Nuclear Structure Theory

PrefaceIntroductionPart I. Nuclear Phenomenology Chapter 1. Elementary Particles 1.1 Leptons 1.2 Baryons 1.3 Bosons Chapter 2. The Two-nucleon System 2.1 Scattering States 2.2 Bound States 2.3 The Nucleon-Nucleon Interaction Chapter 3. Nuclear Masses and Charges 3.1 Mass Numbers and Charge Numbers 3.2 Binding Energies and Separation Energies Chapter 4. Nuclear Shapes and Sizes 4.1 The Radius and Density of Spherical Nuclei 4.2 The Electrostatic Moments of Non-spherical Nuclei 4.3 Nuclear Spins and Magnetic Moments Chapter 5. Nuclear Spectroscopy 5.1 Energy Level Diagrams 5.2 Nuclear SystematicsPar II. The Nuclear Many-Body Problem Chapter 6. Perturbation Formalism 6.1 Introduction 6.2 Brueckner Ladder Sum 6.3 Goldstone Linked Cluster Expansion 6.4 The Energy-shell and Hole-Bubble Insertions 6.5 The Occupied-state Potential 6.6 Rearrangement and Convergence of the Perturbation Expansion 6.7 Three-body Clusters and the Unoccupied-state Potential Chapter 7. Nuclear Matter and Approximate Reaction Matrices 7.1 Nuclear Matter 7.2 The Reference Spectrum Approximation 7.3 Approximate Reaction Matrices Chapter 8. Ground States of Spherical Nuclei (Closed Shells) 8.1 Introduction 8.2 The Brueckner-Hartree-Fock Equations 8.3 Reaction Matrix Elements 8.4 The Shell-model Potential Chapter 9. Open-shell Nuclei 9.1 Introduction 9.2 Nearly Closed Shells 9.3 Deformed Configurations Chapter 10. Thomas-Fermi Theory 10.1 Introduction 10.2 Kinetic Energy 10.3 The Reaction Matrix 10.4 Variational Calculation Chapter 11. Landau-Migdal Theory 11.1 Quasiparticles 11.2 The Quasiparticle Interaction 11.3 Quasiparticles in an External Field 11.4 ConclusionPart III. Nuclear Models Chapter 12. The Liquid-drop Model 12.1 Semi-empirical Mass Formula 12.2 Vibrational States 12.3 Rotational States 12.4 Nuclear Fission Chapter 13. The Shell Model 13.1 Introduction 13.2 Configuration Mixing 13.3 Spurious Center-of-mass Motion 13.4 Double Closed-shell Nuclei 13.5 Nuclei with Two Valence Particles or Holes 13.6 The 0p- and 0f-shell Nuclei 13.7 More Complex Configurations Chapter 14. Transitions and Moments 14.1 Electromagnetic Transition Probabilities 14.2 Electromagnetic Moments 14.3 Beta-decay 14.4 Alpha-decay Chapter 15. Nuclear Correlations 15.1 Quasiparticles Revisited 15.2 The Particle-Hole RPA 15.3 Pairing Correlations Chapter 16. Deformed Nuclei 16.1 Introduction 16.2 Moments of Inertia 16.3 TheNilsson Model 16.4 Generalized Deformed Schemes Chapter 17. The Unified Model 17.1 Introduction 17.2 Configuration Mixing 17.3 ConclusionPart IV. The Technology of Nuclear Structure Theory Chapter 18. Occupation Number Representation and Graphology 18.1 Occupation Number Representation 18.2 Quasiparticles 18.3 Propagators and the Goldstone Graphs 18.4 Rajaraman Graphs Chapter 19. Single Particle Wave Equations 19.1 Schrodinger Equation 19.2 Radial Eigenfunctions 19.3 Special Radial Functions 19.4 Relativistic Wave Equations 19.5 Two-component Neutrino Theory Chapter 20. Angular Momentum 20.1 Single Particle Angular Momentum 20.2 Addition of Two Angular Momenta 20.3 Coupling of Three Angular Momenta 20.4 Coupling of Four Angular Momenta 20.5 Coefficients of Fractional Parentage (CFP) 20.6 Angular Momentum and the Occupation Number Representation 20.7 Angular Momentum Projection Operators Chapter 21. Two-body Matrix Elements 21.1 Introduction 21.2 Slater Integrals 21.3 Talmi Integrals Chapter 22. Applications of Group Theory to Nuclear Structure 22.1 Formalism and Definitions 22.2 Angular Momentum and the Rotation Groups 22.3 Spin and Isospin; the Groups SU2 and SU4 22.4 Elliott Model, Quarks, and SU3 22.5 ln and jn Configurations: The Symplectic and Permutation Groups 22.6 Pairing Interactions and Quasispins Chapter 23. Scattering Theory 23.1 Introduction 23.2 Partial Wave Expansion 23.3 Low Energy Limits 23.4 PWBA and DWBAPhysical Constants and Conversion FactorsFurther ReadingName IndexSubject Index