The course introduces some of the most important concepts and methods of modern nuclear structure theory. The syllabus presents a continuation of the topics included in the fourth-year course - Nuclear Physics, and provides a basis for a number of elective courses in the doctoral program. The emphasis is on the introduction of physical ideas and basic theoretical methods that are used in the description of a variety of phenomena governed by the strong, electromagnetic and weak interactions in atomic nuclei. The syllabus includes the necessary mathematical techniques, an overview of modern theoretical low-energy nuclear physics, and prepares students for individual research projects.
1) NUCLEAR INTERACTIONS: deuteron, nucleon-nucleon scattering and nuclear forces, nucleon-nucleon potentials, three-nucleon systems and NNN interactions;
2) Models of nuclear structure: structure of light nuclei from NN and NNN forces, the mean-field concept and the nuclear shell model, deformed nuclear potential and rotations, the Hartree-Fock self-consistent field, pairing correlations, Hartree-Fock-Bogoliubov theory, harmonic vibrations, random-phase approximation;
3) Electromagnetic interactions: the nuclear electromagnetic current, the quantized electromagnetic field, emission of electromagnetic radiation, selection rules and sum rules, effective charge;
4) Weak nuclear interactions: simple theory of beta-decay, allowed transitions, nuclear beta-decay, neutrino in beta-decay, symmetry-breaking in beta-decay.
- John Dirk Walecka, Theoretical Nuclear and Subnuclear Physics, World Scientific Publishing Company, (2004).
- Amos De Shalit, Herman Feshbach, Theoretical Nuclear Physics, John Wiley & Sons Inc (1974).
- Peter Ring, Peter Schuck, The Nuclear Many-Body Problem, Springer (2005).
- Walter Greiner, Joachim A. Maruhn, Nuclear Models, Springer (2006).
- David J. Rowe, John L. Wood, Fundamentals of Nuclear Models, World Scientific Publishing Company, (2010).