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Algebraic approaches to nuclear structure : interacting boson and fermion models /

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This book is devoted to algebraic models and their applications. It presents a simple, but thorough, pedagogic approach, starting from the most elementary ideas and building up to the most recent results of advanced theories. The book is designed for a graduate level treatment.

Bibliographic Details
Main Author: Casten, R. (Author, Editor)
Corporate Author: Taylor & Francis
Format: eBook
Language:English
Published: Boca Raton, FL : CRC Press, Taylor and Francis Group, 2019.
Series:Contemporary concepts in physics ; volume 6
Subjects:
Nuclear structure > Mathematical models.
Interacting boson models.
Fermions > Mathematical models.
MATHEMATICS / Number Theory
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • 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.