Nuclear Structure Theory
International Series of Monographs in Natural Philosophy
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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.
Table of Contents
Preface
Introduction
Part I. Nuclear Phenomenology
Chapter 1. Elementary Particles
1.1 Leptons
1.2 Baryons
1.3 Bosons
Chapter 2. The Two-nucleon System
2.1 Scattering States
2.2 Bound States
2.3 The Nucleon-Nucleon Interaction
Chapter 3. Nuclear Masses and Charges
3.1 Mass Numbers and Charge Numbers
3.2 Binding Energies and Separation Energies
Chapter 4. Nuclear Shapes and Sizes
4.1 The Radius and Density of Spherical Nuclei
4.2 The Electrostatic Moments of Non-spherical Nuclei
4.3 Nuclear Spins and Magnetic Moments
Chapter 5. Nuclear Spectroscopy
5.1 Energy Level Diagrams
5.2 Nuclear Systematics
Par II. The Nuclear Many-Body Problem
Chapter 6. Perturbation Formalism
6.1 Introduction
6.2 Brueckner Ladder Sum
6.3 Goldstone Linked Cluster Expansion
6.4 The Energy-shell and Hole-Bubble Insertions
6.5 The Occupied-state Potential
6.6 Rearrangement and Convergence of the Perturbation Expansion
6.7 Three-body Clusters and the Unoccupied-state Potential
Chapter 7. Nuclear Matter and Approximate Reaction Matrices
7.1 Nuclear Matter
7.2 The Reference Spectrum Approximation
7.3 Approximate Reaction Matrices
Chapter 8. Ground States of Spherical Nuclei (Closed Shells)
8.1 Introduction
8.2 The Brueckner-Hartree-Fock Equations
8.3 Reaction Matrix Elements
8.4 The Shell-model Potential
Chapter 9. Open-shell Nuclei
9.1 Introduction
9.2 Nearly Closed Shells
9.3 Deformed Configurations
Chapter 10. Thomas-Fermi Theory
10.1 Introduction
10.2 Kinetic Energy
10.3 The Reaction Matrix
10.4 Variational Calculation
Chapter 11. Landau-Migdal Theory
11.1 Quasiparticles
11.2 The Quasiparticle Interaction
11.3 Quasiparticles in an External Field
11.4 Conclusion
Part III. Nuclear Models
Chapter 12. The Liquid-drop Model
12.1 Semi-empirical Mass Formula
12.2 Vibrational States
12.3 Rotational States
12.4 Nuclear Fission
Chapter 13. The Shell Model
13.1 Introduction
13.2 Configuration Mixing
13.3 Spurious Center-of-mass Motion
13.4 Double Closed-shell Nuclei
13.5 Nuclei with Two Valence Particles or Holes
13.6 The 0p- and 0f-shell Nuclei
13.7 More Complex Configurations
Chapter 14. Transitions and Moments
14.1 Electromagnetic Transition Probabilities
14.2 Electromagnetic Moments
14.3 Beta-decay
14.4 Alpha-decay
Chapter 15. Nuclear Correlations
15.1 Quasiparticles Revisited
15.2 The Particle-Hole RPA
15.3 Pairing Correlations
Chapter 16. Deformed Nuclei
16.1 Introduction
16.2 Moments of Inertia
16.3 TheNilsson Model
16.4 Generalized Deformed Schemes
Chapter 17. The Unified Model
17.1 Introduction
17.2 Configuration Mixing
17.3 Conclusion
Part IV. The Technology of Nuclear Structure Theory
Chapter 18. Occupation Number Representation and Graphology
18.1 Occupation Number Representation
18.2 Quasiparticles
18.3 Propagators and the Goldstone Graphs
18.4 Rajaraman Graphs
Chapter 19. Single Particle Wave Equations
19.1 Schrodinger Equation
19.2 Radial Eigenfunctions
19.3 Special Radial Functions
19.4 Relativistic Wave Equations
19.5 Two-component Neutrino Theory
Chapter 20. Angular Momentum
20.1 Single Particle Angular Momentum
20.2 Addition of Two Angular Momenta
20.3 Coupling of Three Angular Momenta
20.4 Coupling of Four Angular Momenta
20.5 Coefficients of Fractional Parentage (CFP)
20.6 Angular Momentum and the Occupation Number Representation
20.7 Angular Momentum Projection Operators
Chapter 21. Two-body Matrix Elements
21.1 Introduction
21.2 Slater Integrals
21.3 Talmi Integrals
Chapter 22. Applications of Group Theory to Nuclear Structure
22.1 Formalism and Definitions
22.2 Angular Momentum and the Rotation Groups
22.3 Spin and Isospin; the Groups SU2 and SU4
22.4 Elliott Model, Quarks, and SU3
22.5 ln and jn Configurations: The Symplectic and Permutation Groups
22.6 Pairing Interactions and Quasispins
Chapter 23. Scattering Theory
23.1 Introduction
23.2 Partial Wave Expansion
23.3 Low Energy Limits
23.4 PWBA and DWBA
Physical Constants and Conversion Factors
Further Reading
Name Index
Subject Index
Product details
- No. of pages: 494
- Language: English
- Copyright: © Pergamon 1972
- Published: January 1, 1972
- Imprint: Pergamon
- eBook ISBN: 9781483186757