In this review article, we will develop the perturbative framework for the calculation of hard scattering processes. We will undertake to provide both a reasonably rigorous development of the formalism of hard scattering of quarks and gluons as well as an intuitive understanding of the physics behind the scattering. We will emphasize the role of logarithmic corrections as well as power counting...

Compton scattering (γ+p → γ+p) in the hard scattering limit is a potentially powerful probe of the short-distance structure of the nucleon. It is a natural complement to high Q exclusive reactions, such as elastic form factors and deeply virtual Compton scattering (DVCS), where the common feature is a hard energy scale, leading to a factorization of the transition amplitude into a part involvin...

In QCD hard scattering cross sections, the color content of the underlying hard scattering evolves with a factorization scale. This evolution is controlled by an anomalous dimension matrix, specific to each hard-scattering reaction. Anomalous dimensions are determined from the renormalization of products of ordered exponentials of the gauge field, which describe the coherent radiation of gluons...

1 Generalities In the following I will describe new data (see gures 1-16) about the following systems: 1. A1 resonances in the two-dimensional 2-disk scattering system, 2. B1 resonances in the two-dimensional 2-disk scattering system, 3. A1 resonances in the two-dimensional 3-disk scattering system, 4. the shape resonances in the two-dimensional 1-disk scattering system, 5. m = 0 and jmj = 1 re...

The scattering intensity of polydisperse systems of core-shell and layered hard spheres is considered. The Percus-Yevick solution for the partial structure factors is cast in a form suitable for numerical and analytical treatment. Closed-form, analytical expressions are given for an effective hard-sphere model of the scattering intensity of particles with an internal layered structure and a siz...

Real Compton Scattering (RCS) in the hard scattering limit is a powerful probe of the short-distance structure of the nucleon. It is a natural complement to other hard exclusive reactions that are currently being pursued at Jefferson Laboratory (JLab) and elsewhere, such as high Q elastic form factors, hard pion electroproduction and photoproduction, and Virtual Compton Scattering (VCS), and De...