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Registration Number

0225U004200, (0120U102221) , R & D reports

Title

Quantum and semi-classical aspects of collective processes in heavy atomic nuclei

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Процеси релаксації колективних збуджень в скінченних Фермі системах. Отримання рівняння стану та положення критичної точки для матерії з альфа-частинок у підході з застосуванням сил Скірма для опису взаємодії між частинками в підході, де наближено враховуються ефекти квантової статистики Бозе. Дослідження залежності критичних величин від параметрів сил Скірма.

Head

Ivanyuk Fedir O., Доктор фізико-математичних наук

Registration Date

25-11-2025

Organization

Institute of Nuclear Research of the National Academy of Sciences of Ukraine

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The development of quantum Langevin approach for the investigation of the structure and rearrangement of atomic nuclei in complicated processes, in particular, in the process of sub-barrier fission of heavy nuclei.

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The critical point temperature, particle number density, and pressure for nucleonic and particle matter were calculated within the framework of the quantum van der Waals (QVdW) and quantum mean-field Skyrm models with corrections for Fermi and Bose statistics. Their analytical dependence on the system parameters of the particles, such as their mass, degeneracy, and interparticle interaction constants, was found. The equation of state in the QVdW model was analytically derived and used to study the effects of quantum statistics near the critical point of a two-component system of nucleon and -particle matter. Fluctuations in the number of particles near the critical point of nuclear matter have been studied. The application of the van der Waals equation to asymmetric nuclear matter in the critical state region is considered. Based on the expression of entropy in the Thomas–Fermi approximation, corrections to the pressure and free energy of VdW are obtained, which arise due to Fermi statistics. Based on the experimental value of the critical temperature of symmetric nuclear matter and a comparison of the VdW model with the Skyrm energy density functional theory, the parameters of the VdW equation of state are obtained. The critical line in the space of pressure, temperature, and neutron-proton composition is considered. The jump in the specific heat capacity when crossing the critical line is discussed.

Product Description

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Mahner Oleksandr Н.
Fedotkin Sergii M
Sanzhur Andrii I
Valerii I. Abrosimov
Kryvenko Yaroslav D
Lukyanov Sergey V
Radionov Sergey V
Dmytro V. Horpynchenko
Ustym V. Hryhor'iev

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2025-11-25