Theoretical Nuclear Physics

Robert Roth
WS 2024/2025
Here you will find the lecture notes as PDF files. They will be provided chapter-by-chapter as we proceed throught the semester.

The usual warning: Downloading and reading the lecture notes will not replace active participation in the lecture. The lecture notes are only ment to provide you with a complete documentation of what was covered in the lecture and as a help for preparing the exam.

Chapter PDF
Prolog
Titel - Table of Contents (preliminary)

1. Introduction
Modern Nuclear Structure Theory - The Nucleon-Nucleon Interaction - The Quantum Mechanical Many-Body Problem - New Experiments, New Questions - Nuclear Observables

2. Elements of Quantum Mechanics
Angular Momentum, Spin and Isospin - Many-Particle Hilbert Space - Angular Momentum Coupling

3. Nucleon-Nucleon Interaction
Empirical Properties - Symmetries and Operator Structure - Effective Theories of the NN Interaction

4. The Two-Nucleon Problem
Hamiltonian in the Two-Nucleon System - Partial-Wave Basis - Two-Nucleon Bound State - Two-Nucleon Scattering - More Than Two Nucleons

5. The Many-Nucleon Problem
Second Quantization and Fock Space - Non-Interacting Many-Nucleon Problem - Interacting Many-Nucleon System

6. Hartree-Fock Approximation
Variational Method - Hartree-Fock Approximation - Skyrme Hartree-Fock - What is Hartree-Fock Good For?

Here you will find the exercise sheets and (one week later) also the solutions. Please have them ready as printout or on some digital device for the exercise classes.

Date Title Exercise Sheet Solution
28.10. 1st Exercise
Angular Momentum Algebra - Spin - Total Spin of Two Particles
4.11. 2nd Exercise
Quick Questions - Three-Particle Hilbert Space - Spin-Orbit Coupling
18.11. 3rd Exercise
Quick Questions - Two-Nucleon Spin Space - Classical Dipole-Dipole Interaction
2.12. Supplement
Deuteron Solution in Mathematica
If you want doe dive deeper... here is a selection of nuclear theory textbooks. Unfortunately, the selection is limited and none of the books really covers the state-of-the-art of nuclear many-body theory.
  • P. Ring, P. Schuck - The Nuclear Many-Body Problem
    Springer (2004) - ISBN 3 540 21206 X
  • C. Bertulani - Nuclear Physics in a Nutshell
    Princeton (2007) - ISBN 0 691 12505 8
  • M.A. Preston, R.K. Bhaduri - Structure of the Nucleus
    Addison-Wesley (1975) - ISBN 0 201 05977 0
  • K. Heyde - Basic Ideas and Concepts in Nuclear Physics
    IoP Publishing (2004) - ISBN 0 750 30980 6
  • A. de-Shalit, H. Feshbach - Theoretical Nuclear Physics: Nuclear Structure
    Wiley-Interscience (1990) - ISBN 0 471 52366 6

If you feel like brushing up on your knowledge of quantum mechanics, I recommend one of the follwoing textbooks:

  • R. Shankar - Principles of Quantum Mechanics
    Plenum Publishers (1994) - ISBN 0 306 44790 8
  • J.J. Sakurai - Modern Quantum Mechanics
    Addison Wesley (1993) - ISBN 0 201 53929 2
  • W. Nolting - Grundkurs Theoretische Physik 7. Viel-Teilchen-Theorie
    Springer (2005) - ISBN 3 540 24117 5
  • B.H. Bransden, C.J. Joachain - Quantum Mechanics
    Pearson Edu. (2000) - ISBN 0 582 35691 1
  • F.S. Levin - An Introduction to Quantum Theory
    Cambridge Univ. Press (2002) - ISBN 0 521 59841 9
  • N. Zettili - Quantum Mechanics: Concepts and Applications
    Wiley (2001) - ISBN 0 471 48944 1