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E-raamat: Giant Resonances

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This volume presents a comprehensive introduction to the study of nuclear structure at finite temperature. This basic subject matter is supplemented with material taken from research on the structure of hot nuclei.

This volume presents a comprehensive introduction to the study of nuclear structure at finite temperature. By measuring the frequencies of the high-energy photons emitted or absorbed by an atomic nucleus it is possible to visualize the structure of that nucleus. In such experiments it is observed that the atomic nucleus displays resonant behavior, absorbing or emitting photons within a relatively narrow range of frequencies. To study emission processes one measures the y-decay of compound nuclei, and by this means it is possible to probe the structure of the nucleus at finite temperature. This book is divided into two main parts: the study of giant resonances based on the atomic nucleus ground state (zero temperature), and the study of the y-decay of giant resonances from compound (finite temperature) nuclei. As this work is an outgrowth of their lectures to fourth-year students at the University of Milan, the authors have placed special emphasis on the general concepts that form the foundation of the phenomenon of giant resonances. This basic subject matter is supplemented with material taken from work going on at the forefront of research on the structure of hot nuclei. Thus, this volume will serve as an essential reference for both young researchers and experienced practitioners.
Preface to the Series xi
Preface xiii
Introduction
1(24)
Overview
1(5)
Hot Nuclei
6(1)
Single-Particle Motion
7(2)
Giant Resonances
9(6)
Low-Lying Vibrations
15(2)
Rotations
17(8)
Part 1 ZERO TEMPERATURE
Giant Vibrations
25(22)
The Variety of Modes
25(2)
The Giant Dipole Resonance
27(4)
The Monopole and Quadrupole Vibrations
31(4)
The Decay of Giant Resonances
35(1)
Direct and Compound Particle-Decay
36(3)
Gamma-Decay of Giant Resonances
39(6)
Decay to Low-Lying States
39(1)
The Ground-State Decay
40(5)
Fission Decay of Giant Resonances
45(2)
Random Phase Approximation
47(22)
Mean Field Theory
47(4)
Effective Mass (k-mass)
49(2)
Random Phase Approximation (RPA)
51(16)
Dispersion Relation
54(4)
Sum Rules
58(3)
Coupling Strength
61(1)
Frequency of Dipole Vibrations
62(3)
Frequency of Quadrupole Vibrations
65(2)
Damping of Nuclear Motion
67(2)
Beyond Mean Field
69(40)
Doorway States
69(10)
The Dynamical Shell Model
69(7)
Effective Mass (ω-mass)
76(3)
Relaxation of Giant Vibrations
79(17)
Giant Quadrupole Resonance
84(6)
Compound Coupling
90(6)
Particle-Decay of Giant Resonances
96(7)
The Continuum---RPA Approach
96(2)
The Doorway-State Projection-Operator Method
98(5)
Gamma-Decay of Giant Resonances
103(6)
Part 2 FINITE TEMPERATURE
Measurement of Giant Resonances
109(20)
Overview
110(3)
Experimental Techniques
113(5)
Kinematic Relations
118(1)
High-Efficiency Multidetector Arrays
118(3)
Statistical Model of γ-Decay
121(8)
Simple Estimates
125(4)
Dipole Oscillations: Experiment
129(22)
Moderate Excitation Energies
129(10)
A ≈ 40
129(1)
A ≈ 110
130(2)
A ≈ 170
132(7)
Limiting Temperature
139(4)
Fissioning Nuclei
143(1)
The Pre-Fission γ-Decay
144(4)
Search for the Giant Monopole Resonance in Hot Nuclei
148(3)
Concepts of Statistical Physics
151(14)
The Variety of Ensembles
151(2)
Level Density and Partition Function
153(6)
The Fermi Gas Model
153(3)
Role of Correlations
156(3)
Applications of the SPA+RPA to Level Densities
159(4)
A Schematic Model
160(1)
A Realistic Model
161(1)
The Monte-Carlo Shell Model Method
162(1)
Use of Level Densities
163(2)
Linear Response
165(20)
Mean Field Theory
165(5)
Shell Corrections
170(4)
A Numerical Example
172(2)
Sum Rules
174(2)
Random Phase Approximation
176(9)
Dispersion Relation
179(1)
The Collective Response
179(6)
Collisions
185(20)
The Dynamical Shell Model
185(6)
Single-Particle Width: Matsubara Formalism
186(4)
Effective Mass (ω-mass)
190(1)
Relaxation of Giant Vibrations
191(4)
Non-Perturbative Treatment of Collisions
195(10)
Density-Matrix Formalism
195(2)
The Time-Dependent Density-Matrix Formalism
197(2)
Damping of Giant Vibrations
199(6)
Dipole Oscillations: Theory
205(30)
Effective Charges and Centre-of-Mass Correction
205(1)
The Oscillator Strength
206(2)
Polarizability Sum Rule
208(2)
Temperature Dependence of the Parameters
210(4)
Mean Square Radius
210(3)
Symmetry Coefficient
213(1)
Energy Centroid
214(1)
The Damping Width
214(5)
Simple Estimates
215(4)
Motional Narrowing
219(6)
Analysis of the Experimental Data
225(10)
The Nuclei 120Sn and 208Pb: The Role of Temperature
227(1)
The Nucleus 110Sn: The Role of Angular Momentum
227(3)
The Nucleus 92Mo: Motional Narrowing
230(5)
Rotational Motion
235(22)
Cranking Model
235(3)
Warm Nuclei
238(1)
Rotational Damping and NMR: An Analogy
239(5)
Ordered and Chaotic Motion
242(2)
Two-Band Model of Rotational Damping: A Primer
244(2)
General Formulation of Rotational Damping
246(11)
Simple Estimates
249(3)
Cranked Shell Model Calculations
252(5)
References 257(10)
Index 267
Pier Francesco Bortignon graduated from the University of Padova, Italy. He teaches classical physics at the Universita di Milano and nuclear physics at the School of Engineering (Politecnico) of Milan.

Angela Bracco received her PhD from the University of Manitoba, Canada, and earned out research at TRIUMF, Vancouver, Canada. She teaches experimental techniques of nuclear physics in the Department of Physics of the Universita di Milano.

Ricardo A. Broglia earned his PhD from the Institute JA Balseiro of the University of Cuyo, Argentina. He teaches theoretical nuclear physics at the Universita di Milano and is adjunct professor at the Niels Bohr Institute, Copenhagen, Denmark.