Polarization observables in $\ddot{I}{€}^0\hat{I}\cdot$-photoproduction on the proton

Abstract

For $\ddot{I}{€}^0\hat{I}\cdot$-photoproduction on the nucleon formal expressions are developed for the five-fold differential cross section and the recoil polarization including beam and target polarizations. The polarization observables are described by various beam, target and beam-target asymmetries for polarized photons and/or polarized nucleons. They are given as bilinear hermitean forms in the reaction matrix elements divided by the unpolarized cross section. Numerical results for the linear and circular beam asymmetries for ${\hat{I}}^{3}p\to \ddot{I}{€}^0\hat{I}\cdot p$ are obtained within an isobar model and are compared with existing data. Predictions are also given for the target asymmetry $T_{11}$, and the beam-target asymmetries $T_{10}^c$ and $T_{11}^c$ for circularly polarized photons.

19 pages, 8 figures