Wave operators for long-range scattering

Wave Operators for Classical Particle Scattering

We discuss the fundamentals of classical particle scattering of a two body system in forces which are 0 (r~~) at infinity along with their Lipshitz constants. We prove asymptotic completeness for this two-body case. Of particular interest is the fact that in the absence of control on Lipshitz constants at oo, two solutions of the interacting equation may be asymptotic to the same free solution ...

J ul 1 99 8 Long Range Scattering and Modified Wave Operators for some Hartree Type Equations

Long range scattering for the Wave - Schrödinger system with large wave data and small Schrödinger data

We study the theory of scattering for the Wave-Schrödinger system with Yukawa type coupling in space dimension 3. We prove in particular the existence of modified wave operators for that system with no size restriction on the wave data in the framework of a direct method which requires smallness of the Schrödinger data, and we determine the asymptotic behaviour in time of solutions in the range...

Long-Range Correlations in Deep-Inelastic Scattering

Multiplicity correlations between the current and target regions of the Breit frame in deep-inelastic scattering processes are studied. It is shown that the correlations are sensitive to the first-order perturbative QCD effects and can be used to extract the behavior of the boson-gluon fusion rates as a function of the Bjorken variable. The behavior of the correlations is derived analytically a...

Long-Range Correlations in Deep-Inelastic Scattering

Multiplicity correlations between the current and target regions of the Breit frame in deep-inelastic scattering processes are studied. It is shown that the correlations are sensitive to the first-order perturbative QCD effects and can be used to extract the behavior of the boson-gluon fusion rates as a function of the Bjorken variable. The behavior of the correlations is derived analytically a...