Note: Cover -- Half Title -- Title Page -- Copyright Page -- Table of Contents -- Preface -- Introduction -- I: Reactions with Light Exotic Nuclei -- 1: Introduction to Part I -- 2: Potential Scattering -- 2.1 Elements of Scattering Theory -- 2.1.1 Scattering Wave Function -- 2.1.2 Integral Equation for Scattering -- 2.1.3 Flux Conservation and Optical Theorem -- 2.2 The Eikonal Approximation -- 2.2.1 Derivation -- 2.2.2 Treatment of the Spin-orbit Potential -- 2.2.3 Projectile-rest Fram -- 2.3 Illustrative Examples -- 2.3.1 Square-well Potential -- 2.3.2 Coulomb Scattering -- 3: Glauber Theory for Composite-particle Scattering -- 3.1 Some Kinematics -- 3.2 Glauber Theory -- 3.2.1 Formal Treatment -- 3.2.2 Eikonal Approximation -- 3.2.3 Cross Sections and Reaction Probabilities -- 3.2.4 Nucleus+nucleus Collision -- 3.2.5 Profile Function -- 3.3 Optical-limit Approximation To The Phase-shift Function -- 3.3.1 Nucleon-nucleus Case -- 3.3.2 Nucleus-nucleus Case -- 3.4 Total Reaction Cross Section -- 3.5 Phase-shift Function Revisited -- 3.5.1 Complete Calculation -- 3.5.2 Effective Profile Function -- 4: High-energy Reactions of Halo Nuclei -- 4.1 Simple Model for Halo Nuclei -- 4.2 Glauber Theory for Halo Nuclei -- 4.2.1 Cross Section Formulae -- 4.2.2 Relations Between Cross Sections -- 4.2.3 Optical-limit Approximation for Halo Nuclei -- 4.3 Applications -- 5: Medium-energy Reactions of Halo Nuclei -- 5.1 Elastic Scattering of Stable Nuclei -- 5.1.1 Optical Model -- 5.1.2 Folding Model -- 5.2 Few-body Direct Reaction Model -- 5.2.1 The Model -- 5.2.2 Eikonal Approximation -- 5.2.3 Cross Sections and Reaction Probabilities -- 5.3 Applications -- 5.3.1 Deuteron Reactions -- 5.3.2 Reactions with 11Be: Integrated Cross Sections -- 5.3.3 Reactions with 11Be: Differential Cross Sections -- 5.3.4 Reactions with Other Nuclei. , 6: Fragment Momentum Distribution in Reactions with Halo Nuclei -- 6.1 Momentum Distribution of Projectile Fragments -- 6.2 Formalism -- 6.2.1 Fundamentals -- 6.2.2 Elastic Breakup -- 6.2.3 Inelastic Breakup -- 6.2.4 Derivation in the Glauber Theory -- 6.3 Applications -- 6.3.1 A Reaction with 11Be -- 6.3.2 A Reaction with 8B -- 7: Coulomb Breakup Reactions of Halo Nuclei -- 7.1 Soft Dipole Mode -- 7.1.1 Dipole Strength Function -- 7.1.2 Sum Rule -- 7.1.3 Zero-range Potential Model -- 7.2 Equivalent-photon Method -- 7.3 Theory of the Coulomb Breakup -- 7.3.1 Eikonal Approximation -- 7.3.2 Perturbative Theory -- 7.4 Coulomb Breakup Reaction of 11Be -- 7.5 Postacceleration Phenomena -- II: Structure of Light Exotic Nuclei -- 8: Introduction to Part II -- 8.1 Overview -- 8.2 Description of Exotic Structure -- 8.3 Cluster Approach with Gaussians -- 9: Correlated Gaussian Approach -- 9.1 Preliminary Notes -- 9.1.1 Motivation -- 9.1.2 Essentials -- 9.1.3 Coordinates and Correlations -- 9.2 Variational Trial Function -- 9.2.1 Formulation in Terms of Relative Coordinates -- 9.2.2 Formulation without Reference to Relative Coordinates -- 9.2.3 Full Form -- 9.3 Generating Function -- 9.3.1 Definition -- 9.3.2 Generating a Correlated Gaussian -- 9.3.3 Gaussian Wave Packets -- 9.3.4 Correlated Gaussian from Single-particle States -- 9.4 Evaluation of Matrix Elements -- 9.4.1 Uncoupling -- 9.4.2 Including the Centre of Mass -- 9.4.3 Generic Forms of Determinantal Matrix Elements -- 9.4.4 Translation-invariant Matrix Elements -- 9.5 Physical Quantities -- 9.5.1 One-body Operators -- 9.5.2 Two-body Operators -- 10: Variational Procedure -- 10.1 Basis Optimization -- 10.2 Stochastic Optimization -- 10.2.1 Random Basis and Sorting -- 10.2.2 Trial-and-error Search -- 10.2.3 Refining -- 10.2.4 Description of Excited States -- 10.3 Short-range and Long-range Behaviour. , 10.4 Description of Unbound States -- 10.4.1 Classification -- 10.4.2 Localization of Resonances -- 10.5 Analytic Continuation in the Coupling Constant -- 10.5.1 Pole Trajectories -- 10.5.2 Analytic Continuation of Pole Trajectories -- 11: Cluster Models -- 11.1 Preliminary Notes -- 11.2 Basic Concepts of Clustering -- 11.3 Theory of Clustering -- 11.3.1 Cluster Subspace -- 11.3.2 Projection to the Cluster Subspace -- 11.3.3 Amplitudes Related to Clustering -- 11.3.4 Calculation of the Clustering Properties -- 11.4 Basic Concepts of Cluster Models -- 11.4.1 Overview -- 11.4.2 Intercluster Relative Motion -- 11.5 The Resonating-group Method -- 11.5.1 Essentials -- 11.5.2 Matrix Elements -- 11.6 The Harmonic-oscillator Cluster Model -- 11.6.1 The Model -- 11.6.2 Eigenvalue Problem of the Norm Operator -- 11.7 The Generator-coordinate Method and the Two-centre Shell Model -- 11.7.1 Generator-coordinate Method -- 11.7.2 The Method of Complex Generator Coordinates -- 11.7.3 Two-centre Shell Model -- 11.7.4 Cluster Distortion -- 11.8 The Orthogonality-condition Model -- 11.8.1 The Nonlocality Problem -- 11.8.2 Local Intercluster Potential -- 11.9 Microscopic Versus Macroscopic Approach -- 11.9.1 Observables -- 11.9.2 The Fishbone Model -- 11.9.3 Three-cluster System -- 12: Cluster Model in the Correlated Gaussian Approach -- 12.1 Multicluster Approximation -- 12.2 Model Space and Interactions -- 12.2.1 Characteristics of the State Space -- 12.2.2 Clustering in Light Nuclei -- 12.2.3 Effective Force -- 12.3 Cluster Correlations -- 12.3.1 Correlated Versus Uncorrelated Description -- 12.3.2 Clustering in A-nuc!eon Calculations -- 13: Application to Exotic Nuclei -- 13.1 The Structure of 6He and 6Li -- 13.1.1 Exposition -- 13.1.2 State Spaces -- 13.1.3 Test of the Approac -- 13.1.4 Observables -- 13.2 The Structure of 8He. , 13.3 The Mirror Nuclei (7Li, 7Be), (8Li, 8B) and (9Li, 9C) -- 13.3.1 Exposition -- 13.3.2 The Structure of 7Li and 7Be -- 13.3.3 The Structure of 8Li and 8B -- 13.3.4 The Structure of 9Li and 9C -- 13.3.5 Magnetic Moments of Mirror Nuclei -- 13.3.6 Summary -- 13.4 The Mirror Nuclei 9Be and 9B -- 13.4.1 Exposition -- 13.4.2 State Spaces and Energies -- 13.4.3 Radii and Electromagnetic Properties -- 13.4.4 Beta-decay of 9Li to 9Be -- 13.4.5 Summary -- 13.5 The States of 10Be -- 13.5.1 Exposition -- 13.5.2 Model -- 13.5.3 Spectroscopy of States -- 13.5.4 Density Distributions -- 13.5.5 The Sequence of be Isotopes -- 13.6 The Parity Inversion in the Mirror Nuclei 11Be and 11N -- 13.7 The Nuclei 10,11Li -- 13.7.1 Facts and Speculations -- 13.7.2 Theoretical Approaches -- 13.8 Overview of Exotic Structure -- 13.9 Structure Calculations with Realistic Nuclear Forces -- 13.9.1 Realistic Forces -- 13.9.2 Stochastic Variational Solution -- 13.9.3 The Triton and the Alpha-particle -- 13.9.4 The Description of 6Li -- 13.10 Reaction Calculations with Correlated Gaussians -- 13.10.1 Exposition -- 13.10.2 High-energy p+6He Scattering -- 13.10.3 High-energy 6He+12C Scattering -- 13.10.4 Low-energy a+6He Scattering -- Appendices -- A: Overview of Reaction Theories -- B: Conventional Cluster Jacobi Coordinates -- C: Borromean and Efimov States -- D: Antisymmetrization -- E: Matrix Elements Between Slater Determinants -- E.1 Unit Operator -- E.2 One-body Operators -- E.3 Two-body Operators -- E.4 Many-body Operators -- F: Matrix Elements Between Correlated Gaussians -- G: Other Matrix Elements -- G.1 Successive Coupli -- G.2 Unnatural Parity States -- G.3 Calculation of the Amplitudes Related to Clustering -- H: An a+n+n Three-cluster Model for 6He -- I: The Nuclear SU(3) Symmetry -- Bibliography -- Glossary of Symbols -- Index -- Abbreviations.

Note: Intro -- Stochastic Variational Approach to Quantum-Mechanical Few-Body Problems -- Table of Contents -- 1. Introduction -- 2. Quantum-mechanical few-body problems -- 2.1 Hamiltonian -- 2.2 RelatiVe coordinates -- 2.3 Symmetrization -- 2.4 Permutation of the Jacobi coordinates -- Complements -- 2.1 An N-particle Hamiltonian in the heavy-particle center coordinate set -- 2.2 Canonical Jacobi coordinates -- 3. Introduction to variational methods -- 3.1 Variational principles -- 3.2 The variance of local energy -- 3.3 The virial theorem -- 4. Stochastic variational method -- 4.1 Basis optimization -- 4.2 A practical example -- 4.2.1 Geometric progression -- 4.2.2 Random tempering -- 4.2.3 Random basis -- 4.2.4 Sorting -- 4.2.5 THal and error search -- 4.2.6 Refining -- 4.2.7 Comparison of different optimizing strategies -- 4.3 Optimization for excited states -- Complements -- 4.1 Minimization of energy versus variance -- 5. Other methods to solve few-body problems -- 5.1 Quantum Monte Carlo method: The imaginary-time evolution of a system -- 5.2 Hyperspherical harmonics expansion method -- 5.3 Faddeev method -- 5.4 The generator coordinate method -- 6. Variational trial functions -- 6.1 Correlated Gaussians and correlated Gaussian-type geminals -- 6.2 Orbital functions with arbitrary angular momentum -- 6.3 Generating function -- 6.4 The spin fanction -- Complements -- 6.1 Nodeless harmonic-oscillator functions as a basis -- 6.3 Angular momentum recoupling -- 6.4 Separation of the center-of-mass motion from correlated Gaussians -- 6.5 Three electrons with S = 1/2 -- 6.6 Four electrons in an arbitrary spin arrangement -- 6.7 Six electrons with S = 0 -- Exercises -- 7. Matrix elements for spherical Gaussians -- 7.1 Matrix elements of the generating function -- 7.2 Correlated Gaussians -- 7.3 Correlated Gaussians in two-dimensional systems. , 7.4 Correlated Gaussian-type geminals -- 7.5 Nonlocal potentials -- 7.6 Semirelativistic kinetic energy -- Complements -- 7. 1 Sherman-MorTison fonnula -- Exercises -- 8. Small atoms and molecules -- 8.1 Coulombic systems -- 8.2 Coulombic three-body systems -- 8.3 Four or more particles -- 8.4 Small molecules -- Complements -- 8.1 The cusp condition for the Coulomb potential -- 8.2 The chemical bond. The H^+_2 ion -- 8.3 Stability of hydrogen-like molecules -- 8.4 Application of global vectors to muonic molecules -- 9. Baryon spectroscopy -- 9.1 The trial function in the constituent quark model -- 9.2 One-gluon exchange model -- 9.3 Meson-exchange model -- 10. Few-body problems in solid state physics -- 10.1 Excitonic complexes -- 10.2 Quantum dots -- 10.3 Quantum dots in magnetic field -- 10.4 Quantum dots in the generator coordinate method -- Complements -- 10.1 Two-dimensional electron motion in a magnetic field -- 11. Nuclear few-body systems -- 11.1 Introductory remark on nucleon-nucleon potentials -- 11.2 Few-nucleon systems with central forces -- Complements -- 11.1 Correlations in few-nucleon systems -- 11-3 Quark Pauli effect in s-shell A hypernuclei -- 11.4 The 12C nucleus as a system of three alpha-particles -- 11.2 Convergence of partial-wave expansions -- Appendix -- Matrix elements for general Gaussians -- A.1 Correlated Gaussians -- A.1.1 Overlap of the basis functions -- A.1.2 Kinetic energy -- A.1.3 Two-body interactions -- A.1.4 Density multipole operators -- A.2 Correlated Gaussians with different coordinate sets -- A.3 Correlated Gaussian-type geminals -- A.4 Spin matrix elements -- A.5 Three-body problem with central, tensor and spin-orbit forces -- Complements -- A.I Matrix elements o central potentials -- A.2 Matrix elements of density multipoles. , A.3 Overlap matrix elements of the correlated Gaussians for a threeparticle system -- Exercises -- References -- Index.