Introduction to elementary particles

✍ Scribed by Griffiths D.

• Publisher: Wiley
• Year: 1987
• Tongue: English
• Leaves: 403
• Category: Library

✦ Synopsis

This is the first quantitative treatment of elementary particle theory that is accessible to undergraduates. Using a lively, informal writing style, the author strikes a balance between quantitative rigor and intuitive understanding. The first chapter provides a detailed historical introduction to the subject. Subsequent chapters offer a consistent and modern presentation, covering the quark model, Feynman diagrams, quantum electrodynamics, and gauge theories. A clear introduction to the Feynman rules, using a simple model, helps readers learn the calculational techniques without the complications of spin. And an accessible treatment of QED shows how to evaluate tree-level diagrams. Contains an abundance of worked examples and many end-of-chapter problems.

✦ Table of Contents

INTRODUCTION TO ELEMENTARY PARTICLES......Page 2
CONTENTS......Page 6
Preface......Page 10
Elementary Particle Physics......Page 12
How Do You Produce Elementary Particles?......Page 15
How Do You Detect Elementary Particles?......Page 18
Units......Page 19
References and Notes......Page 21
1.1 The Classical Era (1897-1932)......Page 22
1.2 The Photon (1900-1924)......Page 25
1.3 Mesons (1934-1947)......Page 28
1.4 Antiparticles (1930-1956)......Page 29
1.5 Neutrinos (1930-1962)......Page 33
1.6 Strange Particles (1947-1960)......Page 39
1.7 The Eightfold Way (1961-1964)......Page 44
1.8 The Quark Model (1964)......Page 48
1.9 The November Revolution and Its Aftermath (1974-1983)......Page 52
1.10 Intermediate Vector Bosons (1983)......Page 55
1.11 The Standard Model (1978-?)......Page 57
References and Notes......Page 60
Problems......Page 62
2.1 The Four Forces......Page 66
2.2 Quantum Electrodynamics (QED)......Page 67
2.3 Quantum Chromodynamics (QCD)......Page 71
2.4 Weak Interactions......Page 76
2.5 Decays and Conservation Laws......Page 83
2.6 Unification Schiemes......Page 87
Problems......Page 89
3.1 Lorentz Transformations......Page 92
3.2 Four-Vectors......Page 95
3.3 Energy and Momentum......Page 98
3.4 Collisions......Page 102
3.5 Examples and Applications......Page 104
Problems......Page 110
4.1 Symmetries, Groups, and Conservation Laws......Page 114
4.2 Spin and Orbital Angular Momentum......Page 118
4.3 Addition of Angular Momenta......Page 120
4.4 Spin 1/2......Page 124
4.5 Flavor Symmetries......Page 127
4.6 Parity......Page 133
4.7 Charge Conjugation......Page 139
4.8 CP Violation......Page 141
4.9 Time Reversal and the TCP Theorem......Page 145
References and Notes......Page 146
Problems......Page 148
5.1 The Schrodinger Equation for a Central Potential......Page 154
5.2 The Hydrogen Atom......Page 159
5.3 Fine Structure......Page 162
5.4 The Lamb Shift......Page 165
5.5 Hyperfine Structure......Page 167
5.6 Positronium......Page 170
5.7 Quarkonium......Page 175
5.8 Light Quark Mesons......Page 179
5.9 Baryons......Page 183
5.10 Baryon Masses and Magnetic Moments......Page 191
References and Notes......Page 195
Problems......Page 197
6.1 Lifetimes and Cross Sections......Page 200
6.2 The Golden Rule......Page 205
6.3 The Feynman Rules for a Toy Theory......Page 212
6.5 Scattering......Page 215
6.6 Higher-Order Diagrams......Page 217
References and Notes......Page 221
Problems......Page 222
7.1 The Dirac Equation......Page 224
7.2 Solutions to the Dirac Equation......Page 227
7.3 Bilinear Covariants......Page 233
7.4 The Photon......Page 236
7.5 The Feynman Rules for Quantum Electrodynamics......Page 239
7.6 Examples......Page 242
7.7 Casimir’s Trick and the Trace Theorems......Page 247
7.8 Cross Sections and Lifetimes......Page 251
7.9 Renormalization......Page 257
References and Notes......Page 261
Problems......Page 262
8.1 Electron-Quark Interactions......Page 268
8.2 Hadron Production in e+e- Scattering......Page 269
8.3 Elastic Electron-Proton Scattering......Page 273
8.4 Inelastic Electron-Proton Scattering......Page 277
8.5 The Parton Model and Bjorken Scaling......Page 280
8.6 Quark Distribution Functions......Page 284
Problems......Page 288
9.1 Feynman Rules for Chromodynamics......Page 290
9.2 The Quark-Quark Interaction......Page 295
9.3 Pair Annihilation in QCD......Page 300
9.4 Asymptotic Freedom......Page 303
9.5 Applications of QCD......Page 306
Problems......Page 307
10.1 Charged Leptonic Weak Interactions......Page 312
10.2 Decay of the Muon......Page 315
10.3 Decay of the Neutron......Page 320
10.4 Decay of the Pion......Page 325
10.5 Charged Weak Interactions of Quarks......Page 328
10.6 Neutral Weak interactions......Page 333
10.7 Electroweak Unification......Page 341
References and Notes......Page 349
Problems......Page 350
11.1 Lagrangian Formulation of Classical Particle Mechanics......Page 354
11.2 Lagrangians in Relativistic Field Theory......Page 355
11.3 Local Gauge lnvariance......Page 359
11.4 Yang-Mills Theory......Page 361
11.5 Chromodynamics......Page 366
11.6 Feynman Rules......Page 368
11.7 The Mass Term......Page 371
11.8 Spontaneous Symmetry-Breaking......Page 373
11.9 The Higgs Mechanism......Page 376
Problems......Page 379
APPENDIX A. The Dirac Delta Function......Page 383
APPENDIX B. Decay Rates and Cross Sections......Page 387
APPENDIX C. Pauli and Dirac Matrices......Page 389
APPENDIX D. Feynman Rules......Page 391
Index......Page 395