Strachan / Ter Haar The Theory of Beta-Decay

1. Auflage 2016
ISBN: 978-1-4832-8040-0
Verlag: Elsevier Science & Techn.
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 22 Seiten, Web PDF

The Theory of Beta-Decay covers the formulas, theories, probabilities, and spectra of beta-decay. This book is divided into 2 parts compassing 12 chapters, and starts with the introduction to the neutrino and the quantum theoretical background, explaining the basic phenomenon of beta-decay and the emission of electrons. The subsequent chapters deal with the interaction and the transition probability, as well as formulas of solutions. These topics are followed by discussions on the developments in the non-conservation of parity and helicity, the two-component theory of the neutrino, possible invariance under time-reversal and charge conjugation, leptonic number of lepton charge, and muon decay and other theories. Other chapters describe the tentative theory of beta-radiation, the detection of the free neutrino, and the selection rules for the beta-disintegration. The last chapters consider questions and experimental test about beta-decay. The chapters also look into the theories and helicity of neutrino, the theory of the Fermi interaction, and the test of the nature of the vector interaction in beta-decay This book will be of value to physicists and researchers in the allied fields.

Autoren/Hrsg.

Strachan, C.

Ter Haar, D.

Inhaltsverzeichnis

1;Front Cover;1
2;The Theory of Beta-Decay;4
3;Copyright Page;5
4;Table of Contents;6
5;PREFACE;8
6;PART 1;10
6.1;CHAPTER I. Quantum Theoretical Background;12
6.1.1;1.1. Introduction. The Neutrino;12
6.1.2;1.2. Theoretical Background;17
6.1.3;1.3. Dirac's Equation. Particles and Antipartides;26
6.1.4;1.4. Formulation of Dirac's Equation;29
6.2;CHAPTER II. The Interaction Hamiltonian. Beta-ray Spectra and Decay Probabilities;35
6.2.1;2.1. The Interaction;35
6.2.2;2.2. The Transition Probability;41
6.2.3;2.3. Parity;43
6.2.4;2.4. Transition Probability (cont.);46
6.2.5;2.5. Allowed Transitions;50
6.2.6;2.6. Selection Rules, Energy Spectrum, Angular Correlations;53
6.2.7;2.7. Classification of Transitions;62
6.2.8;2.8. Forbidden Transitions and the Effect of the Coulomb Field;76
6.3;CHAPTER III. Further Developments;84
6.3.1;3.1. Non-conservation of Parity;84
6.3.2;3.2. Helicity and the Two-component Theory of the Neutrino;86
6.3.3;3.3. Possible Invariance under Time-reversal and Charge;92
6.3.4;3.4. "Leptonic Number" or "Leptonic Charge";94
6.3.5;3.5. Muon Decay and the Conserved Vector Current Theory;96
6.3.6;3.6. "Weak Magnetism";105
6.3.7;3.7. Current-current Formulation. Universal Weak Interaction. Cabibbo Theory;109
6.4;REFERENCES;111
7;PART 2;114
7.1;PAPER 1. Tentative Theory of Beta-radiation;116
7.1.1;Abstract;116
7.1.2;1. Basic Assumptions of the Theory;116
7.1.3;2. The Operators Occurring in the Theory;118
7.1.4;3. Formulation of the Hamiltonian;119
7.1.5;4. Perturbation Matrix;123
7.1.6;5. Theory of ß-decay;125
7.1.7;6. Factors which Determine the Transition Probability;127
7.1.8;7. The Mass of the Neutrino;128
7.1.9;8. Lifetime and Form of the Distribution Curve for "Allowed" Transitions;129
7.1.10;9. The Forbidden Transitions;132
7.1.11;10. Comparison with Experiment;133
7.2;PAPER 2. Detection of the Free Neutrino: a Confirmation;138
7.2.1;Design of the Experiment;139
7.2.2;Experimental Results;142
7.3;PAPER 3. Selection Rules for the Beta-disintegration;145
7.3.1;Summary;145
7.4;PAPER 4. Question of Parity Conservation in Weak Interactions!*;155
7.4.1;Summary;155
7.4.2;Present Experimental Limit on Parity Nonconservation;156
7.4.3;Question of Parity Conservation in ß decay;158
7.4.4;Possible Experimental Tests of Parity Conservation in ß decays;159
7.4.5;Question of Parity Conservation in Meson and Hyperon Decays;161
7.4.6;Possible Experimental Tests of Parity Conservation in Meson and Hyperon Decays;162
7.4.7;Remarks;165
7.4.8;Appendix;166
7.5;PAPER 5. Experimental Test of Parity Conservation in Beta-decay;169
7.6;PAPER 6. Parity Nonconservation and a Two-component Theory of the Neutrino,;175
7.6.1;Summary;175
7.6.2;I. Neutrino Field;176
7.6.3;II. Experimental Implications;181
7.6.4;General Remarks;186
7.7;PAPER 7. Helicity of Neutrinos;188
7.8;PAPER 8. Theory of the Fermi Interaction;194
7.8.1;Summary;194
7.8.2;Acknowledgements;208
7.9;PAPER 9. Test of the Nature of the Vector Interaction in Beta-decay;209
7.9.1;Summar;209
7.9.2;I. The Problem of the Vector Interaction;209
7.9.3;II. Analogy with Electromagnetism;212
7.9.4;III. Effect of Weak Magnetism on ß Spectra;215
7.9.5;Acknowledgements;219
8;Index;220