1st Edition

Simple Models of Complex Nuclei

By Igal Talmi Copyright 1993
    1094 Pages
    by CRC Press

    1094 Pages
    by CRC Press

    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.

    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

    Biography

    Igal Talmi