Elementary particle physics is a mature subject, with a wide variety of topics. Size considerations require any text to make choices in the subject matter, and such choices are to a large extent a matter of taste. Each topic in this text has been selected for its accessibility to as wide an audience of interested readers as possible, without any compromise in mathematical sophistication. There are of necessity a lot of formulas, but every one is derived, and an effort has been made to explain the various steps and clever tricks, and how to avoid pitfalls. The text is supplemented by exercises at the end of each chapter. The reader is urged to do the exercises that are designed to increase one's skills in the material. The goal of the book is to bring to undergraduates an ability to enjoy this interesting subject.
Author(s): Lee G. Pondrom
Publisher: World Scientific Publishing
Year: 2022
Language: English
Pages: 550
City: Singapore
Contents
Preface
Chapter 1. Introduction
1.1. Early History
1.2. Symmetries and Conservation Laws
1.3. Charge Independence
1.4. Strange Particles
1.5. Two Neutrinos
1.6. Unitary Symmetry
1.7. Color
1.8. Applications of Unitary Symmetry
1.9. The Neutral K Mesons
1.10. Electron–Positron Storage Rings
1.11. Luminosity
1.12. Natural Units
1.13. Invariant Kinematic Variables
1.14. Basic e−e+ Reactions
1.15. e−e+ Annihilation and the Quark Model
1.16. Quark Masses
1.17. Problems
References
Chapter 2. Special Relativity
2.1. Rotations
2.2. Lorentz Transformations
2.3. Momentum and Energy
2.4. Relativistic Kinematics
2.5. Relativistic Wave Equations
2.6. Dirac’s Equation
2.7. Dirac’s Equation in an Electromagnetic Field
2.8. Lorentz Transformation of Dirac’s Equation
2.9. Gordon Decomposition of the Vector Current
2.10. Charge Conjugation and TCP
2.11. Problems
References
Chapter 3. A Little Field Theory
3.1. Introduction
3.2. Harmonic Oscillator
3.3. Lagrangian Densi
3.4. Quantization of the Field
3.5. Classical Electromagnetic Field
3.6. Four-Dimensional Form
3.7. Quantization of the Electromagnetic Field
3.8. Cross-Section Calculations in Schrödinger’s Quantum Mechanics
3.9. Rutherford Scattering
3.10. Green’s Function for Helmholtz’s Equation
3.11. Time Ordering
3.12. Quantization of the Dirac Field
3.13. Problems
References
Chapter 4. Quantum Electrodynamics
4.1. S and T Matrices
4.2. Transition Rates and Cross-Sections
4.3. e− + e+ → μ− + μ+
4.4. Trace Theorems
4.5. e−e+ → μ−μ+ Cross-Section
4.6. e−μ− → e−μ−
4.7. Feynman Diagrams and Feynman Rules
4.8. Bhabha Scattering e−e+ → e−e+
4.9. e−e− → e−e− Møller Scattering
4.10. Spin Effects
4.11. Compton Scattering γ + e− → γ + e−
4.12. Problems
References
Chapter 5. Electrodynamics with Protons and Neutrons
5.1. Elastic Electron Scattering in the Laboratory Frame
5.2. Electron–Proton Elastic Scattering
5.3. The Rosenbluth Formula
5.4. Electron–Proton Inelastic Scattering
5.5. The Parton Model
5.6. Parton Distribution Functions for Protons and Neutrons
5.7. Problems
References
Chapter 6. Weak Interactions
6.1. Nuclear Beta Decays
6.2. Muon Decay μ− → e− + νμ + νe
6.3. Polarized Muons
6.4. Pion Decay
6.5. Weak Decays of Strange Particles
6.6. Hadrons with Charm and Bottom Quarks
6.7. Problems
References
Chapter 7. Electroweak Phenomenology
7.1. Introduction to Neutrino Scattering
7.2. Neutrino Electron Scattering
7.3. Neutrino Quark Scattering
7.4. W± Intermediate Vector Bosons
7.5. Quark Mixing in Coupling to W±
7.6. Top Quark
7.7. Neutral Currents and Neutrinos
7.8. Z Production and Decay
7.9. Z Production in pp Collisions
7.10. Z Decay Modes
7.11. Problems
References
Chapter 8. Electroweak Theory
8.1. Introduction
8.2. Non-Abelian Gauge Transformations
8.3. The SU(2) × U(1) Lagrangian
8.4. The Higgs Mechanism
8.5. Higgs Couplings
8.6. W Magnetic Moment
8.7. Problems
References
Chapter 9. Heavy Quark Bound States, Mixing, and CP Violation
9.1. Hydrogen Atom
9.2. Positronium
9.3. Other Exotic Coulomb Atoms
9.4. Bound States of Q ¯Q Pairs
9.5. K0 Mixing
9.6. CP Violation for K0, K 0 Mesons
9.7. Mixing and CP Violation in Υ(4S) → BB
9.8. Problems
References
Appendix
A.1. Numerical Constants
A.2. Maxwell’s Equations
A.3. Special Relativity
A.4. Relativistic Kinematics
A.5. Dirac δ Functions
A.6. Phase Space
A.7. Cross-Section and Decay Rate Formulas
A.8. Dirac Electron Theory
A.9. The Feynman Rules
A.10. Trace Theorems
A.11. Spin Effects
References
Index
