The complete experiment for photoproduction of pseudoscalar mesons in a truncated partial wave analysis

Abstract

The complete experiment problem in the truncated partial wave analysis of pseudoscalar meson photoproduction with suppressed t-channel exchanges is investigated. The focus is set to ambiguities of the group S observables with the unpolarized differential cross section, ${\sigma }_0$, and the three single-spin observables, $\Sigma$, $T$ and $P$. For this purpose, the approach and formalism already worked out by Omelaenko in 1981 is revisited in this work. A numerical study using multipoles of the PWA solution MAID2007 shows how only one additional double polarization observable can resolve all ambiguities. Therefore, the possibility emerges to perform a complete experiment with only five observables.

33 pages, 5 figures, 2 tables; Version 2 has been accepted for publication in Phys. Rev. C

References in corpus (7)

• Unitary Isobar Model - MAID2007
• Extended Partial-Wave Analysis of piN Scattering Data
• Nucleon resonances within a dynamical coupled-channels model of pi N and gamma N reactions
• Nucleon resonances in πN scattering up to energies \sqrt(s) < 2.0 GeV
• Information Content of Polarization Measurements
• Measurement of the ${}^{1}H$($\vec{\gamma }$, $\vec{p}$)${\pi }^0$ reaction using a novel nucleon spin polarimeter
• The incompleteness of complete pseudoscalar-meson photoproduction

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