Complete experiments in pseudoscalar meson photoproduction revisited

Abstract

By exploiting the underlying symmetries of the relative phases of the pseudoscalar meson photoproduction amplitude, we determine all the possible sets of four double-spin observables that resolve the phase ambiguity of the amplitude in transversity basis up to an overall phase. The present results corroborate the original findings by Chiang and Tabakin [Phys. Rev. C 55, 2054 (1997)]. However, it is found that the completeness condition of four double-spin observables to resolve the phase ambiguity holds only when the relative phases do not meet the condition of equal magnitudes. In situations where this condition occurs, it is shown that one needs extra chosen observables, resulting in the minimum number of observables required to resolve the phase ambiguity to reach up to eight, depending on the particular set of four double-spin observables considered. Furthermore, a way of gauging when the condition of equal magnitudes occurs is provided.

Title changed, typos corrected, references added

References in corpus (8)

• Amplitude reconstruction from complete experiments and truncated partial-wave expansions
• Resolving ambiguities in model-independent partial-wave analysis of three-body decay
• A connection between angular dependent phase ambiguities and the uniqueness of the partial wave decomposition
• Amplitude extraction in pseudoscalar-meson photoproduction: towards a situation of complete information
• Towards an understanding of discrete ambiguities in truncated partial wave analyses
• Polarization observables in the longitudinal basis for pseudo-scalar meson photoproduction using a density matrix approach
• Model discrimination in pseudoscalar-meson photoproduction
• Single-energy amplitudes for pion photoproduction in the first resonance region

Cited by in corpus (7)

• Light Baryon Spectroscopy
• Moravcsik's theorem on complete sets of polarization observables reexamined
• Minimal complete sets for two pseudoscalar meson photoproduction
• Amplitude- and truncated partial-wave analyses combined: A novel, almost theory-independent single-channel method for extracting photoproduction multipoles directly from measured data
• Application of the single-channel, single-energy AA/PWA method to $K^{+}\Lambda$ photoproduction
• Combined analysis of the $\gamma n\to K^0{\Sigma }^0$ and $\gamma n\to K^{+}{\Sigma }^{-}$ reactions
• New graphical criterion for the selection of complete sets of polarization observables and its application to single-meson photoproduction as well as electroproduction