Nucleon Compton Effect at Low and Medium Energies: (41 The Lebedev Physics Institute Series)

Table of Contents:
Dispersion Relations for Elastic Scattering of ? Quanta by Nucleons.- I. Kinematics.- 1. Kinematic Relations.- 2. The Invariant Spin Structure of the Scattering Amplitude.- 3. The Scattering Amplitude in the Center-of-Mas s System.- 4. The Differential Cross Section.- II. Dispersion Relations Without Subtraction.- 1. Double Dispersion Relations Without Subtraction.- 2. Determination of the Boundaries of the Regions in Which the Spectral Functions Are Nonzero.- 3. One-Dimensional Dispersion Relations Without Subtraction.- 4. Convergence of the Expansion in Legendre Polynomials of the Imaginary Part of the Amplitude in the Dispersion Integral.- 5. The Single-Nucleon Pole.- 6. Poles Along t.- III. Dispersion Relations with One Subtraction.- 1. The Low-Energy Limit.- 2. The Necessity of Subtraction.- 3. Derivation of the Dispersion Relations with One Subtraction.- IV. The Imaginary Part of the Amplitude of ?-Quantum Scattering by Protons in Channel I.- 1. Imaginary Part of the Scattering Amplitude in Channel I with Retardation Neglected.- 2. The Retardation Term.- 3. Interference of the Retardation Term with M33.- 4. Analysis of Partial Waves on the Basis of Experimental Data on ?-Meson Photo production on Protons.- V. The Influence of Spin Structure on the Form of the Dispersion Relations for the Amplitudes Ti(s, u, t).- 1. Single Integrals in the Mandelstam Representation Without Subtraction.- 2. One-Dimensional Dispersion Relations with Respect to s and u with One Subtraction.- 3. The ?-? Interaction.- 4. Approximate One-Dimensional Dispersion Relations.- 5. Calculation of ?3i(m2,t) and F3i(s,t) in the Fourth Order of Perturbation Theory.- 6. Kinematic Singularities.- VI. Numerical Results.- Literature Cited.- Elastic Scattering of ? Quanta by Protons at Energies Above the ?0-Meson Photoproduction Threshold.- I. A Survey of Theoretical and Experimental Results on the Nucleon Compton Effect.- 1. Calculation of the Compton-Effect Cross Section.- 2. History of the Theoretical Investigations.- 3. History of the Experimental Investigations.- II. The Experimental Facility.- 1. Possibility of an Experimental Study of the Proton Compton Effect.- 2. Experimental Arrangement.- 3. Organization of the Experiments.- 4. Geometry of the Experiments.- 5. The Synchrotron.- 6. Brems Strahlung Spectrum with "Stretching".- 7. Measurement of the ?-Ray Intensity.- 8. Measurement of the Maximum Energy in the Spectrum.- 9. The Hydrogen Target.- 10. The Proton Telescope.- 11. y-Ray Detection.- 12. Efficiency of the Detection of p- ? Coincidences.- 13. Electronic Instrumentation.- 14. Adjustment of the Instrumentation.- III. The Calculation of the Reaction Cross Sections from the Measured Yields of Charged Products.- 1. Corrections for Particle Energy Losses in the Target and Multiple Scattering in the Telescope Filters.- 2. Calculation of Cross Sections from Yields by a Monte Carlo Method.- 3. Calculation of p- ? Coincidences.- IV. Experimental Results.- 1. Measurement Procedures.- 2. Statistical Processing of the Yields.- 3. Numerical Results.- 4. Combined Results of the 1960 and 1964 Measurements.- 5. Angular and Energy Resolutions.- 6. Accuracy of the Results.- 7. Approximation of the Angular Distributions.- 8. Total Compton-Effect Cross Section.- V. Discussion of the Results.- 1. Comparison with Other Experimental Results.- 2. Comparison of Theoretical and Experimental Data on Total Cross Sections. Ill.- 3. Comparison of Theoretical and Experimental Angular Distributions.- 4. Comparison of the Theoretical and Experimental Energy Distributions.- VI. Summary and Conclusions.- 1. Summary.- 2. Conclusions.- 3. Acknowledgments.- Appendix I. Results of Experimental Investigations of the Compton Effect for E? > 150 MeV.- Appendix 2. Results of Theoretical Investigations of the Compton Effect.- Appendix 3, Calculation of the Cross Section from the Yields.- Appendix 4. Correction of Particle Losses for Multiple Scattering in the Telescope Filters.- Appendix 5. Statistical Relations for Multichannel Instrumentation.- Appendix 6. Kinematic Relations for the Compton Effect.- Appendix 7. Range-Energy Relation for Protons in Various Media.- Literature Cited.- Polarized Targets.- Literature Cited.- "Two-Photon Interactions" of Elementary Particles at Low Energies.- I. The Scattering of ? Quanta by Particles with Spin 0 or 1/2.- 1. A Brief Literature Survey.- 2. Nonrelativistic Theory.- 3. Relativistic Theory.- 4. Comparison of Theory with Experimental Data. Possible Experiments on the Scattering of ? Quanta at Low Energies.- 5. An Estimate of the Magnetic Dipole Polarizabilities of ? and K Mesons (Resonance Model of ?-Quantum Absorption).- II. Neutron Scattering by the Coulomb Field of Nuclei.- 1. A Brief Literature Survey.- 2. The Nonrelativistic Theory of the Electromagnetic Scattering of Neutrons by Nuclei (The First Born Approximation).- 3. The Relativistic Theory of the Electromagnetic Scattering of Neutrons by Nuclei.- 4. Effects Due to the Polarization of the Electron-Positron Cloud Surrounding the Neutron in the Electric Field of a Nucleus.- III. Second-Order Structural Corrections to Atomic Energy Levels.- 1. The Influence of Electric Polarizability of Nuclei on the Shift in Atomic Energy Levels: The Closure and Adiabatic Approximations.- 2. The Calculation of the Correction to the Lamb-Shift Energy for the 2Si Level in Atomic and Mesic Deuterium Governed by Nuclear Polarizability Effects (Transitions into the Continuous Spectrum).- Appendices.- Appendix 1.- Appendix 2.- Appendix 3.- Appendix 4.- Literature Cited.