Mikroskopické výpočty vlastností jader s realistickou nukleon-nukleonovou interakcí

Herko, Jakub

Title: Microscopic calculations of nuclear properties with realistic nucleon-nucleon interaction Author: Jakub Herko Department: Institute of Particle and Nuclear Physics Supervisor: Mgr. František Knapp, Ph.D., Institute of Particle and Nuclear Phy- sics Abstract: A significant problem of nuclear physics is the fact that the nucleus is quantum many-body system consisting of constituents whose mutual interac- tion is unknown. Therefore, it is necessary to use approximative methods when describing the nucleus. In the microscopic theory of the nucleus we often use the mean-field approximation, in which we consider non-interacting nucleons moving in external field. One approach to obtain an optimal mean-field is the Hartree- Fock method. The first part of this work is theoretical and describes methods of the microscopic theory of the nucleus, especially the Hartree-Fock method, with emphasis on formalism of the second quantization. The second part describes a practical implementation of the Hartree-Fock method in calculations of certain properties of the nuclei and calculations that go beyond this method and include the residual interaction using the perturbation theory. Keywords: Hartree-Fock method, nuclear binding energies, single-particle spectra, many-body perturbation theory

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