Mathematical aspects of phase rotation ambiguities in partial wave analyses
Abstract
The observables in a single-channel -body scattering problem remain invariant once the amplitude is multiplied by an overall energy- and angle-dependent phase. This invariance is known as the continuum ambiguity. Also, mostly in truncated partial wave analyses (TPWAs), discrete ambiguities originating from complex conjugation of roots are known to occur. In this note, it is shown that the general continuum ambiguity mixes partial waves and that for scalar particles, discrete ambiguities are just a subset of continuum ambiguities with a specific phase. A numerical method is outlined briefly, which can determine the relevant connecting phases.
Keywords
Cite
@article{arxiv.2009.11625,
title = {Mathematical aspects of phase rotation ambiguities in partial wave analyses},
author = {Yannick Wunderlich},
journal= {arXiv preprint arXiv:2009.11625},
year = {2020}
}
Comments
11 pages, 3 figures; This article was originally published as part of the Proceedings of the Mini-Workshop "Advances in Hadronic Resonances" held in Bled, Slovenia, in July 2017