Simple Models of Complex Nuclei

1.Introduction-Effective Interactions 2.Historical Survey 3.Single Particle in a Central Potential Well 4.Harmonic Oscillator Potential 5.Transformation Under Rotations 6.Infinitesimal Rotations and Angular Momentum 7.Coupling of Angular Momenta. 3j-Symbols 8.The Wigner-Eckart Theorem 9.Two Nucleon Wave Functions. 9j-Symbols 10.Matrix Elements of Two Nucleon Interactions. 6j-Symbols 11.Short Range Potentials - The d-Interaction 12.The Pairing Interaction and the Surface Delta Interaction 13.Two Nucleons in a Harmonic Oscillator Potential Well 14.Determinantal Many Nucleon Wave Functions 15.Nucleons in the same Orbit. Coefficients of Fractional Parentage 16.Examples of Effective Interactions in Nuclei and Atoms 17.Second Quantization. Single Nucleon and Two-Body Operators 18.Two Nucleon Operators. Particle Hole Interactions 19.Nucleon Pairing and Seniority 20.Hamiltonians Which are Diagonal in the Seniority Scheme 21.Examples of jn Configurations in Nuclei 22.The Quasi-Spin Scheme 23.Generalized Seniority. Ground States of Semi-Magic Nuclei 24.Generalized Seniority. Other States of Semi-Magic Nuclei 25.Seniority and the Sp(2j + 1) Group 26.Seniority with Isospin. The U(2(2j + 1) Group and Subgroups 27.Applications of Seniority with Isospin. Symmetry Energy 28.Seniority in ln Configurations with T = n/2. The O(2l + 1) Group 29.LS-Coupling of Protons and Neutrons. The SU(4) Scheme 30.Special Proton Neutron Mixed Configurations. The SU(3) Scheme 31.Valence Protons and Neutrons in Different Orbits 32.Configuration Mixing. Effective Operators 33.The Interacting Boson. (IBA-1) 34.The U(5) Scheme - The Vibrational Limit 35.The O(6) Limit. O(5) Symmetry 36.The SU(3) Dynamical Symmetry - Rotational Spectra 37.Mapping States of Identical Fermions onto Boson States 38.Valence Protons and Neutrons. The S-D Space 39.The Proton Neutron Interacting Boson Model (IBA-2) 40.Simple IBA-2 Hamiltonians. Some Applications 41.Particles Coupled to a Rotating Core Appendix Bibliography Index