Nonoverlapping Potentials Research Articles

Scattering from non-overlapping potentials. I. General formulation

The problem of scattering from an assembly of non-overlapping spherical potentials is solved in partial-wave basis for each of the constituent potentials. The resulting scattering operator is a quotient of two infinite matrices and depends on “on-shell” partial wave amplitudes of the individual potentials. It suggests in general a truncation scheme which essentially considers only those partial waves effective for each collision at the given energy. The multiple-scattering series is recovered and limiting cases of low energy and high energy are considered. Applications to high-energy scattering of elementary particles on nuclei are briefly discussed.

Scattering from non-overlapping potentials. I — General formulation: Dan Agassi. Department of Nuclear Physics, The Weizmann Institute of Science, Rehovot and Avraham Gal. Racah Institute of Physics, The Hebrew University of Jerusalem

Scattering from non-overlapping potentials. I — General formulation: Dan Agassi. Department of Nuclear Physics, The Weizmann Institute of Science, Rehovot and Avraham Gal. Racah Institute of Physics, The Hebrew University of Jerusalem

Wave propagation through an assembly of spheres: III. The density of states in a liquid

The expression for the density of states in a system of non-overlapping potentials by Lloyd in 1966 is investigated by means of a diagrammatic technique for the case where the system under discussion is a liquid. The resulting equations express the ensemble-averaged density of states of such a system in terms of the scattering phase shifts and the probability correlation functions for the positions of the scatterers.