Theoretical Nuclear Physics

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 - What is Hartree-Fock Good For? - Skyrme Hartree-Fock
7.	Direct Diagonalization Eigenvalue Problem and Basis Expansion - Model Space an Truncations - Preconditioning - No-Core Shell Model in Practice
8.	Medium-Mass Methods Normal Ordering of Operators - In-Medium Similarity Renormalization Group - Coupled Cluster Approach - Beyond Ground State and Closed-Shell Nuclei

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
20.1.	5th Exercise Quick Questions - Density Matrices - Expectation Values of Operators

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