Algebraic Approaches to Nuclear Structure

Preface to the Series -- Preface -- Chapter 1 Introduction -- 1.1 Orientation -- 1.2 Nuclear Structure -- 1.3 Guide to the Text /Richard F. Casten -- Chapter 2 Group Theory of the IBM and Algebraic Models in General -- 2.1 Introduction: Why Groups? -- 2.2 Occupation-Number Representation -- 2.3 Isospin and Angular Momentum -- 2.4 The General Unitary Group U(n) -- 2.5 The Group U(6) in the IBM -- 2.6 Group Reductions -- 2.7 Dynamic Symmetries -- 2.8 Further Applications -- Appendix /Pertti O. Lipas -- Chapter 3 Empirical Tests of the IBM-1 -- Introduction -- 3.1 The 0(6) Symmetry -- 3.2 The U(5) Symmetry -- 3.3 The 51 /(3) Symmetry -- 3.4 Numerical Calculations in the IBM -- 3.5 E2 Transitions -- 3.6 The Consistent Q Formalism (CQF) -- 3.7 Practical Calculations -- 3.8 Ml Transitions -- 3.9 Transition Regions -- 3.10 Summary /Richard F. Casten and David D. Warner -- Chapter 4 Microscopic Basis and Introduction to IBM-2 -- 4.1 Shell Structure of Nucleus -- 4.2 Nuclear Surface and Nucleons -- 4.3 Effective Nucleon-Nucleon Interaction and Nuclear Deformation -- 4.4 S and D Nucleon Pairs—Truncation of the Shell Model -- 4.5 Mapping to SD Boson States -- 4.6 Proton Bosons, Neutron Bosons and Boson Number -- 4.7 Mapping of Nucleon Operators onto Boson Operators -- 4.8 Mapping in a Single-Orbit System -- 4.9 Spectrum of Mapped Boson System -- 4.10 Standard IBM-2 Hamiltonian: Phenomenology -- 4.11 F-spin -- 4.12 Scissors Mode and Other Mixed-Symmetry States -- 4.13 Ginocchio Model -- 4.14 Interacting Boson Models 3 and 4 -- 4.15 Concluding Remarks /Takaharu Otsuka -- Chapter 5 The IBFM and Bose-Fermi Symmetries -- 5.1 Core-Particle Coupling -- 5.2 The IBFM Hamiltonian -- 5.3 The Role of Symmetry -- 5.4 Symmetries Associated with f /B(6) x UF( 12) -- 5.5 Physical Requirements for Bose-Fermi Symmetry -- 5.6 Relationship with Other Models -- 5.7 Experimental Examples -- 5.8 Supersymmetry /David D. Warner -- Chapter 6 Extensions of the s-d Boson Model -- 6.1 Introduction -- 6.2 g-Bosons in the Interacting Boson Model -- 6.3 Negative Parity Bosons in the Interacting Boson Model -- 6.4 Triaxiality and Cubic Boson Interactions -- 6.5 Nucleon Excitations across Closed Shells: Intruder Excitations -- 6.6 Conclusion -- Appendix 6.1 /Kris Heyde -- Appendix 6.2 -- Chapter 7 Fermion Models -- 7.1 Fermions versus Bosons -- 7.2 Quantum Rotor and the SU(3) Model -- 7.3 Pseudo-Spin Symmetries -- 7.4 Fermion Dynamical Symmetry Model -- 7.5 Symplectic Shell Model /Jerry P. Draayer -- Index.