Invariance Principles and Elementary Particles

✍ Scribed by Jun John Sakurai

• Publisher: Princeton University Press
• Year: 2015
• Tongue: English
• Leaves: 336
• Series: Princeton Legacy Library; 2228
• Category: Library

✦ Synopsis

J. J. Sakurai's treatment of various elementary particle phenomena, is written for those not completely familiar with field theory who wish to gain insight into theoretical problems. Since the manuscript for his book was completed, a very important development has taken place in particle physics-the discovery of the p, w, and n mesons: in view of this development, the author has added a new section devoted exclusively to these new mesons and resonances.

Originally published in 1964.

The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

✦ Table of Contents

Preface
TABLE OF CONTENTS
CHAPTER 1. Introduction
CHAPTER 2. Continuous Space-Time Transformations
2.1. General Considerations
2.2. Translation Operator and Linear Momentum
2.3. Rotation Operator and Angular Momentum
2.4. Angular Momentum Selection Rules and Spin Tests
2.5. Lorentz Invariance
2.6. The Dirac Equation and Bilinear Covariants
2.7. Covariant Spin Formalism; Helicity and Chirality
CHAPTER 3. Parity
3.1. General Considerations
3.2. n+p Scattering and Phase Shift Analysis
3.3. Intrinsic Parity; to Puzzle
3.4. Multipole Expansion and Photoproduction
3.5. Hyperon Decay
3.6. Tests of Parity Conservation
3.7. Parity in Field Theory
3.8. Beta Decay
CHAPTER 4. Time Reversal
4.1. Classical Physics
4.2. Wigner Time Reversal in Quantum Mechanics
4.3. Scattering and Reaction Theory; Reciprocity Relation, K Matrix
4.4. Time Reversal in Field Theory; "Diracology," Beta Decay
4.5. Rules for Testing Time Reversal Invariance in Decay Processes
CHAPTER 5. Charge Conjugation
5.1. General Considerations
5.2. Charge Conjugation Parity and Selection Rules
5.3. Charge Conjugation in the Dirac Theory
5.4. Quantization and the Spin-Statistics Connection
5.5. Parity, Chirality, and Helicity under Charge Conjugation
5.6. Behavior of Bilinear Covariants under Charge Conjugation
5.7. The Breakdown of Charge Conjugation Invariance in Weak Interactions
CHAPTER 6. Strong Reflection and the CPT Theorem
6.1. Strong Reflection
6.2. Proof of the CPT Theorem (Hamiltonian Formalism)
6.3. CPT and Microcausality
6.4. Consequences of CPT Invariance
6.5. CP Invariance and the Mach Principle
CHAPTER 7. y5 Invariance and Weak Interactions
7.1. Two Component Theory of the Neutrino
7.2. Lepton Conservation and the muB Sequence
7.3. The Form of the Four-Fermion Weak Coupling
7.4. Nuclear Beta Decay
7.5. Universal Fermi Interaction
CHAPTER 8. Gauge Transformations and "Number Laws"
8.1. Gauge Invariance and Charge Conservation in Electrodynamics
8.2. Baryon Conservation
8.3. Superselection Rules; Concept of Charge
8.4. Lepton Conservation
CHAPTER 9. Isospin and Related Topics (S = 0)
9.1. History
9.2. Charge Independence in Pion Physics
9.3. Formal Theory of Isospin Rotations
9.4. Classical Pion Physics
9.5. G Conjugation Invariance; NN Selection Rule, Nucleon Structure
9.6. Isospin and Weak Interactions; Conserved Vector Theory
9.7. Quantum Numbers of p, w and n
CHAPTER 10. Isospin and Related Topics (S y 0)
10.1. History
10.2. Strangeness Scheme
10.3. Charge Independence in Strange Particle Reactions
10.4. Neutral K Particles
10.5. Decay Interactions of Strange Particles
CHAPTER 11. Unsolved Problems
APPENDICES
Appendix A. Useful Tables of Clebsch-Gordan Coefficients
Appendix B. Dirac Matrices
Appendix C. Physical Constants
References
Index