Angular correlation methods in gamma-ray spectroscopy:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam
North-Holland Publ.
1965
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 214 S. Ill., graph. Darst. |
Staff View
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| 245 | 1 | 0 | |a Angular correlation methods in gamma-ray spectroscopy |c by A. J. Ferguson |
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| 300 | |a XI, 214 S. |b Ill., graph. Darst. | ||
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| 650 | 4 | |a Gamma ray spectrometry | |
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Record in the Search Index
| _version_ | 1804116451117760512 |
|---|---|
| adam_text | ANGULAR CORRELATION
METHODS IN
GAMMA-RAY SPECTROSCOPY
Ov
BY
AJFERGUSON
Research J hysicist
Chalk River Nuclear Laboratories, Canada
JS£b
NORTH-HOLLAND PUBLISHING COMPANY-AMSTERDAM
Contents
PREFACE v
CONTENTS IX
CHAPTER 1 INTRODUCTION L
1 Scope of the work 1
2 History 4
3 Phases 5
CHAPTER 2 SUMMARY OF THE THEORY 9
1 General remarks and notation 9
2 Vector addition and recoupling 12
3 Coordinate axis rotation and rotation matrices 14
4 Density and efficiency matrices 14
5 Statistical tensors 16
6 The Wigner-Eckart theorem 19
7 The tensors of a vector sum 20
8 The radiation parameters 22
8 1 Spinless particles 22
8 2 Particles with spin 23
• 8 3 Gamma rays 24
9 Efficiency tensors 28
9 1 Angular momentum and coordinate representation 28
9 2 The efficiency tensor for a finite gamma counter 32
9 3 The dependence of efficiency tensors on counter position 35
9 4 Symmetries in counters 36
9 5 Tabulations of attenuation coefficients 37
9 6 Compton polarimeters 38
10 The general formulation of angular correlations 44
10 1 The contribution of one transition to the correlation 44
10 2 The angular correlation function for a cascade 47
10 3 Reduction of the general correlation function to some particular cases 49
10 4 The angular distribution of a reaction 51
X CONTENTS
CHAPTER 3 THEORY FOR SPECIFIC CASES 55
1 Particle-gamma reactions 55
1 1 The angular distribution 55
1 2 Cross section 57
1 3 Isolated resonance 59
2 Particle-gamma-gamma angular correlations 60
2 1 The general formula 60
2 2 Tabulations of coefficients for (pyy) analysis 65
2 3 Geometries 67
3 Correlations from states with axial symmetry 75
3 1 Reactions having mixed intermediate states 75
3 2 Gamma-gamma correlations from aligned states 76
3 3 Particle-particle-gamma correlations involving axial symmetry 81
4 Gamma-gamma and gamma-gamma-gamma correlations 84
4 1 Gamma-gamma correlations from radioactive decay 84
4 2 Gamma-gamma-gamma correlations 85
5 Coulomb excitation 86
6 Polarization-direction correlations 89
6 1 General remarks 89
6 2 Direction-polarization correlations from aligned nuclei 90
6 3 Particle-gamma direction-polarization correlations 95
6 4 Gamma-gamma direction-polarization correlations 96
7 Circular polarization 97
7 1 General 97
7 2 Circular polarization from polarized nuclei and projectiles 97
7 3 Polarized neutron capture 99
CHAPTER 4 NUMERICAL CALCULATIONS 103
1 General remarks 103
2 The method of least squares 104
2 1 The normal equations 104
2 2 The errors of the fitted parameters 106
2 3 The general normal probability distribution function 109
2 4 The mean value of A min 109
2 5 Error and confidence ellipses Ill
2 6 Two standard schemes of analysis 113
3 Analysis of multiple correlations 116
3 1 Non-linear least squares 116
3 2 The method of Broude and Gove 120
4 Graphical methods of analysis 123
4 1 General remarks 123
4 2 The graphical method of Coleman 124
4 3 The method of Arns and Wiedenbeck 126
4 4 Contour plots , 127
CONTENTS XI
CHAPTER 5 APPARATUS 129
1 General remarks 129
2 Angular correlation apparatus 129
2 1 Utrecht equipment 129
2 2 Chalk River equipment 131
2 3 Counter arrays 132
3 Electronic equipment 133
3 1 General 133
p32 An example of an electronic set-up 135
4^ Sources of error 136
5 Monitors 140
5 1 Counter monitors 140
5 2 Beam current integration 140
)
CHAPTER 6 COEFFICIENTS AND FUNCTIONS IN ANGULAR CORRELATIONS
ANALYSIS 143
1 Coefficients 143
1 1 General 143
12Z and Zi coefficients 143
1 3 Gv coefficients 144
14a coefficients 145
1 5 Clebsch-Gordan coefficients 145
1 6 Racah coefficients 146
1 7 9-j coefficients 148
1 8 Tables of angular distribution coefficients 148
•2 Functions of position coordinates 150
2 1 Legendre functions 150
2 2 Spherical harmonics 151
2 3 Rotation matrices 151
3 Selection rules 153
3 1 Evenness of k 153
3 2 Complexity of the correlation 154
CHAPTER 7 TABLES 157
REFERENCES 207
GENERAL INDEX 211
|
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| indexdate | 2024-07-09T15:38:43Z |
| institution | BVB |
| language | English |
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| physical | XI, 214 S. Ill., graph. Darst. |
| psigel | TUB-nveb |
| publishDate | 1965 |
| publishDateSearch | 1965 |
| publishDateSort | 1965 |
| publisher | North-Holland Publ. |
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| spelling | Ferguson, Alexander J. Verfasser aut Angular correlation methods in gamma-ray spectroscopy by A. J. Ferguson Amsterdam North-Holland Publ. 1965 XI, 214 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Corrélations angulaires (physique nucléaire) ram Gammastraling gtt Impulsmoment gtt Kernspectrometrie gtt Spectrométrie gamma Spectrométrie gamma ram Gamma ray angular correlations Gamma ray spectrometry Spectrum Analysis Winkelkorrelation (DE-588)4189967-2 gnd rswk-swf Gammaspektroskopie (DE-588)4155924-1 gnd rswk-swf Gammaspektroskopie (DE-588)4155924-1 s Winkelkorrelation (DE-588)4189967-2 s DE-604 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001306679&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ferguson, Alexander J. Angular correlation methods in gamma-ray spectroscopy Corrélations angulaires (physique nucléaire) ram Gammastraling gtt Impulsmoment gtt Kernspectrometrie gtt Spectrométrie gamma Spectrométrie gamma ram Gamma ray angular correlations Gamma ray spectrometry Spectrum Analysis Winkelkorrelation (DE-588)4189967-2 gnd Gammaspektroskopie (DE-588)4155924-1 gnd |
| subject_GND | (DE-588)4189967-2 (DE-588)4155924-1 |
| title | Angular correlation methods in gamma-ray spectroscopy |
| title_auth | Angular correlation methods in gamma-ray spectroscopy |
| title_exact_search | Angular correlation methods in gamma-ray spectroscopy |
| title_full | Angular correlation methods in gamma-ray spectroscopy by A. J. Ferguson |
| title_fullStr | Angular correlation methods in gamma-ray spectroscopy by A. J. Ferguson |
| title_full_unstemmed | Angular correlation methods in gamma-ray spectroscopy by A. J. Ferguson |
| title_short | Angular correlation methods in gamma-ray spectroscopy |
| title_sort | angular correlation methods in gamma ray spectroscopy |
| topic | Corrélations angulaires (physique nucléaire) ram Gammastraling gtt Impulsmoment gtt Kernspectrometrie gtt Spectrométrie gamma Spectrométrie gamma ram Gamma ray angular correlations Gamma ray spectrometry Spectrum Analysis Winkelkorrelation (DE-588)4189967-2 gnd Gammaspektroskopie (DE-588)4155924-1 gnd |
| topic_facet | Corrélations angulaires (physique nucléaire) Gammastraling Impulsmoment Kernspectrometrie Spectrométrie gamma Gamma ray angular correlations Gamma ray spectrometry Spectrum Analysis Winkelkorrelation Gammaspektroskopie |
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