Nuclear Structure Theory (eBook)

International Series of Monographs in Natural Philosophy

J. M. Irvine (Autor)

D. ter Haar (Herausgeber)

eBook Download: PDF

2017 | 1. Auflage
494 Seiten
Elsevier Science (Verlag)
9781483186757 (ISBN)

Infos

Nuclear Structure Theory provides a guide to nuclear structure theory. The book is comprised of 23 chapters that are organized into four parts; each part covers an aspect of nuclear structure theory. In the first part, the text discusses the experimentally observed phenomena, which nuclear structure theories need to look into and detail the information that supports those theories. The second part of the book deals with the phenomenological nucleon-nucleon potentials derived from phase shift analysis of nucleon-nucleon scattering. Part III talks about the phenomenological parameters used to describe their various nuclear models. The last part of the book deals with the technology of nuclear structure theory. The book will be of great use to nuclear physicists who wish to gain a better understanding of the nuclear structure theory.

Inhalt

Front Cover 1
Nuclear Structure Theory 4
Copyright Page 5
Table of Contents 6
PREFACE 10
INTRODUCTION 12
PART I: NUCLEAR PHENOMENOLOGY 16
Chapter 1. Elementary Particles 18
1.1 Leptons 18
1.2 Baryons 21
1.3 Bosons 23
References 28
Chapter 2. The Two-nucleon System 29
2.1 Scattering States 29
2.2 Bound States 32
2.3 The Nucleon–Nucleon Interaction 34
References 43
Chapter 3. Nuclear Masses and Charges 44
3.1 Mass Numbers and Charge Numbers 44
3.2 Binding Energies and Separation Energies 46
References 52
Chapter 4. Nuclear Shapes and Sizes 60
4.1 The Radius and Density of Spherical Nuclei 60
4.2 The Electrostatic Moments of Non-spherical Nuclei 67
4.3 Nuclear Spins and Magnetic Moments 69
References 76
Chapter 5. Nuclear Spectroscopy 77
5.1 Energy Level Diagrams 77
5.2 Nuclear Systematics 133
References 141
PART II: THE NUCLEAR MANY-BODY PROBLEM 142
Chapter 6. Perturbation Formalism 144
6.1 Introduction 144
6.2 Brueckner Ladder Sum 147
6.3 Goldstone Linked Cluster Expansion 150
6.4 The Energy-shell and Hole–Bubble Insertions 153
6.5 The Occupied-state Potential 155
6.6 Rearrangement and Convergence of the Perturbation Expansion 156
6.7 Three-body Clusters and the Unoccupied-state Potential 158
Problems 164
References 164
Chapter 7. Nuclear Matter and Approximate Reaction Matrices 165
7.1 Nuclear Matter 165
7.2 The Reference Spectrum Approximation 167
7.3 Approximate Reaction Matrices 173
Problems 177
References 177
Chapter 8. Ground States of Spherical Nuclei (Closed Shells) 178
8.1 Introduction 178
8.2 The Brueckner–Hartree–Fock Equations 180
8.3 Reaction Matrix Elements 184
8.4 The Shell-model Potential 203
Problems 210
References 210
Chapter 9. Open-Shell Nuclei 211
9.1 Introduction 211
9.2 Nearly Closed Shells 212
9.3 Deformed Configurations 215
Problems 217
References 217
Chapter 10. Thomas–Fermi Theory 218
10.1 Introduction 218
10.2 Kinetic Energy 218
10.3 The Reaction Matrix 219
10.4 Variational Calculation 221
Problems 222
References 222
Chapter 11. Landau-Migdal Theory 223
11.1 Quasiparticles 223
11.2 The Quasiparticle Interaction 225
11.3 Quasiparticles in an External Field 227
11.4 Conclusion 229
Problems 230
References 230
PART III: NUCLEAR MODELS 232
Chapter 12. The Liquid-Drop Model 234
12.1 Semi-empirical Mass Formula 234
12.2 Vibrational States 239
12.3 Rotational States 243
12.4 Nuclear Fission 249
Problems 254
References 254
Chapter 13. The Shell Model 255
13.1 Introduction 255
13.2 Configuration Mixing 260
13.3 Spurious Centre-of-mass Motion 276
13.4 Double Closed-shell Nuclei 278
13.5 Nuclei with Two Valence Particles or Holes 284
13.6 The Op- and Of-shell Nuclei 286
13.7 More Complex Configurations 290
Problems 292
References 293
Chapter 14. Transitions And Moments 294
14.1 Electromagnetic Transition Probabilities 294
14.2 Electromagnetic Moments 298
14.3 Beta-decay 300
14.4 Alpha-decay 307
Problems 310
References 310
Chapter 15. Nuclear Correlations 312
15.1 Quasiparticles Revisited 312
15.2 The Particle-Hole RPA 313
15.3 Pairing Correlations 319
Problems 326
References 326
Chapter 16. Deformed Nuclei 327
16.1 Introduction 327
16.2 Moments of Inertia 327
16.3 The Nilsson Model 330
16.4 Generalized Deformed Schemes 374
Problems 376
References 376
Chapter 17. The Unified Model 377
17.1 Introduction 377
17.2 Configuration Mixing 380
17.3 Conclusion 385
References 386
PART IV: THE TECHNOLOGY OF NUCLEAR STRUCTURE THEORY 388
Chapter 18. Occupation Number Representation and Graphology 390
18.1 Occupation Number Representation 390
18.2 Quasiparticles 395
18.3 Propagators and the Goldstone Graphs 398
18.4 Rajaraman Graphs 402
References 405
Chapter 19. Single Particle Wave Equations 406
19.1 Schr.dinger Equation 406
19.2 Radial Eigenfunctions 408
19.3 Special Radial Functions 410
19.4 Relativistic Wave Equations 413
19.5 Two-component Neutrino Theory 416
References 417
Chapter 20. Angular Momentum 418
20.1 Single Particle Angular Momentum 418
20.2 Addition of Two Angular Momenta 422
20.3 Coupling of Three Angular Momenta 429
20.4 Coupling of Four Angular Momenta 432
20.5 Coefficientsof Fractional Parentage (CFP) 434
20.6 Angular Momentum and the Occupation Number Representation 440
20.7 Angular Momentum Projection Operators 441
References 443
Chapter 21. Two-Body Matrix Elements 444
21.1 Introduction 444
21.2 Slater Integrals 445
21.3 Talmi Integrals 447
References 452
Chapter 22. Applications of Group Theory to Nuclear Structure 453
22.1 Formalism and Definitions 453
22.2 Angular Momentum and the Rotation Groups 456
22.3 Spin and Isospin the Groups SU2 and SU4
22.4 Elliott Model, Quarks, and SU3 460
22.5 In and i" Configurations: the Symplectic and Permutation Groups 464
22.6 Pairing Interactions and Quasispins 468
References 474
Chapter 23. Scattering Theory 475
23.1 Introduction 475
23.2 Partial Wave Expansion 478
23.3 Low Energy Limits 480
23.4 PWBA and DWBA 481
References 483
PHYSICAL CONSTANTS AND CONVERSION FACTORS 484
FURTHER READING 485
NAME INDEX 488
SUBJECT INDEX 492

Produkt-Details

• Erscheint lt. Verlag: 31.1.2017
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
• Themenwelt: Sozialwissenschaften ► Ethnologie
• Themenwelt: Sozialwissenschaften ► Politik / Verwaltung
• Themenwelt: Sozialwissenschaften ► Soziologie
• ISBN-13: 9781483186757 / 9781483186757