The Interacting Boson Model: F. Iachello, A. Arima: 9780521302821: Book: Science: eCampus.com

The interacting boson model was introduced in 1974 as an attempt to describe collective properties of nuclei in a unified way. Since 1974, the model has been the subject of many investigations and it has been extended to cover most aspects of nuclear structure. This book gives an account of the properties of the interacting boson model. In particular, this book presents the mathematical techniques used to analyze the structure of the model. It also collects in a single, easily accessible reference all the formulas that have been developed throughout the years to account for collective properties of nuclei. Suitable for both theorists and experimentalists.

This book gives an account of the properties of the interacting boson model.

Preface

Part I: The interacting boson model-1

Operators

Introduction

(1)

Boson operators

(2)

Basis states

(1)

Physical operators

(11)

Transition densities

(2)

Algebras

Introduction

(1)

Boson algebra

(2)

Boson subalgebras

(4)

Basis states

(9)

Dynamic symmetries

(7)

Electromagnetic transitions and moments

(32)

Binding energies

(2)

Nuclear radii

(1)

Two-nucleon transfer reactions

(5)

Transitional classes

(13)

Transition densities

(5)

Geometry

Introduction

(1)

Cosets and coset spaces

(3)

Coherent states

102

(4)

Shape structure of the dynamic symmetries

106

(2)

Higher-order terms

108

(1)

Shape-phase transitions

109

(4)

Experimental examples of shape-phase transitions

113

(3)

Boson condensates

116

(1)

Cranking and moments of inertia

117

(2)

Dynamic properties

119

(6)

Non-spherical bosons and Goldstone bosons

125

(6)

Part II: The interacting boson model-2

Operators

Introduction

131

(1)

Bosons from fermions

131

(2)

Boson operators

133

(1)

Basis states

134

(1)

Physical operators

135

(9)

Transition densities

144

(1)

Algebras

Introduction

145

(1)

Boson algebras for coupled systems

145

(3)

Basis states for coupled systems

148

(10)

Dynamic symmetries

158

(6)

Electromagnetic transitions and moments

164

(13)

Transitional classes

177

(1)

Numerical studies

178

(5)

Transition densities

183

(7)

Relation between the interacting boson models-1 and -2

190

(2)

Geometry

Introduction

192

(1)

Coherent states

192

(4)

Boson condensates

196

(1)

Dynamic properties

197

(8)

Part III: The interacting boson model-k

The interacting boson models-3 and -4

Introduction

205

(1)

The interacting boson model-3

205

(4)

The interacting boson model-4

209

(4)

The interacting boson models-G, -F, -CM

Introduction

213

(1)

The interacting boson model-1G

213

(2)

The interacting boson model-2G

215

(3)

The interacting boson model-1S'D'

218

(1)

The interacting boson model-1F

219

(13)

The interacting boson model-2CM

232

(4)

Group elements

Introduction

236

(1)

Multiple excitations

236

(1)

Group elements

237

(5)

Applications

242

(1)

References

243

(4)

Index

247


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