Bachelor Thesis With Prof. Kahlhoefer in 2021

 

Resonant dark matter annihilations in the early Universe

The goal of this bachelor thesis:

  • Become familiar with calculations of the dark matter relic abundance via the freeze-out mechanism
  • Calculate the thermally averaged cross section for resonant annihilations
  • Write a numerical code to include corrections not considered in the standard treatment

The student will learn:

  • How to describe the interactions of dark matter in the early Universe
  • How to calculate thermal averages analytically and numerically
  • How to accurately treat processes with resonant enhancement

Requirements:

  • General interest in particle physics and cosmology
  • Some familiarity with python

Semi-classical approximations for dark matter self-interactions

The goal of this bachelor thesis:

  • Become familiar with the calculation of scattering cross sections for non-relativistic particles in the classical limit and in quantum mechanics
  • Derive suitable expressions for the intermediate “semi-classical” regime
  • Calculate scattering cross sections for specific forms of the potential between dark matter particles

The student will learn:

  • How to calculate classical trajectories and quantum mechanical partial waves
  • How to approximate quantum mechanical calculations in a semi-classical approach
  • How to efficiently calculate and compare results obtained under different approximations

Requirements:

  • Strong interest in quantum mechanics and particle physics
  • Necessary programming skills can be learned during the project