FYSS3500 Mean Field Models in Nuclear Physics (5 cr)

Study level:
Advanced studies
Grading scale:
Responsible organisation:
Department of Physics
Curriculum periods:
2020-2021, 2021-2022, 2022-2023


  • 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

Lecture notes 


  • 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

Given every two years starting spring 2022.
Evaluation criteria:
Exercises (50%) and final exam (50%).
Time of teaching:
Period 3, Period 4
Select all marked parts
Parts of the completion methods

Participation in teaching (5 cr)

Participation in teaching
Grading scale:
Evaluation criteria:
Exercises (50%) and final exam (50%).
Study methods:

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