Fixed-t analyticity as a constraint in single energy partial wave analyses of meson photoproduction reactions

Abstract

Partial wave amplitudes of meson photoproduction reactions are an important source of information in baryon spectroscopy. We investigate a new approach in single-energy partial wave analyses of these reactions. Instead of using a constraint to theoretical models in order to achieve solutions which are continuous in energy, we enforce the analyticity of the amplitudes at fixed values of the Mandelstam variable $t$. We present an iterative procedure with successive fixed-$t$ amplitude analyses which constrain the single-energy partial wave analyses and apply this method to the $\gamma p\to \eta p$ reaction. We use pseudo data, generated by the EtaMAID model, to test the method and to analyze ambiguities. Finally, we present an analytically constrained partial wave analysis using experimental data for four polarization observables recently measured at MAMI and GRAAL in the energy range from threshold to $\sqrt{s}=1.85$ GeV.

46 pages, 24 figures

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• Eta and Etaprime Photoproduction on the Nucleon with the Isobar Model EtaMAID2018
• Strange Hadron Spectroscopy with Secondary KL Beam in Hall D
• Amplitude- and truncated partial-wave analyses combined: A novel, almost theory-independent single-channel method for extracting photoproduction multipoles directly from measured data
• Single-Energy Partial Wave Analysis for ${\pi }^0$ Photoproduction on Proton with Fixed-$t$ Analyticity Imposed
• Single-energy partial wave analysis for pion photoproduction with fixed-t analyticity
• Application of the single-channel, single-energy AA/PWA method to $K^{+}\Lambda$ photoproduction
• Laurent+Pietarinen Partial Wave Analysis
• The role of angle dependent phase rotations of reaction amplitudes in $\eta$ photoproduction on protons
• Is the pole content of each single-energy, single-channel partial wave analysis inherently model dependent?