Asymptotic Diffraction Theory and Nuclear Scattering

Description

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. 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