Nuclear Reactions II: Theory / Kernreaktionen II: Theorie

Inhalt

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 Green's functions.- 16. General plan for applications of Green's functions.- 17. Green's functions for the many-dimensional separable case.- 18. Schematic illustrations by means of Green's 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 function.- 39. One-level formula for two channels with application to H3 (d, n) He4 and He3(d, p) He4.- D. Phenomenologic treatments and applications.- 40. The optical model.- 41. The giant resonance interpretation of the potential well representation.- 42. Cross sections near thresholds.- 43. Angular distributions of reaction products.- 44. High-energy deuteron stripping and electric disintegration of the deuteron.- 45. General theory of pick-up and stripping.- 46. Mathematical transformations for preceding section.- 47. Theory of alpha-particle decay and lower limit of energy variation of phase shifts.- 48. Heavy particle reactions.- Acknowledgment.- References.- Coulomb Wave Functions..- A. Fundamental properties and relations.- 1. Introduction.- 2. Normalization and asymptotic forms of the Coulomb wave functions.- 3. Power series expansions for FL and GL.- 4. Integral representations.- 5. Recurrence relations.- B. Bessel function expansions.- 6. Expansion for FL (?) useful for low energies.- 7. Expansion for GL (?) useful for low positive energies.- 8. Asymptotic expansion of GL (?) useful for low positive energies.- 9. Expansions for large ?, E< 0.- 10. Expansions for Fl(?), Gl(?) for small ?.- 11. Expansion of the regular solution for small ?.- C. Asymptotic forms and expansions.- 12. The phase and amplitude functions.- 13. Asymptotic expressions, any ?.- 14. Asymptotic expressions and expansions useful near the classical turning point.- D. Approximate expressions.- 15. Introduction.- 16. The JWKB approximation.- 17. Extensions of the JWKB method.- 18. Steepest descents approximation.- E. Methods of calculation.- 19. Introduction.- 20. Numerical integration.- 21. Riccati equation.- 22. Calculation of the irregular function by quadrature.- 23. Miscellaneous formulas.- F. Tables of Coulomb functions.- 24. List and description of tables.- Polarization of Nucleons Scattered by Nuclei..- 1. Introduction.- 2. Basic relations.- 3. Polarization of particles with spin scattered by spinless target.- 4. Polarization produced in scattering from complex potential well.- References.- Coulomb Excitation..- 1. Introduction.- 2. Correspondence principle considerations.- 3. Semi-classical first-order theory.- 4. Quantum-mechanical first-order theory.- 5. Radial matrix elements.- 6. Dipole excitation.- 7. Comparison of quantum and semi-classical theories.- 8. Higher order effects.- 9. Limitations of the theory.- References.- Sachverzeichnis (Deutsch/Englisch).- Subject Index (English/German).