Group theory and the interaction of composite nucleon systems
Author(s)
Bibliographic Information
Group theory and the interaction of composite nucleon systems
（Clustering phenomena in nuclei, v. 2）
Vieweg, 1981
Available at 17 libraries
Note
Bibliography: p. 215-220
Includes index
Description and Table of Contents
Table of Contents
1 Introduction.- 2 Permutational Structure of Nuclear States.- 2.1 Concepts and Motivation.- 2.2 The Symmetric Group S(n).- 2.3 Irreducible Representations of the Symmetric Group S(n).- 2.4 Construction of States of Orbital Symmetry, Young Operators.- 2.5 Computation of Irreducible Representations of the Symmetric Group.- 2.6 Spin, Isospin and the Supermultiplet Scheme.- 2.7 Matrix Elements in the Supermultiplet Scheme.- 2.8 Supermultiplet Expansion for States of Light Nuclei.- 2.9 Notes and References.- 3 Unitary Structure of Orbital States.- 3.1 Concepts and Motivation.- 3.2 The General Linear and the Unitary Group and Their Finite-Dimensional Representations.- 3.3 Wigner Coefficients of the Group GL(j, C).- 3.4 Computation of Irreducible Representations of GL(j, C) from Double Gelfand Polynomials.- 3.5 Computation of Irreducible Representations of GL(j,C) from Representations of the Symmetric Group S (n).- 3.6 Conjugation Relations of Irreducible Representations of GL (j, C).- 3.7 Fractional Parentage Coefficients and Their Computation.- 3.8 Bordered Decomposition of Irreducible Representations for the Group GL(j, C).- 3.9 Orbital Configurations of n Particles.- 3.10 Decomposition of Orbital Matrix Elements.- 3.11 Orbital Matrix Elements for the Configuration f = [4j].- 3.12 Notes and References.- 4 Geometric Transformations in Classical Phase Space and their Representation in Quantum Mechanics.- 4.1 Concepts and Motivation.- 4.2 Symplectic Geometry of Classical Phase Space.- 4.3 Basic Structure of Bargmann Space.- 4.4 Representation of Translations in Phase Space by Weyl Operators.- 4.5 Representation of Linear Canonical Transformations.- 4.6 Oscillator States of a Single Particle with Angular Momentum and Matrix Elements of Some Operators.- 4.7 Notes and References.- 5 Linear Canonical Transformations and Interacting n-particle Systems.- 5.1 Orthogonal Point Transformations in n-particle Systems and their Representations.- 5.2 General Linear Canonical Transformations for n Particles and State Dilatation.- 5.3 Interactions in n-body Systems and Complex Extension of Linear Canonical Transformations.- 5.4 Density Operators.- 5.5 Notes and References.- 6 Composite Nucleon Systems and their Interaction.- 6.1 Concepts and Motivation.- 6.2 Configurations of Composite Nucleon Systems.- 6.3 Projection Equations and Interaction of Composite Nucleon Systems.- 6.4 Phase Space Transformations for Configurations of Oscillator Shells and for Composite Nucleon Systems.- 6.5 Interpretation of Composite Particle Interaction in Terms of Single-Particle Configurations.- 6.6 Notes and References.- 7 Configurations of Simple Composite Nucleon Systems.- 7.1 Concepts and Motivation.- 7.2 Normalization Kernels.- 7.3 Interaction Kernels.- 7.4 Configurations of Three Simple Composite Nucleon Systems.- 7.5 Notes and References.- 8 Interaction of Composite Nucleon Systems with Internal Shell Structure.- 8.1 Concepts and Motivation.- 8.2 Single-Particle Bases and their Overlap Matrix.- 8.3 The Normalization Operator for Two-Center Configurations with a Closed Shell and a Simple Composite Particle Configuration.- 8.4 The Interaction Kernel for Two-Center Configurations with a Closed Shell and a Simple Composite Particle Configuration.- 8.5 Two Composite Particles with Closed-Shell Configurations.- 8.6 Two-Center Configurations with an Open Shell and a Simple Composite Particle Configuration.- 8.7 Notes and References.- 9 Internal Radius and Dilatation.- 9.1 Oscillator States of Different Frequencies.- 9.2 Dilatations in Different Coordinate Systems.- 9.3 Dilatations of Simple Composite Nucleon Systems.- 9.4 Notes and References.- 10 Configurations of Three Simple Composite Particles and the Structure of Nuclei with Mass Numbers A = 4-10.- 10.1 Concepts and Motivation.- 10.2 The Model Space.- 10.3 The Interaction.- 10.4 Convergence Properties of the Model Space.- 10.5 Comparison with Shell Model Results.- 10.6 Absolute Energies.- 10.7 The Oscillator Parameter b.- 10.8 Results on Nuclei with A = 4-10.- 10.9 Notes and References.- References for Sections 1-9.- References for Section 10.
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