A Unified Theory of the Nucleus

Bibliographic Details
Main Author: Wildermuth, Karl
Format: eBook
Language:German
Published: Wiesbaden Vieweg+Teubner Verlag 1977, 1977
Edition:1st ed. 1977
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 9.6. Behaviour of the Partial Level Width Near a Threshold and Energy-Dependent Width Approximation
  • 10. Resonance Reactions and Isobaric-Spin Mixing
  • 10.1. General Remarks
  • 10.2. Isobaric-Spin Mixing in the Compound Region
  • 10.3. Isobaric-Spin Mixing in the Incoming Channel
  • 11. Optical-Model Potentials for Composite Particles
  • 11.1. General Remarks
  • 11.2. Optical-Model Description of Elastic-Scattering Processes
  • 11.3. Specific Examples
  • 11.4. Features of Effective Local Potentials between Nuclei
  • 12. Direct Reactions
  • 12.1. General Remarks
  • 12.2. Derivation of the General Formulae
  • 12.3. Specific Examples
  • 12.4. Influence of the Pauli Principle on Direct-Reactions
  • 12.5. Concluding Remarks
  • 13. Some Considerations About Heavy-Ion Transfer Reactions
  • 13.1. General Remarks
  • 13.2. Specific Examples to Study the Influence of Antisymmetrization
  • 13.3. Further Discussion of the Odd-Even Feature in the Effective Potential between Nuclei
  • 1. Introduction
  • 1.1. General Remarks
  • 1.2. Difficulties of Some Reaction Theories
  • 2. Reformulation of the Schrödinger Equation
  • 3. Discussion of the Basis Wave Functions for Nuclear Systems
  • 3.1. General Remarks
  • 3.2. Qualitative Discussion of Cluster Correlations
  • 3.3. Construction of Oscillator Cluster Wave Functions
  • 3.4. Discussion of 8Be as an Illustrative Example
  • 3.5. Effects of Antisymmetrization
  • 3.6. Applications of Oscillator Cluster Representations to a Qualitative Description of Low-Lying Levels in Light Nuclei
  • 3.7. Construction of Generalized Cluster Wave Functions
  • 4. Formulation of a Unified Microscopic Nuclear Structure and Reaction Theory
  • 4.1. General Remarks
  • 4.2. Specific Examples
  • 4.3. Extension to General Systems
  • 5. Bound-State Calculations
  • 5.1. General Remarks
  • 5.2. Calculation of Matrix Elements
  • 5.3. Ground and Low Excited States of 6Li
  • 5.4. Low-Energy T = 0 States of 12C
  • 5.5. Low-Lying Levels of 7Be
  • 5.6. Concluding Remarks
  • 6. Further Comments About the Pauli Principle
  • 6.1. General Remarks
  • 6.2. Cluster Overlapping and Pauli Principle
  • 6.3. Energetical Favouring of a Cluster Inside a Large Nucleus
  • 7. Scattering and Reaction Calculations
  • 7.1. General Remarks
  • 7.2. Derivation of Coupled Equations
  • 7.3. Quantitative Results
  • 7.4. Concluding Remarks
  • 8. Introductory Considerations About the Derivation of General Nuclear Properties
  • 8.1. General Remarks
  • 8.2. Introduction of Effective Hamiltonians
  • 8.3. Elimination of Linear Dependencies
  • 8.4. Concluding Remarks
  • 9. Breit-Wigner Resonance Formulae
  • 9.1. General Remarks
  • 9.2. Single-Level Resonance Formula for Pure Elastic-Scattering
  • 9.3. Many-Level Resonance Formula for Pure Elastic-Scattering
  • 9.4. Single-Level Resonance Formula IncludingInelastic and Rearrangement Processes
  • 9.5. Mutual Influence of Resonance Levels in Inelastic and Rearrangement Processes
  • 16.4. Level Spectra of Neighbouring Nuclei
  • 16.5. Optical Resonances in Nuclear Reactions
  • 17. Nuclear Fission
  • 17.1. General Remarks
  • 17.2. Substructure Effects in Fission Processes
  • 17.3. Mass Distribution of Fission Fragments
  • 17.4. Deformation Energy of Fissioning Nucleus
  • 18. Conclusion
  • Appendix A — Cluster Hamiltonians and Jacobi Coordinates
  • Appendix B — Designation of Oscillator States
  • Appendix C — Demonstration of the Projection Technique
  • Appendix D — Connection with Conventional Direct-Reaction Theory
  • References
  • 13.4. Concluding Remarks
  • 14. Collective States
  • 14.1. General Remarks
  • 14.2. Rotational States of Even-Even Nuclei with K = 0
  • 14.3. Generalization of Rotational Wave Functions
  • 14.4. Energetical Preference of Rotational Configurations
  • 14.5. Electromagnetic Transitions between Rotational Levels
  • 14.6. Relationship with other Descriptions of Nuclear Rotational States
  • 14.7. Construction of Intrinsic Wave Functions for Quantitative Studies of Collective States in Medium-Heavy and Heavy Nuclei
  • 14.8. Specific Examples
  • 14.9. Concluding Remarks
  • 15. Brief Discussion of Time-Dependent Problems
  • 15.1. General Remarks
  • 15.2. Connection between the Lifetime of a Compound State and Its LevelWidth
  • 15.3. Time-Dependent Projection Equation with Time-Dependent Interaction
  • 16. Qualitative Considerations of Some Nuclear Problems
  • 16.1. General Remarks
  • 16.2. Coulomb-Energy Effects in Mirror Levels
  • 16.3. Reduced Widths and ?-Transition Probabilities