Simple Models of Complex Nuclei de Igal Talmi

Simple Models of Complex Nuclei: Contemporary Concepts in Physics

Igal Talmi

applications to the structure of atomic nuclei. The author systematically develops these models from the elementary level, through an introduction to tensor algebra, to the use of group theory in spectroscopy. The book's extensive and detailed appendix includes a large selection of useful formulae of tensor algebra and spectroscopy. The serious graduate student, as well as the professional physicist, will find this complete treatment of the shell model to be an invaluable addition to the literature.

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Cuprins

1. Introduction-Effective Interactions2. Historical Survey3. Single Particle in a Central Potential Well4. Harmonic Oscillator Potential5. Transformation Under Rotations6. Infinitesimal Rotations and Angular Momentum7. Coupling of Angular Momenta. 3j-Symbols8. The Wigner-Eckart Theorem9. Two Nucleon Wave Functions. 9j-Symbols10. Matrix Elements of Two Nucleon Interactions. 6j-Symbols11. Short Range Potentials - The d-Interaction12. The Pairing Interaction and the Surface Delta Interaction 13. Two Nucleons in a Harmonic Oscillator Potential Well 14. Determinantal Many Nucleon Wave Functions15. Nucleons in the same Orbit. Coefficients of Fractional Parentage16. Examples of Effective Interactions in Nuclei and Atoms17. Second Quantization. Single Nucleon and Two-Body Operators18. Two Nucleon Operators. Particle Hole Interactions19. Nucleon Pairing and Seniority20. Hamiltonians Which are Diagonal in the Seniority Scheme21. Examples of jn Configurations in Nuclei22. The Quasi-Spin Scheme23. Generalized Seniority. Ground States of Semi-Magic Nuclei24. Generalized Seniority. Other States of Semi-Magic Nuclei25. Seniority and the Sp(2j + 1) Group26. Seniority with Isospin. The U(2(2j + 1) Group and Subgroups27. Applications of Seniority with Isospin. Symmetry Energy28. Seniority in ln Configurations with T = n/2. The O(2l + 1) Group29. LS-Coupling of Protons and Neutrons. The SU(4) Scheme30. Special Proton Neutron Mixed Configurations. The SU(3) Scheme31. Valence Protons and Neutrons in Different Orbits32. Configuration Mixing. Effective Operators33. The Interacting Boson. (IBA-1)34. The U(5) Scheme - The Vibrational Limit35. The O(6) Limit. O(5) Symmetry36. The SU(3) Dynamical Symmetry - Rotational

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