Institute of Physics
Topic
Theoretical description of two-body correlations in atomic nucleus
PhD. program
Nuclear and subnuclear physics
Year of admission
2025
Name of the supervisor
RNDr. Anton Repko, PhD.
Contact:
Receiving school
Faculty of Mathematics, Physics and Informatics
Annotation
The mean-field methods, based on Skyrme or Gogny functional, or the relativistic mean-field, belong among the standard tools for the microscopic description of atomic nuclei along the whole chart of nuclides. However, most of the existing nuclei have open-shell configuration, where the nucleon-nucleon pairing becomes an important phenomenon which needs to be addressed. Usual treatments involve the BCS approximation, or some of its enhancements, such as HFB (Hartree-Fock-Bogoliubov), projected BCS, or Lipkin-Nogami scheme [1,2]. There are certain unsatisfactory aspects in most of these methods, such as energy cut-off [3], the different interaction employed for the mean-field and the pairing contribution, and the appearance of spurious contributions in the excitation spectra [4]. There exist also some alternative approaches for the treatment of short-range correlations, such as seniority, quartet pairing [5], or Brückner-Hartree-Fock. The task of the doctoral student will consist in active participation in the development of computer codes based on Hartree-Fock, implementation of some of the approaches mentioned above, evaluation of their accuracy, and their possible improvements. For this aim, a working knowledge of C programming is required. Knowledge of additional frameworks, such as C++, Rust, CUDA or OpenCL is also welcome.