Nuclear Reactions II: Theory / Kernreaktionen II: Theorie [Paperback]

Theory of Resonance Reactions and Allied Topics..- A. Introductory survey.- 1. Introductory survey.- B. Elementary viewpoints and the simpler models.- I. Resonances for central field scattering.- 2. Real energy treatment.- 3. Complex energy treatment.- 4. Partial extension to reactions.- II. Channels and scattering matrix.- 5. Formulation of method.- 6. Resonances by the method of complex energies.- 7. Specialization to one channel.- 8. Specialization to two channels.- III. Schematic model of many-channel reactions.- 9. General formulation.- 10. Expansion of schematic model reaction amplitude.- IV. Effect of ?-ray emission.- 11. Quantum treatment of radiation.- 12. The equivalent classical quantity.- 13. Calculation of ?? for dipole emission.- V. Many-particle features.- 14. The spherical shell model.- 15. Construction of Greens functions.- 16. General plan for applications of Greens functions.- 17. Greens functions for the many-dimensional separable case.- 18. Schematic illustrations by means of Greens functions.- 19. Correspondence principle connections.- 20. Connection with the Hamilton-Jacobi partial differential equation.- C. The Wigner development.- 21. Introductory remarks and an example.- 22. The ? matrix in the many-channel case.- 23. Time reversal requirements and relation of ?-matrix to scattering matrix.- 24. Reaction cross sections.- 25. Resonance forms.- 26. Parameters of the resonance formulas.- 27. Illustrations of level systems.- 28. The occurrence of G2 + F2 in single-level one-channel formulas.- 29. Role played by ?-matrix. Origin of factorization.- 30. Employment of different boundary conditions l6l.- 31. Closed channels. The reduced ?-matrix and connection with the scattering matrix.- 32. Resonance formulas in terms of the reduced ?-matrix.- 33. The sum rules.- 34. The Weisskopf approach to the second sum rule.- 35. The statistical ?-matrix.- 36. Comparison with experiment.- 37. Penetration factors.- 38. Direct measurements of strength functlƒ˝