The aim of this course is to introduce students with the basic concepts and methodology of theoretical nuclear physics and applications in description of the structure and dynamics of atomic nucleus. The course follows the mandatory courses from the fourth year of study Nuclear Physics 1 and 2 and represents an introduction to more advanced courses in nuclear physics, in particular within the doctoral study program of nuclear physics. The emphasis is on the physical ideas underlying the models of nuclear structure, and in covering necessary mathematical and computational skills. The course provides an overview of modern low-energy nuclear physics and prepares students for independent research work in the field of theoretical nuclear physics.
LEARNING OUTCOMES AT THE LEVEL OF THE PROGRAMME:
1. Knowledge and understanding
1.2 demonstrate profound knowledge of advanced methods of theoretical physics which include classical mechanics, classical electrodynamics, statistical physics and quantum physics
1.3 demonstrate profound knowledge of the most important physics theories, which includes their interpretation, experimental motivation and confirmation, logical and mathematical structure, and description of the related physical phenomena
1.4 outline and describe the latest scientific researches in the area of student's specialization
2. Applying knowledge and understanding
2.1 develop a way of thinking that allows the student to set the model or to recognize and use the existing models in the search for solutions to specific physical and analog problems
2.3 apply standard methods of mathematical physics, in particular mathematical analysis and linear algebra and corresponding numerical methods when solving physics problems
4. Communication skills:
4.2 acquire the skills needed to adapt the presentation of his/her research results to experts in the field as well as to broader public
4.3 use English as the language of communication in the profession, the use of literature, and writing scientific papers and articles
5. Learning skills
5.1 consult professional literature independently as well as other relevant sources of information, which implies a good knowledge of English as a language of professional communication
5.3 engage in scientific work and research within the framework of postgraduate doctoral studies
LEARNING OUTCOMES SPECIFIC FOR THE COURSE:
Upon completion of the course the student will be able to:
1. Explain the general form of the nucleon-nucleon interaction starting from the basic symmetries and experimental nucleon-nucleon scattering data;
2. Describe the nuclear shell model and use it to explain the magic numbers in atomic nuclei;
3. Apply harmonic oscillator potential with spin-orbit interaction in the description of single-particle spectra of spherical and deformed nuclei;
4. Qualitatively and quantitatively describe the rotation of the atomic nucleus, the rotational bands and electromagnetic transitions within the band.
5. Explain Hartree-Fock model and apply it in the description of the doubly magic atomic nuclei;
6. Explain Hartree-Fock-Bogoliubov model and apply it in the description of atomic nuclei with open shells;
7. Explain the random phase approximation and apply it in the description of collective excitations in atomic nuclei;
8. Describe the nuclear structure theory framework with configuration mixing and apply it in the description of low-energy states in atomic nuclei;
9. Explain the mechanism of restoring the broken symmetries at the level of the mean-field and apply it to specific examples of translational and rotational symmetry.
1. Nuclear interactions (1 week);
2. Nuclear single-particle shell model (1 week);
3. Deformed nuclear potential and rotations (1 week);
4. Nuclear Hartree-Fock model (2 weeks);
5. Pairing correlations in nuclei: Hartree-Fock-Bogoliubov model (2 weeks);
6. Harmonic vibrations of atomic nuclei: random phase approximation (2 weeks);
7. Self-consistent models: mean field approximation and configuration mixing (1 week);
8. Symmetries and projections in models of nuclear physics (1 week);
9. Algebraic models (2 weeks);
Each topic is covered by the corresponding practical example that is worked out using numerical methods and simulations.
REQUIREMENTS FOR STUDENTS:
Students are required to attend classes regularly, to participate in solving problems. In the final stage of the course, students will solve more advanced project assignment, and present the results in the form of oral presentation to the instructor and other students.
GRADING AND ASSESSING THE WORK OF STUDENTS:
During the semester students solve problems and deliver the project, and their achievements are evaluated. For students who successfully completed all assignments during the semester, final oral exam will be given.