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Resonances in three-body systems
Stockholm University, Faculty of Science, Department of Physics. (Atomic Physics)
2014 (English)Licentiate thesis, monograph (Other academic)
##### Abstract [en]

Three particles interacting via Coulomb forces represents a fundamental problem in quantum mechanics whose approximate solution provides some insight into the more complex analysis associated with few-body problems. We have investigated resonance states composed of three particles interacting via Coulombic and more general potentials in non-relativistic quantum mechanics, using the complex scaling method. My calculations have been applied to two different physical systems: (i) an investigation of the possibility of resonances in the $p e \mu$ system, which has been suggested as a possible reason for unexpected results from a recent measurement of the proton radius in muonic hydrogen (ii) a calculation of resonances in positron-hydrogen scattering, which shows that we can represent this system with the accuracy needed for future scattering calculations. The basis set used is built from Gaussians in Jacobi coordinates, thus automatically including mass-polarisation effects which cannot be neglected in muonic systems.

##### Place, publisher, year, edition, pages
Stockholm: Stockholm University, 2014. , 49 p.
##### National Category
Atom and Molecular Physics and Optics
##### Research subject
Theoretical Physics
##### Identifiers
OAI: oai:DiVA.org:su-113455DiVA: diva2:785129
##### Supervisors
Available from: 2015-02-02 Created: 2015-02-02 Last updated: 2016-04-06Bibliographically approved

#### Open Access in DiVA

##### File information
File name FULLTEXT01.pdfFile size 425 kBChecksum SHA-512
Type fulltextMimetype application/pdf
##### By organisation
Department of Physics
##### On the subject
Atom and Molecular Physics and Optics