Abstract
To learn about a physical system of interest, experimental results must be able to discriminate among models. We introduce a geometrical measure to quantify the distance between models for pseudoscalar-meson photoproduction in amplitude space. Experimental observables, with finite accuracy, map to probability distributions in amplitude space, and the characteristic width scale of such distributions needs to be smaller than the distance between models if the observable data are going to be useful. We therefore also introduce a method for evaluating probability distributions in amplitude space that arise as a result of one or more measurements, and show how one can use this to determine what further measurements are going to be necessary to be able to discriminate among models.
Highlights
Nuclear and hadron physics have entered an era of high precision measurements from often very demanding experiments
We note that in practice, experiments are configured to have beam polarization, target polarization, the ability to determine recoil polarization or some combination thereof. Each of these experimental configurations are sensitive to different combinations of “observables”, and so not all observables can be measured in isolation [14]
The question that we aim to address is what kind of experimental results do we need to be able to discriminate between various models at specific kinematics
Summary
Nuclear and hadron physics have entered an era of high precision measurements from often very demanding experiments. We note that in practice, experiments are configured to have beam polarization, target polarization, the ability to determine recoil polarization or some combination thereof Each of these experimental configurations are sensitive to different combinations of “observables”, and so not all observables can be measured in isolation [14]. The RPR-2011 model is a hybrid Regge-isobar model for γ p → K + with very low number of parameters Both models are fitted to a large data set of cross sections, a sizable set of single-polarization observables (mostly P ) and a limited number of double-polarization observables. Further measurements of dσ d are unlikely to provide information to further for discriminate between the assumptions underlying the “BoGa” and “RPR-2011” models
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