Introduction to Elementary Particles

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1 David Criffiths Introduction to Elementary Particles Second, Revised Edition WILEY- VCH WILEY-VCH Verlag GmbH & Co. KGaA

2 Preface to the First Edition IX Preface to the Second Edition XI Formulas and Constants XIII Introduction 1 1 Historical Introduction to the Elementary Particles The Classical ERA ( ) The Photon ( ) Mesons ( ) Antiparticles ( ) Neutrinos ( ) Strange Particles ( ) The EightfoldWay ( ) The Quark Model (1964) The November Revolution and Its Aftermath ( and 1995) Intermediate Vector Bosons (1983) The Standard Model (1978-?) 49 2 Elementary Particle Dynamics The Four Forces Quantum Electrodynamics (QED) Quantum Chromodynamics (QCD) Weak Interactions Neutral Charged Leptons Quarks Weak and Electromagnetic Couplings of W and Decays and Conservation Laws Unification Scheines 84 Introduction to Ekmentary Particles, Seconä Edition. David Griffiths Copyright 2008 WILEY-VCH Verlag GmbH & Co. KGaA. Wcinhcim ISBN: O6O1-2

3 VI 3 Relativistic Kinematics Lorentz Transformations Four-vectors Energy and Momentum Collisions Classical Collisions Relativistic Collisions Examples and Applications Symmetries Symmetries, Groups, and Conservation Laws Angular Momentum Addition of Angular Momenta Spin Flavor Symmetries Discrete Symmetries Parity Charge Conjugation CP Neutral Kaons CP Violation Time Reversal and the TCP Theorem Bound States The Schrödinger Equation Hydrogen Fine Structure The Lamb Shift Hyperfine Splitting Positronium Quarkonium Charmonium Bottomonium Light Quark Mesons Baryons Baryon Wave Functions Magnetic Moments Masses The Feynman Calculus Decays and Scattering Decay Rates Cross Sections The Golden Rule Golden Rule for Decays 204

4 VII Two-particle Decays Golden Rule for Scattering Two-body Scattering in the CM Frame Feynman Rules for a Toy Theory Lifetime of the A A + A - ß + B Scattering Higher-order Diagrams Quantum Electrodynamics The Dirac Equation Solutions to the Dirac Equation Bilinear Covariants The Photon The Feynman Rules for QED Examples Casimir's Trick Cross Sections and Lifetimes Renormalization Electrodynamics and Chromodynamics of Quarks Hadron Production in e + e~ Collisions Elastic Electron-Proton Scattering Feynman Rules For Chromodynamics Color Factors Quark and Antiquark Quark and Quark Pair Annihilation in QCD Asymptotic Freedom Weak Interactions Charged Leptonic Weak Interactions Decay of the Muon Decay of the Neutron Decay of the Pion Charged Weak Interactions of Quarks Neutral Weak Interactions Electroweak Unification Chiral Fermion States Weak Isospin and Hypercharge Electroweak Mixing Cauge Theories Lagrangian Formulation of Classical Particle Mechanics Lagrangians in Relativistic Field Theory Local Gauge Invariance 358

5 VIII 10.4 Yang-Mills Theory Chromodynamics Feynman Rules The Mass Term Spontaneous Symmetry-breaking The Higgs Mechanism Neutrino Oscillations The Solar Neutrino Problem Oscillations Confirmation Neutrino Masses The Mixing Matrix Afterword: What's Next? The Higgs Boson Grand Unification Matter/ Antimatter Asymmetry Supersymmetry, Strings, Extra Dimensions Supersymmetry Strings Dark Matter/Dark Energy Dark Matter Dark Energy Conclusion 417 The Dirac Delta Function 423 B B.l B.1.1 B.2 B.2.1 C C.l C.2 D D.l D.2 D.3 Decay Rates and Cross Sections Decays 429 Two-body Decays 429 Cross Sections 430 Two-body Scattering 430 Pauli and Dirac Matrices 433 Pauli Matrices 433 Dirac Matrices 434 Feynman Rules (Tree Level) 437 External Lines 437 Propagators 437 Vertex Factors 438 Index

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