "B", 3 abstracts of reports. Total number of citations to authors' publications/h-index according to databases: Web of Science 12/2, Scopus 15/3, Google Scholar 20/3.

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