Relativistic Heavy-Particle Collision Theory

1. Heavy-Particle Ion-Atom Collisions.- 1. Introduction to Non-Relativistic Collisions.- 2. Introduction to Relativistic Collisions.- 3. Lorentz Transformations.- 4. The Dirac Equation.- 5. Dirac Equation in a Central Field.- 2. Relativistic Electron Capture.- 1. Distorted Wave Theories of Nonradiative Capture.- 2. Relativistic OBK Theory.- 3. Relativistic Continuum Distorted Waves.- 4. The Relativistic Symmetric Eikonal Model.- 5. Asymmetric Theories.- 6. Results and Discussion.- 3. Second-Order Theories.- 1. Second-Order Theories of Relativistic Electron Capture.- 2. Relativistic OBK1 and Peaking Approximations.- 3. The Relativistic Bates Approximation.- 4. Relativistic OBK2.- 5. The Relativistic Impulse Approximation.- 6. Half-on-Shell OBK2.- 4. Radiative Electron Capture.- 1. Introduction to Radiative Electron Capture.- 2. Collision System.- 3. Distorted-Wave Method.- 4. 2s Bound-State Wavefunctions.- 5. Target Roothan-Hartree-Fock Bound States.- 6. Results and Discussion.- 5. Relativistic Ionization.- 1. Introduction to Relativistic First Born and Distorted-Wave Born Approximations.- 2. Implications of Assuming a Straight Line Trajectory.- 3. Spin Flip/Non-Hip Considerations.- 4. Derivation of the Cross-Section Formulae.- 5. Residual Interaction for RDWB (Prior) Approximation.- 6. Matrix Elements.- 7. Results and Conclusions.- 6. Relativistic Continuum Distorted Waves.- 1. Introduction to Relativistic Continuum Distorted Wave-Eikonal Initial State and (Post) Distorted Wave Born Approximations.- 2. RCDW Wavefunctions.- 3. Derivation of the Residual Interaction.- 4. Matrix Elements.- 5. Computational Details.- 6. Results and Conclusions.- 7. Processes Involving Pair Production.- 1. Introduction to Transitions Involving Electron-Positron Pair Production.- 2. CrossingSymmetries.- 3. Physics of Ionization and Pair Production Capture.- 4. Wavefunctions for Processes Involving Pair Production.- 5. Results and Conclusions.- 6. Antihydrogen Production.- Appendices.- A. Thomas Double Scattering.- B. RCDW Bethe-Integrals.- 1. Target Centred Integrals.- 2. Projectile Centred Integrals.- C. Eikonal Integrals.- 1. Target Centred Integrals.- 2. Projectile Centred Integrals.- D. The Relativistic Field-Free Propagator.- E. Asymptotic Formulae.- 1. Nonflip.- 2. Flip.- F. The Relativistic Impulse Approximation.- G. RDWB Matrix Elements.- H. Continuity Relation.- I. Matrix Element Checks.- References.