Syllabus
- Quantum-mechanical description of two-body system
- Coordinate and momentum-space representation, local and nonlocal interactions
- Scattering and bound states, Lippmann-Schwinger equation
- Basic properties of nuclear forces
- Phenomenological models of baryon-baryon interactions
- Models derived from effective field theories
- "pionless" effective field theory
- chiral effective field theory
- Three- and few-body nuclear systems
- Relative Jacobi coordinates
- Antisymmetrization of the wave function for systems of identical fermions
- Faddeev equations
- Solutions of Shrödinger equation by variational basis-expansion methods (No-Core Shell Model, Hyperspherical Harmonics Method, Stochastic Variational Method)
Annotation
The main aim of the course is to provide an introduction to state-of-the-art theoretical approaches to describe nuclear systems composed of few baryons. Particular emphasis will be placed on employing modern systematical methods based on so-called ab initio computational techniques to solve the Schrödinger equation with realistic
Hamiltonians derived from effective quantum field theories. The lecture is suitable for more advanced and doctoral students of Nuclear and Particle or Theoretical Physics. Basic knowledge of quantum mechanics and quantum field theory is necessary.