Nuclear Structure Theory

Nuclear Structure Theory

International Series of Monographs in Natural Philosophy

1st Edition - January 1, 1972

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  • Author: J. M. Irvine
  • eBook ISBN: 9781483186757

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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


    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

About the Author

J. M. Irvine

About the Editor

D. ter Haar

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