Nuclear Models

Nuclear Models is a thorough introduction to the most important concepts and methods in this field. It is for students of theoretical and experimental physics, and scientists needing a reference and exercise book for this subject. The book presents the necessary mathematical tools along with many examples and worked problems. Rather than the presentation of a large number of results, the emphasis is on a discussion of the physical ideas underlying the models and the mathematical techniques employed. Readers with a background in quantum mechanics will thus become acquainted with the necessary advanced methods from group theory and many-body physics. In addition to the standard collective and single-particle models, a number of current topics are discussed.

Table of Contents:
1. Introduction.- 1.1 Nuclear Structure Physics.- 1.2 The Basic Equation.- 1.3 Microscopic versus Collective Models.- 1.4 The Role of Symmetries.- 2. Symmetries.- 2.1 General Remarks.- 2.2 Translation.- 2.3 Rotation.- 2.4 Isospin.- 2.5 Parity.- 2.6 Time Reversal.- 3. Second Quantization.- 3.1 General Formalism.- 3.2 Representation of Operators.- 3.3 Evaluation of Matrix Element for Fermions.- 3.4 The Particle-Hole Picture.- 4. Group Theory in Nuclear Physics.- 4.1 Lie Groups and Lie Algebras.- 4.2 Group Chains.- 4.3 Lie Algebras in Second Quantization.- 5. Electromagnetic Moments and Transitions.- 5.1 Introduction.- 5.2 The Quantized Electromagnetic Field.- 5.3 Radiation Fields of Good Angular Momentum.- 5.4 Coupling of Radiation and Matter.- 6. Collective Models.- 6.1 Nuclear Matter.- 6.2 Nuclear Surface Deformations.- 6.3 Surface Vibrations.- 6.4 Rotating Nuclei.- 6.5 The Rotation-Vibration Model.- 6.6 ?-Unstable Nuclei.- 6.7 More General Collective Models for Surface Vibrations.- 6.8 The Interacting Boson Model.- 6.9 Giant Resonances.- 7. Microscopic Models.- 7.1 The Nucleon-Nucleon Interaction.- 7.2 The Hartree—Fock Approximation.- 7.3 Phenomenological Single-Particle Models.- 7.4 The Relativistic Mean-Field Model.- 7.5 Pairing.- 8. Interplay of Collective and Single-Particle Motion.- 8.1 The Core-plus-Particle Models.- 8.2 Collective Vibrations in Microscopic Models.- 9. Large-Amplitude Collective Motion.- 9.1 Introduction.- 9.2 The Macroscopic-Microscopic Method.- 9.3 Mass Parameters and the Cranking Model.- 9.4 Time-Dependent Hartree—Fock.- 9.5 The Generator-Coordinate Method.- 9.6 High-Spin States.- Appendix: Some Formulas from Angular-Momentum Theory.- References.