Asymptotic Diffraction Theory and Nuclear Scattering

✍ Scribed by Roy J. Glauber, Per Osland

• Publisher: Cambridge University Press
• Year: 2019
• Tongue: English
• Leaves: 209
• Category: Library

✦ Synopsis

Scattering theory provides a framework for understanding the scattering of waves and particles. This book presents a simple physical picture of diffractive nuclear scattering in terms of semi-classical trajectories, illustrated throughout with examples and case studies. Trajectories in a complex impact parameter plane are discussed, and it stresses the importance of the analytical properties of the phase shift function in this complex impact plane in the asymptotic limit. Several new rainbow phenomena are also discussed and illustrated. Written by Nobel Prize winner Roy J. Glauber, and Per Osland, an expert in the field of particle physics, the book illustrates the transition from quantum to classical scattering, and provides a valuable resource for researchers using scattering theory in nuclear, particle, atomic and molecular physics.

✦ Table of Contents

Cover
Front Matter
ASYMPTOTIC DIFFRACTION THEORY AND NUCLEAR SCATTERING
Copyright
Contents
Preface
Acknowledgments
Abbreviations
Part I - Introduction
1 Overview and Preview
2 Diffraction Theory
3 Asymptotic Diffraction Theory and
Classical Scattering
4 Two Simple Examples
5 Complex Trajectories
6 Scattering from Linear Structures
Part II - Phase Shift Functions for Various Radial Falloffs
7 Phase Shift Functions with Gaussian Decrease
8 Phase Shift Functions with Exponential Edge
9 Sharper Edges
10 Phase Shift Functions with Other Analytic Properties
Part III - Composite Phase Shift Functions
11 Coulomb Scattering from Extended Charges
12 Coulomb Plus Nuclear Interactions
13 Two-Scale Phase Shift Functions
14 Double “Fermi” Phase Shift Functions
15 Different-Strength Singularities
16 Summary
Appendix A. Partial Waves and Phase Shift Function
Appendix B. Iteration for Stationary Points
References
Index