# FYSS3500 Mean Field Models in Nuclear Physics (5 cr)

**Study level:**

**Grading scale:**

**Language:**

**Responsible organisation:**

**Curriculum periods:**

## Description

Seniority model

BCS theory and quasiparticles

BCS theory combined with Hartree-Fock scheme

Generalized Bogoliubov transform

Hartree-Fock-Bogoliubov theory and its application to nuclear density functional theory

Spontaneous symmetry breaking

Deformed mean-field

Constrained Hartree-Fock-Bogoliubov and deformation energy

Introduction to Hartree-Fock-Bogoliubov theory in rotating frame

## Learning outcomes

After completing this course student

Explain nuclear superfluidity and pairing

Apply quasiparticle transformation

Understands the application of BCS theory in nuclear physics

Explain nuclear deformation and deformed mean-field

Solve Hartree-Fock-Bogoliubov (HFB) equations numerically

Apply density functional theory for deformed nuclei

Compute deformation energy with constrained HFB method

Evaluate obtained theoretical results against experimental data

## Additional information

Given on spring semester, every two years starting spring 2022.

## Description of prerequisites

Fundamentals of Theoretical Nuclear Physics (FYSS3400) 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.; ISBN: 978-3-540-21206-5
- J. Suhonen, From Nucleons to Nucleus, ISBN: 978-3-540-48859-0.; ISBN: 978-3-540-48859-0
- Schunck Nicolas (edited), Energy Density Functional Methods for Atomic Nuclei

## Completion methods

### Method 1

**Description:**

**Evaluation criteria:**

**Time of teaching:**

**Parts of the completion methods**

### Participation in teaching (5 cr)

**Type:**

**Grading scale:**

**Evaluation criteria:**

**Language:**

**Study methods:**

Lectures, exercises and final exam as a take home exam.