Invariance Principles and Elementary Particles

Cover......Page 1
Invariance Principles and Elementary Particles......Page 4
Copyright......Page 5
Preface......Page 8
Contents......Page 10
CHAPTER 1. Introduction......Page 14
2.1. General Considerations......Page 20
2.2. Translation Operator and Linear Momentum......Page 21
2.3. Rotation Operator and Angular Momentum......Page 22
2.4. Angular Momentum Selection Rules and Spin Tests......Page 26
2.5. Lorentz Invariance......Page 29
2.6. The Dirac Equation and Bilinear Covariants......Page 34
2.7. Covariant Spin Formalism; Helicity and Chirality......Page 40
3.1. General Considerations......Page 43
3.2. pi+ -p Scattering and Phase Shift Analysis......Page 48
3.3. Intrinsic Parity; tau-theta Puzzle......Page 53
3.4. Multipole Expansion and Photoproduction......Page 63
3.5. Hyperon Decay......Page 69
3.6. Tests of Parity Conservation......Page 76
3.7. Parity in Field Theory......Page 80
3.8. Beta Decay......Page 85
4.1. Classical Physics......Page 90
4.2. Wigner Time Reversal in Quantum Mechanics......Page 92
4.3. Scattering and Reaction Theory; Reciprocity Relation, K Matrix......Page 97
4.4. Time Reversal in Field Theory; \"Diracology,\" Beta Decay......Page 111
4.5. Rules for Testing Time Reversal Invariance in Decay Processes......Page 119
5.1. General Considerations......Page 122
5.2. Charge Conjugation Parity and Selection Rules......Page 124
5.3. Charge Conjugation in the Dirac Theory......Page 128
5.4. Quantization and the Spin-Statistics Connection......Page 131
5.5. Parity, Chirality, and Helicity under Charge Conjugation......Page 138
5.6. Behavior of Bilinear Covariants under Charge Conjugation......Page 140
5.7. The Breakdown of Charge Conjugation Invariance in Weak Interactions......Page 142
6.1. Strong Reflection......Page 147
6.2. Proof of the CPT Theorem (Hamiltonian Formalism)......Page 150
6.3. CPT and Microcausality......Page 154
6.4. Consequences of CPT Invariance......Page 158
6.5. CP Invariance and the Mach Principle......Page 161
7.1. Two Component Theory of the Neutrino......Page 163
7.2. Lepton Conservation and the pi-mu-e Sequence......Page 166
7.3. The Form of the Four-Fermion Weak Coupling......Page 170
7.4. Nuclear Beta Decay......Page 172
7.5. Universal Fermi Interaction......Page 178
8.1. Gauge Invariance and Charge Conservation in Electrodynamics......Page 188
8.2. Baryon Conservation......Page 196
8.3. Superselection Rules; Concept of Charge......Page 198
8.4. Lepton Conservation......Page 201
9.1. History......Page 206
9.2. Charge Independence in Pion Physics......Page 208
9.3. Formal Theory of Isospin Rotations......Page 215
9.4. Classical Pion Physics......Page 223
9.5. G Conjugation Invariance; N-Nbar Selection Rule, Nucleon Structure......Page 234
9.6. Isospin and Weak Interactions; Conserved Vector Theory......Page 246
9.7. Quantum Numbers of rho, omega and nu......Page 252
10.1. History......Page 265
10.2. Strangeness Scheme......Page 267
10.3. Charge Independence in Strange Particle Reactions......Page 271
10.4. Neutral K Particles......Page 280
10.5. Decay Interactions of Strange Particles......Page 288
CHAPTER 11. Unsolved Problems......Page 297
Appendix A. Useful Tables of Clebsch-Gordan Coefficients......Page 308
Appendix B. Dirac Matrices......Page 311
Appendix C. Physical Constants......Page 313
References......Page 316
Index......Page 334