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Registration Number

0225U004167, (0120U102221) , R & D reports

Title

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

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Розрахунки ймовірності підбар`єрного та спонтанного поділу. Розрахунки густини числа частинок та коефіцієнтів поверхневого натягу енергії симетрії нагрітих ядер в залежності від параметра асиметрії та температури. Дослідження нейтронної шкіри та гало в атомних ядрах в рамках теорії Фермі-рідини.

Head

Ivanyuk Fedir O., Доктор фізико-математичних наук

Registration Date

21-11-2025

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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To describe relaxation processes in systems obeying Fermi statistics, a diffusion approximation to the Landau–Vlasov kinetic theory has been developed and applied, within which the effects of particle collisions are reproduced through the effective diffusion and mobility processes in momentum space. Within the framework of a semiclassical model based on the Vlasov kinetic equation for finite Fermi systems, the dynamic effects of the nuclear surface in isoscalar dipole modes of heavy nuclei are investigated. It was found that the dynamic effects of the nuclear surface have a significant impact on the nature of the isoscalar dipole modes. The isoscalar dipole force function has a two-resonance structure. Calculations of velocity fields in the dynamic surface approximation show the vortex nature of the low-energy isoscalar dipole resonance and the compression nature of the high-energy resonance. The pass method was applied to the statistical integral of the Grand Canonical Ensemble for the cases of one-component and two-component Van der Waals gas. This allowed us to obtain the equation of state and corrections to the pressure and density of the finite statistical system. These allow us to take into account the finite dimensions of the system and are expected to be used, in particular, in the case of a nuclear fireball arising in nucleus-nuclear collisions at high energies.

Product Description

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Магнер Олександр Григорович
Valerii I. Abrosimov
Sanzhur Andrij I
Radionov Sergey V
Krivenko_Emetov Yaroslav D.
Ustym V. Hryhor'iev
Serhii M. Fedotkin
Dmytro V. Horpynchenko
Serhii Y. Luk'ianov

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2025-11-21