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, $\ddot{I}{ƒ}_0$, and the three single-spin observables, $\hat{I}\pounds$, $T$ 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