Advances in Nuclear Physics
Volume 1
Published on 6. December 2012
XIV, 418 pages
978-1-4757-0103-6 (ISBN)
Description
The aim of Advances in Nuclear Physics is to provide review papers which chart the field of nuclear physics with some regularity and completeness. We define the field of nuclear physics as that which deals with the structure and behavior of atomic nuclei. Although many good books and reviews on nuclear physics are available, none attempts to provide a coverage which is at the same time continuing and reasonably complete. Many people have felt the need for a new series to fill this gap and this is the ambition of Advances in Nuclear Physics. The articles will be aimed at a wide audience, from research students to active research workers. The selection of topics and their treatment will be varied but the basic viewpoint will be pedagogical. In the past two decades the field of nuclear physics has achieved its own identity, occupying a central position between elementary particle physics on one side and atomic and solid state physics on the other. Nuclear physics is remarkable both by its unity, which it derives from its concise boundaries, and by its amazing diversity, which stems from the multiplicity of experimental approaches and from the complexity of the nucleon-nucleon force. Physicists specializing in one aspect of this strongly unified, yet very complex, field find it imperative to stay well-informed of the other aspects. This provides a strong motivation for a comprehensive series of reviews.
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Content
1 The Reorientation Effect.- 1. Introduction.- 2. Classical Estimates of Effects.- 3. Theory of Coulomb Excitation.- 4. Theory of the Reorientation Effect.- 5. Excitation via the Giant Dipole Resonance.- 6. Experimental Methods.- 7. Reorientation Experiments.- Acknowledgments.- Appendix I. Numerical Expressions.- Appendix II. Tables of Orbital Integrals.- Appendix III. Approximate Formula for the Reorientation Effect.- References.- 2 The Nuclear SU3 Model.- 1. Introduction.- 2. Basic Shell Model.- 3. Symmetry of Oscillator Quanta - The Groups U3 and SU3.- 4. The Effective Interaction.- 5. Application of the SU3-Coupling Scheme to Light Nuclei.- 6. Summary and Developments.- Acknowledgments.- References.- Appendix A. Harmonic Oscillator.- Appendix B. Use of Groups in Quantum Mechanics.- Appendix C. The Symmetric and Unitary Groups.- Appendix D. Generating Operators of Us.- Appendix E. Classification According to SU3 without the Harmonic Oscillator.- Appendix F. Raising and Lowering Operators of the Group SU3.- Appendix G. Calculation of Matrix Elements.- Appendix H. The Normalization Coefficients and Overlaps.- Appendix I. Use of the Group SU3 in the Classification of Elementary Particles.- 3 The Hartree-Fock Theory of Deformed Light Nuclei.- 1. Introduction.- 2. The Hartree-Fock Equations.- 3. Symmetries of the Hartree-Fock Hamiltonian.- 4. The Choice of an Expansion for the Orbits.- 5. Single Major Shell Hartree-Fock Calculations.- 6. Solutions of the Single Major-Shell Hartree-Fock Calculations for Even-Even N = Z Nuclei.- 7. Deformed Excited Equilibrium States of Spherical Nuclei.- 8. A Soluble Model-The Effect of the Exchange Components of the Interaction.- 9. The Deformation of the Hartree-Fock Field-The Quadrupole-Quadrupole Interaction.- 10. The Effect ofthe Spin-Orbit Splitting.- 11. The Multiplicity of Hartree-Fock Solutions.- 12. Hartree-Fock Solutions of Other Nuclei.- 13. Magnetic Moments of Odd-A Nuclei.- 14. Angular Momentum Projection.- 15. Major-Shell-Mixing Hartree-Fock Calculations-Quadrupole Polarization of Closed Shells.- 16. Conclusion.- Acknowledgments.- References.- 4 The Statistical Theory of Nuclear Reactions.- 1. Introduction.- 2. The Model for Average Cross Sections.- 3. Application of the Evaporation Model.- 4. Basis of the Evaporation Model in Reaction Theory.- 5. Conclusions.- Acknowledgments.- Appendix A. Absorption Cross Section of a Complex Square Well.- Appendix B. Effect of Finite Averaging Interval.- References.- 5 Three-Particle Scattering-A Review of Recent Work on the Nonrelativistic Theory.- 1. Introduction.- 2. The Amado Model.- 3. The Faddeév Equations.- 4. Application of the Faddeév Equations.- 5. Concluding Remarks.- Acknowledgments.- References.- Appendix A.- Appendix B.- Appendix C.- Appendix D.- Appendix E.
