de-Shalit / Talmi / Massey Nuclear Shell Theory

1. Auflage 2013
ISBN: 978-1-4832-7579-6
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 584 Seiten, Web PDF

Nuclear Shell Theory is a comprehensive textbook dealing with modern methods of the nuclear shell model. This book deals with the mathematical theory of a system of Fermions in a central field. It is divided into three parts. Part I discusses the single particle shell model. The second part focuses on the tensor algebra, two-particle systems. The last part covers three or more particle systems. Chapters on wave functions in a central field, tensor fields, and the m-Scheme are also presented. Physicists, graduate students, and teachers of nuclear physics will find the book invaluable.

Autoren/Hrsg.

De-Shalit, Amos

Talmi, Igal

Massey, H. S. W.

Inhaltsverzeichnis

1;Front Cover;1
2;Nuclear Shell Theory;4
3;Copyright Page;5
4;Table of Contents;10
5;Dedication;6
6;PREFACE;8
7;INTRODUCTION;12
8;Part I: Single Particle Shell Model;22
8.1;Chapter 1. Wave Functions in a Central Field;23
8.2;Chapter 2. Total Angular Momentum of Spin-1/2 Particles;29
8.3;Chapter 3. Transformation Properties of Spherical Harmonics;36
8.4;Chapter 4. Radial Functions and Their Properties;42
8.5;Chapter 5. Central Potentials in Frequent Use;48
8.6;Chapter 6. Degeneracies in a Central Field;53
8.7;Chapter 7. Spin-Orbit Interaction and Order of Single Nucleón Levels;56
8.8;Chapter 8. Centrifugal and Coulomb Barriers;59
8.9;Chapter 9. Magnetic Moments and Beta Decay;63
9;Part II: Tensor Algebra. Two-Particle Systems;72
9.1;Chapter 10. Irreducible Tensors;74
9.2;Chapter 11. Tensor Fields;82
9.3;Chapter 12. Infinitesimal Rotations and Irreducible Tensors;91
9.4;Chapter 13. Vector Addition Coefficients;106
9.5;Chapter 14. Tensor Products. The Wigner-Eckart Theorem;123
9.6;Chapter 15. Racah Coefficients;139
9.7;Chapter 16. Multipole Expansion of the Electromagnetic Field;154
9.8;Chapter 17. Electromagnetic Transitions in Nuclei;169
9.9;Chapter 18. Two Interacting Particles in a Central Field;181
9.10;Chapter 19. Antisymmetric Wave Functions and Isospin;194
9.11;Chapter 20. The Two-Particle Interaction;203
9.12;Chapter 21. Tensor-Expansion of the Interaction;219
9.13;Chapter 22. Closed Shells. Particles and Holes;233
9.14;Chapter 23. Two Particles in the Harmonic Oscillator Potential;249
10;Part III: Three- or More-Particle Systems;254
10.1;Chapter 24. The m-Scheme;256
10.2;Chapter 25. The Transformation from the m-Scheme to the J-Scheme;272
10.3;Chapter 26. Coefficients of Fractional Parentage;279
10.4;Chapter 27. Pairs of Particles Coupled to / = 0;294
10.5;Chapter 28. C. f. p. and Matrix Elements in the Seniority Scheme;312
10.6;Chapter 29. Average Interaction Energies in the Seniority Scheme;343
10.7;Chapter 30. Applications to Nuclear and Coulomb Energies;353
10.8;Chapter 31. Antisymmetric States in LS-Coupling;369
10.9;Chapter 32. The Group Theoretical Classification of States;384
10.10;Chapter 33. Many-Nucleon Wave Functions with Definite Isospin;409
10.11;Chapter 34. The Seniority Scheme in the Nuclear jn Configuration;425
10.12;Chapter 35. Coefficients of Fractional Parentage in the Seniority Scheme;445
10.13;Chapter 36. Average Energies of States with Given T, v, and t;462
10.14;Chapter 37. Nonequivalent Particles; Configuration Interaction;481
11;APPENDIX;520
11.1;Central Field Single Particle Hamiltonian and Wave Functions;520
11.2;Spherical Harmonics;521
11.3;Coulomb Potential;522
11.4;Associated Laguerre Polynomials Lmk(x);522
11.5;Harmonic Oscillator;523
11.6;Single Nucleón States in the Nuclear Shell Model;523
11.7;Transformation Properties;523
11.8;Wave Functions of Particles with Spin 1/2;524
11.9;Lande Formula;524
11.10;Clebsch-Gordan Coefficients;525
11.11;Three-j Symbols;526
11.12;9j-Symbols;527
11.13;Racah Coefficients (6j-Symbols);528
11.14;Change of Coupling Transformations;529
11.15;Some Special Clebsch-Gordan Coefficients and 3j-Symbols;530
11.16;Some Special Racah and 9j Coefficients;531
11.17;Irreducible Tensors;531
11.18;Vector Spherical Harmonics;534
11.19;Electromagnetic Transitions and Moments;534
11.20;Matrix Elements of Interactions;536
11.21;Coefficients of Fractional Parentage for Identical Particles;539
11.22;Seniority Operator and Seniority Scheme;540
11.23;Matrix Elements in the Seniority Scheme;542
11.24;Average Interaction Energies;543
11.25;Wave Functions with Isotopic Spin;544
11.26;The Seniority Scheme;545
11.27;Particles in Nonequivalent Orbits;548
11.28;Configuration Interaction;550
11.29;Coefficients of Fractional Percentage;551
11.30;Energies in Terms of Slater Integrals for Wigner Force in LS-Coupling;561
11.31;Energies in Terms of Slater Integrals for Wigner and Majorana Forces in jj-Coupling;562
11.32;Slater Integrals Fk and Gk in Terms of Harmonic Oscillator Integrals I,;574
12;INDEX;580