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Discusses the shell model and the interacting Boson model and their applications to the structure of atomic nuclei. The author systematically develops these models from an elementary level, through an introduction to tensor algebra, to the use of group theory in spectroscopy.
List of contents
Preface to the Series, Preface, 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. 2>j-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 o-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 p 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. Appiications of Seniority with isospin Symmetry Energy, 28. Seniority in Configurations with T = n/2. The 0(21 + 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 Model (IBA-1), 34. The U(5) Scheme-The Vibrational Limit, 35. The 0(6) Limit 0(5) Symmetry, 36. The SU(3) Dynamicai Symmetry-Rotationai 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
About the author
Igal Talmi
Summary
Discusses the shell model and the interacting Boson model and their applications to the structure of atomic nuclei. The author systematically develops these models from an elementary level, through an introduction to tensor algebra, to the use of group theory in spectroscopy.
