Complete set of observables for photoproduction of two pseudoscalars on a nucleon

Abstract

The problem of determining completely the spin amplitudes of photoproduction of two pseudoscalar mesons on a nucleon from observables is studied. The procedure of reconstruction of the scattering matrix elements from a complete set of observables is based on the expressions of all observables as quadratic hermitean forms in the reaction matrix elements which are derived explicitly. Their inversion allows one to find explicit solutions for the reaction matrix elements in terms of observables. Two methods for finding a complete set of observables are presented. In particular, one set was found, which does not contain a triple polarization observable.

arXiv comment23 pages, 7 figures, accepted for publication in Phys. Rev. C, eq. (5) corrected and some minor corrections

References in corpus (6)

• Polarization Observables for Two-Pion Production off the Nucleon
• Polarization observables in ${\pi }^0\eta$-photoproduction on the proton
• On Complete Sets of Polarization Observables
• Complete Sets of Polarization Observables in Electromagnetic Deuteron Break-up
• Partial wave expansion for photoproduction of two pseudoscalars on a nucleon
• A Truncated partial wave analysis of a complete experiment for photoproduction of two pseudoscalar mesons on a nucleon

Cited by in corpus (6)

• Light Baryon Spectroscopy
• Moravcsik's theorem on complete sets of polarization observables reexamined
• Minimal complete sets for two pseudoscalar meson photoproduction
• Helicity dependent cross sections for the photoproduction of ${\pi }^0{\pi }^{\pm }$ pairs from quasi-free nucleons
• Complete experiment problem for photoproduction of two pseudoscalar mesons on a nucleon in a truncated partial-wave analysis
• New graphical criterion for the selection of complete sets of polarization observables and its application to single-meson photoproduction as well as electroproduction