Amplitude reconstruction from complete experiments and truncated partial-wave expansions

Abstract

We compare the methods of amplitude reconstruction, for a complete experiment and a truncated partial wave analysis, applied to the photoproduction of pseudo-scalar mesons. The approach is pedagogical, showing in detail how the amplitude reconstruction (observables measured at a single energy and angle) is related to a truncated partial-wave analysis (observables measured at a single energy and a number of angles).

17 pages

References in corpus (7)

• Completeness Rules for Spin Observables in Pseudoscalar Meson Photoproduction
• Determining pseudoscalar meson photo-production amplitudes from complete experiments
• The complete experiment for photoproduction of pseudoscalar mesons in a truncated partial wave analysis
• Amplitude ambiguities in pseudoscalar meson photoproduction
• The incompleteness of complete pseudoscalar-meson photoproduction
• Amplitude extraction in pseudoscalar-meson photoproduction: towards a situation of complete information
• Single-energy amplitudes for pion photoproduction in the first resonance region

Cited by in corpus (17)

• The impact of ${\mathbf{K}}^{+}\mathbf{\Lambda }$ photoproduction on the resonance spectrum
• Light baryon resonances from a coupled-channel study including $\mathbf{K\Sigma }$ photoproduction
• Photo- and Electrocouplings of Nucleon Resonances
• Towards the Minimal Spectrum of Excited Baryons
• Amplitude reconstruction from complete electroproduction experiments and truncated partial-wave expansions
• Towards an understanding of discrete ambiguities in truncated partial wave analyses
• Complete experiments in pseudoscalar meson photoproduction revisited
• Fixed-t analyticity as a constraint in single energy partial wave analyses of meson photoproduction reactions
• 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
• On the spin-observables in pseudoscalar meson photoproduction
• Truncated Partial-Wave Analysis for $\eta$-photoproduction observables via Bayesian Statistics
• From Experimental Data to Pole Parameters in a Direct Way (Angle Dependent Continuum Ambiguity and Laurent + Pietarinen Expansion)
• Discrete ambiguities in a partial-wave analysis of pseudoscalar photoproduction with truncation in total angular momentum
• Complete experiment problem for photoproduction of two pseudoscalar mesons on a nucleon in a truncated partial-wave analysis
• Resonances extracted in truncated partial-wave analysis are effective mixtures of angular momenta (Possible implications for Höhler's clustering)