# FYSS3400 Fundamentals of Theoretical Nuclear Physics (9 cr)

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## Description

Angular momentum algebra and Wigner-Eckart theorem

Nuclear mean-field

Harmonic oscillator wave functions and their use as a basis function

Many particle systems and occupation number representation

Density matrix

Hartree-Fock theory

Nucleon-nucleon interaction

Nuclear density functional theory and Skyrme energy density functional

Infinite nuclear matter and its equation of the state

Electromagnetic and allowed beta transitions in nuclei

Nuclear isospin

Valence spaces containing a few particles or holes

Configuration mixing and use of m-scheme

Tamm-Dancoff approximation

RPA and linear response theory

Transition strength function and giant resonances

## Learning outcomes

After completing this course student

Can apply angular momentum algebra

Solve spherically symmetric nuclear mean-field

Describe the basics of density functional theory in the nuclear physics

Solve Hartree-Fock equations numerically

Recognize the basic aspects of nucleon-nucleon interaction

Apply electromagnetic and beta-decay transition operators

Explain and solve numerically configuration mixing

Apply TDA and RPA theories in the nuclear physics

Evaluate obtained theoretical results against experimental data

## Description of prerequisites

Nuclear physics (FYSS3300) or similar knowledge

Quantum mechanics (FYSA2031 and FYSA2032) or similar knowledge

Basic Unix/Linux user skills

## Study materials

## Literature

- P. Ring, P. Schuck, The Nuclear Many-Body Problem, ISBN 978-3-540-21206-5.
- J. Suhonen, From Nucleons to Nucleus, ISBN: 978-3-540-48859-0.
- Schunck Nicolas (edited), Energy Density Functional Methods for Atomic Nuclei

## Completion methods

### Method 1

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### Method 2

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### Teaching (9 cr)

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Self-study, lectures, exercises and final exam as home exam.

### Independent study (9 cr)

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Self-study, exercises and final exam as home exam.