%0 Journal Article %T Semi-Exclusive Processes: New Probes of Hadron Structure %A S. J. Brodsky %A M. Diehl %A P. Hoyer %A S. Peigne %J Physics %D 1998 %I arXiv %R 10.1016/S0370-2693(99)00082-9 %X We define and study hard ``semi-exclusive'' processes of the form $A+B \to C + Y$ which are characterized by a large momentum transfer between the particles $A$ and $C$ and a large rapidity gap between the final state particle $C$ and the inclusive system $Y$. Such reactions are in effect generalizations of deep inelastic lepton scattering, providing novel currents which probe specific quark distributions of the target $B$ at fixed momentum fraction. We give explicit expressions for photo- and leptoproduction cross sections such as $\gamma p \to \pi Y$ in terms of parton distributions in the proton and the pion distribution amplitude. Semi-exclusive processes provide opportunities to study fundamental issues in QCD, including odderon exchange and color transparency, and suggest new ways to measure spin-dependent parton distributions. %U http://arxiv.org/abs/hep-ph/9812277v1