6533b853fe1ef96bd12ad57e
RESEARCH PRODUCT
Towards an understanding of discrete ambiguities in truncated partial wave analyses
L. Ron WorkmanLothar TiatorReinhard BeckAlfred ŠVarcY. Wunderlichsubject
PhysicsComplex conjugateContinuum (measurement)Nuclear Theory010308 nuclear & particles physicsScatteringNumerical analysismedia_common.quotation_subjectFOS: Physical sciencesObservableComputer Science::Computation and Language (Computational Linguistics and Natural Language and Speech Processing)AmbiguityInvariant (physics)01 natural sciencesNuclear Theory (nucl-th)partial wave decomposition continuum and discrete ambiguitiesTheoretical physicsAmplitude0103 physical sciences010306 general physicsmedia_commondescription
It is well known that the observables in a single-channel scattering problem remain invariant once the amplitude is multiplied by an overall energy- and angle-dependent phase. This invariance is called the continuum ambiguity and acts on the infinite partial wave set. It has also long been known that, in the case of a truncated partial wave set, another invariance exists, originating from the replacement of the roots of partial wave amplitudes with their complex conjugate values. This discrete ambiguity is also known as the Omelaenko-Gersten-type ambiguity. In this paper, we show that for scalar particles, discrete ambiguities are just a subset of continuum ambiguities with a specific phase and thus mix partial waves, as the continuum ambiguity does. We present the main features of both, continuum and discrete ambiguities, and describe a numerical method which establishes the relevant phase connection.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-08-22 |