Multiple Scattering and the Many-Body Problem—Applications to Photomeson Production in Complex Nuclei

Kenneth Watson

Physical Review · 1953 · 498 citations · 19 references

Concepts

TL;DR

The study examines fast‑particle scattering by atomic nuclei. The work discusses how the solution relates to the impulse approximation. The authors decompose the wave function into coherent and incoherent parts and apply the theory to photomeson production in complex nuclei. They provide a rigorous many‑body Schrödinger solution structured as a multiply scattered wave, enabling derivation of optical models and systematic corrections.

Abstract

A study is made of the scattering of fast particles by atomic nuclei. A rigorous (formal) solution to the many-body Schr\"odinger equation is given which has the structure of a multiply scattered wave. The relation of this solution to the "impulse approximation" is discussed. A decomposition of the wave function into "coherent" and "incoherent" parts is effected. This makes it possible to derive the familiar "optical models" directly, as well as to find systematic corrections to these models. The theory is applied to a discussion of photomeson production in complex nuclei.

References

19