Until the publication of Introduction to Nuclear Reactions, an introductory reference on nonrelativistic nuclear reactions had been unavailable. Providing a concise overview of nuclear reactions, this reference discusses the main formalisms, ranging from basic laws to the final formulae used to calculate measurable quantities.
Well known in their fields, the authors begin with a discussion of scattering theory followed by a study of its applications to specific nuclear reactions. Early chapters give a framework of scattering theory that can be easily understood by the novice. These chapters also serve as an introduction to the underlying physical ideas. The largest section of the book comprises the physical models that have been developed to account for the various aspects of nuclear reaction phenomena. The final chapters survey applications of the eikonal wavefunction to nuclear reactions as well as examine the important branch of nuclear transport equations.
By combining a thorough theoretical approach with applications to recent experimental data, Introduction to Nuclear Reactions helps you understand the results of experimental measurements rather than describe how they are made. A clear treatment of the topics and coherent organization make this information understandable to students and professionals with a solid foundation in physics as well as to those with a more general science and technology background.
PREFACE CLASSICAL AND QUANTUM SCATTERING Experiments with Nuclear Particles Theories and Experiments Reactions Channels Conservation Laws Kinematics of Nuclear Reactions Cross Sections, Center of Mass and Laboratory Frames Classical Scattering The Classical Cross Section Example: Rutherford scattering Orbiting, rainbow and glory scattering Stationary scattering of a plane wave Appendix 1.A - Systems of units Appendix 1.B - Useful constants and conversion factors Exercises References THE PARTIAL-WAVE EXPANSION METHOD The Scattering Wave Function Radial Equation Free Particle in Spherical Coordinates Phase Shifts Scattering Amplitude and Cross Sections Integral Formulae for the Phase-Shifts Hard Sphere Scattering Resonances Scattering from a Square-Well Low Energy Scattering: Scattering Length Scattering Length for Nucleon-Nucleon Scattering The Effective Range Formula Effective Range for Nucleon-Nucleon Scattering Coulomb Scattering An Illustration: a - a Scattering Appendix 2.A - Absolute Phase Shifts and Levinson Theorem Exercises References FORMAL SCATTERING THEORY Introduction: Green's Functions Free Particle's Green's Functions Scattering Amplitude Born Approximation Transition and Scattering Matrices The Two-Potential Formula Distorted Wave Born Approximation Partial-Wave Expansion of the S-Matrix Partial-Wave Free Particle's Green's Functions Collision of Particles with Spin Collisions of Identical Particles Scattering of Clusters of Identical Fermions Imaginary Potentials: Absorption Cross Section Appendix 3.A - Analytical Properties of the S-Matrix Exercises References COMPOUND NUCLEUS REACTIONS Introduction The Nucleon-Nucleon Interaction The Nucleus as a Strongly Absorbing Medium Mean Free Path of a Nucleon in Nuclei Fermi Gas Model Formal Theory of the Optical Potential Empirical Optical Potential Compound Nucleus Formation R-Matrix Average of the Cross Sections Level Densities in Nuclei Compound Nucleus Decay: The Weisskopf-Ewing Theory Reciprocity Theorem The Hauser-Feshbach Theory Appendix 4.A - The Shell Model Exercises References FUSION AND FISSION Introduction The Liquid Drop Model General Considerations on Fusion Reactions The One Dimensional WKB Approximation Connection Formulas in WKB The Three-Dimensional WKB Approximation Heavy Ion Fusion Reactions Sub-Barrier Fusion Superheavy Elements Occurrence of Fission Mass Distribution of the Fragments Neutrons Emitted in Fission Cross Sections for Fission Energy Distribution in Fission Isomeric Fission The Nuclear Reactor Appendix 5.A - The Nilsson Model Exercises References DIRECT REACTIONS Introduction Level Width and Fermi's Golden Rule Direct Reactions: A Simple Approach Direct Reactions: Detailed Calculations Applications of the Shell Model Direct Reactions as Probe of the Shell Model Nuclear Vibrations Photonuclear Reactions - Giant Resonances Coulomb Excitation Electromagnetic Transition Probabilities for Nuclear Vibrations Nuclear Excitation in the Deformed Potential Model Appendix 6.A - Multipole Moments and the Electromagnetic Interaction Exercises References NUCLEAR REACTIONS IN THE COSMOS Cosmic Rays Stellar Evolution: Hydrogen and CNO Cycles White Dwarfs and Neutron Stars Synthesis of Heavier Elements Supernovae Explosions Thermonuclear Cross Sections and Reaction Rates Reaction Networks Models for Astrophysical Nuclear Cross Sections Slow and Rapid Capture Processes Tests of the Solar Models Indirect Methods for Nuclear Astrophysics Reactions Exercises References HIGH ENGERGY COLLISIONS Introduction Nucleons as Billiard Balls Applications of the Classical Model The Eikonal Wavefunction Elastic Scattering Coulomb Amplitude and Coulomb Eikonal Phase Total Reaction Cross Sections Scattering of Particles with Spin The Optical Limit of Glauber Theory Pauli Blocking of Nucleon-Nucleon Scattering Glauber Theory of Multiple Scattering Coulomb Excitation Inelastic Scattering Charge-Exchange Reactions Exercises References RELAVISTIC COLLISIONS Unpacking the Nucleus The Boltzmann-Uehling-Uhlenbeck Equation Wigner Function Numerical Treatment of Transport Equations Structure of Hadrons Quantum Chromodynamics The Quark-Gluon Plasma Exercises References