Speaker
Dmitri Fedorov
(Aarhus University)
Description
Determination of the energy and the width of a resonance from experimental data is not an unambiguous procedure, in particular for broader resonances. Likewise, it is not unusual that different theoretical approaches to calculation of resonances result in somewhat different resonance parameters.
In an attempt to clarify the situation we perform an investigation, using a simple model quantum system with a resonance (a particle in a potential well) as an example, where we simulate experimental determination of resonance parameters with the ordinary R-matrix method, and then compare these "experimental" parameters with those calculated using different theoretical approaches.
The results tend to show that the different theoretical methods are in good agreement with each other (and with the "experiment") for narrow resonances but begin to disagree as the resonance width is increased. We argue that the disagreement is actually not due to some methods being "more precise" than others, but due to the inherent impossibility to uniquely define the resonance parameters as measurable physical observables.
Author
Dmitri Fedorov
(Aarhus University)
Co-authors
Aksel Jensen
(Aarhus University)
Hans Fynbo
(Aarhus University)
