Advances in Nuclear Physics

1 Single-Particle Motion in Nucle.- 1. Introduction.- 2. The Phenomenological Shell-Model Potential.- 2.1. Single-Particle Wave Equation.- 2.2. Single-Particle Energies.- 3. Quasiparticle Excitations.- 3.1. Configuration Mixing.- 3.2. Single-Particle Excitations.- 3.3. Quasihole and Quasiparticle Excitations.- 3.4. Effect of the Continuum.- 3.5. Discussion.- 4. The Optical Model.- 4.1. Single-Particle Wave Equation.- 4.2. Phenomenological Optical-Model Potentials.- 4.3. Generalized Optical-Model Potentials.- 4.4. Discussion.- 5. Nuclear Matter.- 5.1. Momentum Distribution.- 5.2. Optical Model in Nuclear Matter.- 5.3. Single-Particle Green's Function.- 5.4. Spectral Functions.- 5.5. Lehmann Representation.- 5.6. Mass Operator.- 5.7. Quasiparticle Approximation.- 5.8. Effective Masses.- 5.9. Mean Removal Energy and Average Binding Energy.- 5.10. Perturbation Expansion.- 5.11. Dispersion Relations.- 5.12. Brueckner-Hartree-Fock Approximation.- 5.13. Second Order in the Reaction Matrix.- 5.14. Third Order in the Reaction Matrix.- 5.15. Hole-Line Expansion.- 5.16. Numerical Results.- 5.17. Discussion.- 6. Microscopic Theory of Single-Particle Properties.- 6.1. Introduction.- 6.2. Natural Orbitals.- 6.3. Maximum Overlap Orbitals.- 6.4. Overlap Functions.- 6.5. Green's Functions.- 6.6. Spectral Functions.- 6.7. Sum Rules.- 6.8. Noninteracting System.- 6.9. Mass Operator.- 6.10. Particle and Hole Green's Functions.- 6.11. Overlap Functions for Bound States.- 6.12. Overlap Functions for Scattering States.- 6.13. Analytical Properties.- 6.14. Perturbation Expansion.- 6.15. Bilinear Expansion.- 6.16. The Mean Field.- 6.17. Quasiparticle States.- 6.18. Sum Rules.- 6.19. Analysis of Experimental Data.- 6.20. Discussion.- 7. Construction of the Mean Field at Positive and Negative Energies.- 7.1. Microscopic Calculations.- 7.2. Practical Form of the Dispersion Relation.- 7.3. Parametrization of the Imaginary Part of the Mean Field.- 7.4. Dispersive Contribution to the Real Part.- 7.5. Hartree-Fock-Type Contribution.- 7.6. Comparison with Empirical Potentials and Experimental Cross Sections.- 7.7. Effective Mass.- 7.8. Single-Particle Energies.- 7.9. Practical Approximation for the Spectral Function.- 7.10. Valence Shells.- 7.11. Spectral Function of Bound Quasiparticle States.- 7.12. Quasibound States.- 7.13. Principal Quantum Numbers.- 7.14. Quasiparticle Widths.- 7.15. Average Effective Mass.- 7.16. Root-Mean-Square Radii.- 7.17. Occupation Probabilities.- 7.18. Summed Spectroscopic Strengths.- 7.19. A Sum Rule Limit?.- 7.20. Comparison with Related Previous Analyses.- 7.21. Influence of the High Energy Parametrization of the Imaginary Part.- 7.22. The Proton-208Pb System.- 7.23. Measurement of Spectroscopic Factors.- 7.24. Can Occupation Probabilities Be Measured?.- 7.25. Other Nuclei.- 7.26. Discussion.- 8. Overview.- References.