Nuclear Structure from a Simple Perspective

R. F. Casten9780195045994, 0-19-504599-8

This textbook on nuclear structure takes a unique approach to the topic, explaining nuclear structure by building on a few elementary physical ideas. Intricate topics such as shell model residual interactions, the Nilsson model, and the RPA analysis of collective vibrations are explained in a simple, intuitive way so that predictions can usually be made without calculations, essentially by inspection. Frequent data comparison shows the relevance of theoretical approaches. New to this edition are chapters on exotic nuclei and radioactive beams,and correlations of collective observables. Completely new discussions are given on isopin, the shell model, nature of collective vibrations, multi- phonon states, superdeformation, bandmixing, the geometric collective model, the fermei gas model, basic properties of simple nuclear potentials, the deuteron, etc.

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Table of contents :
CONTENTS……Page 14
PART I: INTRODUCTION……Page 16
1.1 Introduction……Page 18
1.2 The Nuclear Force……Page 21
1.3 Pauli Principle and Antisymmetrization……Page 31
1.4 Two-State Mixing……Page 32
1.5 Multistate Mixing……Page 37
1.6 Two-State Mixing and Transition Rates……Page 40
2. THE NUCLEAR LANDSCAPE……Page 43
PART II: SHELL MODEL AND RESIDUAL INTERACTIONS……Page 60
3. THE INDEPENDENT PARTICLE MODEL……Page 62
4. THE SHELL MODEL: TWO-PARTICLE CONFIGURATIONS……Page 82
4.1 Residual Interactions: The δ-Function……Page 84
4.2 Geometrical Interpretation……Page 100
4.3 Pairing Interaction……Page 108
4.4 Multipole Decomposition of Residual Interactions……Page 109
4.5 Some Other Results (Average Shifts, Hole, and Particle–Hole Configurations)……Page 119
5.1 J Values in Multiparticle Configurations: The m-Scheme……Page 124
5.2 Coefficients of Fractional Parentage (CFP)……Page 126
5.3 Multiparticle Configurations j[sup(n)]: The Seniority Scheme……Page 130
5.4 Some Examples……Page 140
5.5 Pairing Correlations……Page 145
PART III: COLLECTIVITY, PHASE TRANSITIONS, DEFORMATION……Page 154
6.1 An Introduction to Collectivity, Configuration Mixing, and Deformation……Page 156
6.2 Collective Excitations in Spherical Even–Even Nuclei……Page 160
6.3 Deformed Nuclei: Shapes……Page 176
6.4 Rotations and Vibrations of Axially Symmetric Deformed Nuclei……Page 180
6.5 Axially Asymmetric Nuclei……Page 201
6.6 The Interacting Boson Model……Page 212
6.7 The Development of Collectivity: Phenomenology and Microscopic Basis……Page 249
7. THE DEFORMED SHELL MODEL OR NILSSON MODEL……Page 262
7.1 The Nilsson Model……Page 263
7.2 Examples……Page 275
7.3 Prolate and Oblate Shapes……Page 278
7.4 Interplay of Nilsson Structure and Rotational Motion……Page 279
8.1 Single Nucleon Transfer Reactions……Page 286
8.2 The Coriolis Interaction in Deformed Nuclei……Page 295
8.3 Coriolis Mixing and Single Nucleon Transfer Cross Sections……Page 305
8.4 Coriolis Effects at Higher Spins……Page 315
9. MICROSCOPIC TREATMENT OF COLLECTIVE VIBRATIONS……Page 328
9.1 Structure of Collective Vibrations……Page 329
9.2 Examples: Vibrations in Deformed Nuclei……Page 337
PART IV: EXPERIMENTAL TECHNIQUES……Page 348
10.1 Coulomb Excitation……Page 350
10.2 Spectroscopically Complete Techniques……Page 359
10.3 Heavy Ion Compound Reactions and High Spin States……Page 371
10.4 Heavy Ion Transfer Reactions……Page 376
REFERENCES……Page 380
C……Page 386
L……Page 387
N……Page 388
R……Page 389
U……Page 390
Z……Page 391