COURSE GOALS:
- acquire knowledge and understanding of the theory and phenomenology of particle physics
- acquire the methods to calculate the measurable quantities
- acquire an insight in modern experiments at colliders, in astrophysics and in cosmology
LEARNING OUTCOMES AT THE LEVEL OF THE PROGRAMME:
1. KNOWLEDGE AND UNDERSTANDING
1.1 formulate and interpret the basic laws of physics including mechanics, electromagnetism and thermodynamics
1.2 demonstrate profound knowledge of advanced methods of theoretical physics which include classical mechanics, classical electrodynamics, statistical physics and quantum physics
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
2.2 recognize analogies in the situations that are physically different, as well as in the situations analogous to the physical ones, as well as applying known solutions when solving new problems
4. COMMUNICATION SKILLS
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
5.2 follow the development of new knowledge in the field of physics independently and give his/her own professional opinion on its scope and possible applications
5.3 engage in scientific work and research within the framework of postgraduate doctoral studies
LEARNING OUTCOMES SPECIFIC FOR THE COURSE:
Upon passing the course on Elementary Particle Physics I, the student will be able to:
* classify elementary particles and forces according to their lifetimes and interaction strengths, and to use the appropriate system of units (natulal and Heaviside-Lorentz rationalized units);
* show the Maxwell equations in covariant form and to demonstrate the covariant Lagrangian resulting in these equations;
* demonstrate a heuristic derivation of Schrödinger ad Klein-Gordon equations;
* demonstrate a derivation of the Dirac equation by a linearization of the Klein-Gordon equation;
* solve the Dirac equation for a free particle and to use the Dirac spinors;
* demonstrate a property of basic forces under discrete C, P and T transformations; demonstrate a determination of a pion parity via its s-wave scattering on the deuteron; a quark flow diagram for rezidual strong force binding a proton and a neutron into the deuteron;
* describe the conserved quantities related to continuous space-time symmetries (Noether theorem) and explain Lavoisier mass conservation in chemical reactions;
* demonstrate the second quantization formalism and express the energy, momentum and the charge of Dirac field in terms of the number operators;
* demonstrate a knowledge of the basic concepts of quantum electrodynamics (S-matrix, Dyson formula and Feynman rules for QED). Qualitative and quantitative description of the second order QED processes (Moeler, Bhabha, and Compton scattering and the pair production/annihilation). Quantitative description of the electron-positron annihilation into muon-antimuon pair.
COURSE DESCRIPTION:
Lectures per weeks (15 weeks in total):
The Fall semester
1. week - Identification of fundamental particles and forces
2.-3.week - Basic principles - relativistic, quantum and symmetry principle: Relativistic kinematics, Heavyside-Lorentz and Natural units, particles as tensor fields.
4. -5.week - Decay widths and cross sections: CM and lab system; Lorentz invariant phase space.
6. week - Dirac equation: Scrhödinger and Klein-Gordon equation; jednadžba; Dirac gamma matrices; Classical and quantum Dirac field; Particle and antiparticle spinors.
7. week - Aproximative symmetries in particle physics: Discrete C, P i T; Charge symmetry, isospin and flavour.
8. week - Dynamics of quarks and hadrons: Hadron multipletis; Diagrams of quark flow.
9. week - Variational principle: Lagrangian of Maxwell and Dirac field, Noether currents.
10. week - Local (gauge) symmetry: Interaction Lagrangian for QED; Potantial scattering.
11. week - Feynman approach to electrodynamics: Dyson formula; Feynman rules for QED; Fermi golden rule.
12. week - QED in 2nd perturbation order: Moeler, Bhabha and Compton scattering and pair production/annihilation.
13. week - Other 2nd order QED processes: Mott scattering and electron- positron annihilation.
14. -15. week - Lepton-nucleon scattering: Rutherford and Mott scattering; Rosenbluth formula).
Exercises are indicated in the COURSE DESCRIPTION after the lectures content in bold letters.
REQUIREMENTS FOR STUDENTS:
Students must deliver 50% of the written home exams during the semester.
GRADING AND ASSESSING THE WORK OF STUDENTS:
Grading and assessing the work of students during the semester:
- There are at least four written home exams
- There is a written "quiz" as an entrance to a final exam
Grading after the second semester:
- final written and oral exam
Contributions to the final grade:
- one third of the grade are carried by the written home exams (2 ECTS points)
- one third of the grade are carried by the results of the final written exam (3 ECTS points)
- the oral exam carries one third of the grade (2 ECTS points).
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- I. Picek, Fizika elementarnih čestica, Sveučilište u Zagrebu, HINUS, Zagreb, 1997.
- M. Thomson, Modern particle physics, Cambridge University Press, 2013
- D. Griffiths, Introduction to Elementary Particles, Harper&Row, 1987
- F. Halzen, A.D. Martin, Quarks & Leptons, J. Wiley&Sons, 1984.
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