M.Sc. Kai Urban

Phone: –
Room: –
E-Mail: kai.urban@tum.de
Links: Page in TUMonline
Group: Theoretical Elementary Particle Physics

Courses and Dates

WS 2019/20 WS 2018/9 SS 2018

Title and Module Assignment
Art	SWS	Lecturer(s)	Dates
General Relativity and Cosmology Assigned to modules: PH2043: General Relativity and Cosmology / Allgemeine Relativitätstheorie und Kosmologie
VO	4	Ibarra, A.	Mon, 08:00–10:00, PH HS3 Wed, 10:00–12:00, PH HS3
Exercise to General Relativity and Cosmology Assigned to modules: PH2043: General Relativity and Cosmology / Allgemeine Relativitätstheorie und Kosmologie
UE	2	Brenner, 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