Nuclear Shell Theory

Content: 
Pure and Applied Physics
Page ii

Front Matter
Page iii

Copyright page
Page iv

Dedication
Page v

Preface
Page v

Introduction
Pages 1-9

Introduction to Single Particle Shell Model
Page 11

1 - Wave Functions in a Central Field
Pages 12-17

2 - Total Angular Momentum of Spin-½ Particles
Pages 18-24

3 - Transformation Properties of Spherical Harmonics
Pages 25-30

4 - Radial Functions and Their Properties
Pages 31-36

5 - Central Potentials in Frequent Use
Pages 37-41

6 - Degeneracies in a Central Field
Pages 42-44

7 - Spin-Orbit Interaction and Order of Single Nucleon Levels
Pages 45-47

8 - Centrifugal and Coulomb Barriers
Pages 48-51

9 - Magnetic Moments and Beta Decay
Pages 52-59

Introduction to Tensor Algebra. Two-Particle Systems
Pages 61-62

10 - Irreducible Tensors
Pages 63-70

11 - Tensor Fields
Pages 71-79

12 - Infinitesimal Rotations and Irreducible Tensors
Pages 80-94

13 - Vector Addition Coefficients
Pages 95-111

14 - Tensor Products. The Wigner-Eckart Theorem
Pages 112-127

15 - Racah Coefficients
Pages 128-142

16 - Multipole Expansion of the Electromagnetic Field
Pages 143-157

17 - Electromagnetic Transitions in Nuclei
Pages 158-169

18 - Two Interacting Particles in a Central Field
Pages 170-182

19 - Antisymmetric Wave Functions and Isospin
Pages 183-191

20 - The Two-Particle Interaction
Pages 192-207

21 - Tensor-Expansion of the Interaction
Pages 208-221

22 - Closed Shells. Particles and Holes
Pages 222-237

23 - Two Particles in the Harmonic Oscillator Potential
Pages 238-242

Introduction to Three- or More-Particle Systems
Pages 243-244

24 - The m-Scheme
Pages 245-260

25 - The Transformation from the m-Scheme to the J-Scheme
Pages 261-267

26 - Coefficients of Fractional Parentage
Pages 268-282

27 - Pairs of Particles Coupled to J = 0
Pages 283-300

28 - C.f.p. and Matrix Elements in the Seniority Scheme
Pages 301-331

29 - Average Interaction Energies in the Seniority Scheme
Pages 332-341

30 - Applications to Nuclear and Coulomb Energies
Pages 342-357

31 - Antisymmetric States in LS-Coupling
Pages 358-372

32 - The Group Theoretical Classification of States
Pages 373-397

33 - Many-Nucleon Wave Functions with Definite Isospin
Pages 398-413

34 - The Seniority Scheme in the Nuclear jn Configuration
Pages 414-433

35 - Coefficients of Fractional Parentage in the Seniority Scheme
Pages 434-450

36 - Average Energies of States with Given T, v, and t
Pages 451-469

37 - Nonequivalent Particles; Configuration Interaction
Pages 470-507

Appendix
Pages 509-568

Index
Pages 569-573