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M.Sc. Kai Urban

Courses and Dates

Title and Module Assignment
Quantum Mechanics 2 Assigned to modules:
VO 4 Ibarra, A. Fri, 10:00–12:00, PH HS2
Wed, 12:00–14:00, PH HS2
Exercise to Quantum Mechanics 2 Assigned to modules:
UE 2 Herms, J. Rappelt, A. Strobl, P. Urban, K.
Responsible/Coordination: Ibarra, A.
dates in groups

Offered Bachelor’s or Master’s Theses Topics

Partialwellenunitarität und der Dunkelmaterie-Sommerfeldeffekt

In many dark matter models with a heavy dark matter particle and a light
mediator, the so-called Sommerfeld enhancement plays an important role. In
some cases, this non-relativistic effect can modify annihilation cross-
sections by orders of magnitude. Furthermore, zero-energy resonances
associated with bound states are observed for special values of the dark
matter mass. In the vicinity of these resonances, partial-wave unitarity
fails and a special treatment is necessary.

In this thesis, the student will become familiar with the basic theoretical
formalism to calculate the Sommerfeld enhancement and learn how to restore
partial-wave unitarity around the resonances in a self-consistent way. As
part of the project, the student shall write a small code computing the
Sommerfeld enhancement by solving a Schroedinger equation, investigate the
various parametric dependencies and compare the numerical results to known
(semi)-analytic results for several potentials.

suitable as
  • Bachelor’s Thesis Physics
Supervisor: Martin Beneke
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