A Unified Theory of the Nucleus
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 Including Inelastic and Rearrangement Processes -- 9.5. Mutual Influence of Resonance Levels in Inelastic and Rearrangement Processes -- 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 -- 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 Level Width -- 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 -- 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.