Analysis of $\Delta^{+}(1232)$ Isobar Observables, with Improved Quark Distribution Amplitudes

Abstract

A model distribution amplitude for the $\Delta^{+}(1232)$ isobar is proposed, derived on the basis of the QCD sum-rule calculations of Farrar et al. combined with those of Carlson and Poor. The transition form factor $\gamma p\Delta^{+}$ is calculated modeling the proton by selected distribution amplitudes. Furthermore, predictions are made for some exclusive charmonium decays into $\Delta\bar{\Delta}$. The obtained results are compared with other theoretical models and with the available data.