  This article reports a measurement of the production cross section of prompt
isolated photon pairs in proton-antiproton collisions at \sqrt{s} = 1.96 TeV
using the CDF II detector at the Fermilab Tevatron collider. The data
correspond to an integrated luminosity of 5.36/fb. The cross section is
presented as a function of kinematic variables sensitive to the reaction
mechanisms. The results are compared with three perturbative QCD calculations:
(1) a leading order parton shower Monte Carlo, (2) a fixed next-to-leading
order calculation and (3) a next-to-leading order/next-to-next-to-leading-log
resummed calculation. The comparisons show that, within their known
limitations, all calculations predict the main features of the data, but no
calculation adequately describes all aspects of the data.
