Electromagnetic excitation: theory of Coulomb excitation with heavy ions

Front Cover
North-Holland Pub. Co., 1975 - Science - 364 pages

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Contents

INTRODUCTION
1
CHAPTER H SEMICLASSICAL EQUATIONS OF MOTION
14
Semiclassical picture
17
5matrix formalism
21
Coupled differential equations
28
Coupled equations in Fourier components
33
Effect of highlying states
35
Effects of decaying states
38
The diagonalization procedure
175
The sudden approximation
178
Deviations from the sudden approximation
184
Deviations from the approximation
186
Excitation of two weakly coupled groups of states
187
Simultaneous and mutual excitation
189
Symmetrization of the parameters
191
MULTIPLE EXCITATION OF VIBRATIONAL STATES
194

Symmetries invariances and coordinate systems
43
Parametrization of orbital motion
49
CROSS SECTIONS AND ANGULAR DISTRIBUTIONS
56
Polarization in Coulomb excitation
58
Angular distribution of gamma rays
63
Gamma cascades following Coulomb excitation
69
Perturbation of angular distribution
74
FIRSTORDER PERTURBATION THEORY
77
Classical orbital integrals
80
Excitation probabilities
89
Cross section and angular distribution
93
Magnetic excitation
108
Multipolemultipole excitation
115
Quantum mechanical effects
118
HIGHERORDER PERTURBATION THEORY
121
Double integrals
125
Excitation probabilities and cross sections
129
Angular distribution of gamma rays
131
Double excitations
134
Effects of static moments
149
Polarization effects
158
Higherorder perturbation theory
162
MULTIPLE EXCITATIONS
165
The coupled differential equations
168
Evaluation of the excitation amplitude
198
Vibrational excitation of spherical nuclei
201
Vibrational excitation of deformed nuclei
203
Classical treatment of vibrational excitations
206
MULTIPLE EXCITATION OF DEFORMED NUCLEI
210
Excitation in the sudden approximation
215
Excitation of the ground state band
217
Excitation of other rotational bands
222
Deviation from the sudden approximation
229
Classical treatment
233
Effects of higher multipole moments
235
QUANTUM MECHANICAL TREATMENT
237
Perturbation theory
241
The WKB approximation
248
Discussion of quantum mechanical corrections
257
APPLICATION TO EXPERIMENTS
263
TORBEN units
268
Projectile and target excitation
274
Range of parameters
277
Thick targets
285
APPENDICES
297
ALPHABETICAL LIST OF SYMBOLS
344
REFERENCES
359
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