Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Errata
- 1 Spin and helicity
- 2 The effect of Lorentz and discrete transformations on helicity states, fields and wave functions
- 3 The spin density matrix
- 4 Transition amplitudes
- 5 The observables of a reaction
- 6 The production of polarized hadrons
- 7 The production of polarized e±
- 8 Analysis of polarized states: polarimetry
- 9 Electroweak interactions
- 10 Quantum chromodynamics: spin in the world of massless partons
- 11 The spin of the nucleon: polarized deep inelastic scattering
- 12 Two-spin and parity-violating single-spin asymmetries at large scale
- 13 One-particle inclusive transverse single-spin asymmetries
- 14 Elastic scattering at high energies
- Appendix 1 The irreducible representation matrices for the rotation group and the rotation functions djλμ(θ)
- Appendix 2 Homogeneous Lorentz transformations and their representations
- Appendix 3 Spin properties of fields and wave equations
- Appendix 4 Transversity amplitudes
- Appendix 5 Common notations for helicity amplitudes
- Appendix 6 The coefficients Alʹmʹ(lm)
- Appendix 7 The coefficients Clm;lʹmʹl1m1;lʹ1mʹ1
- Appendix 8 Symmetry properties of the Cartesian reaction parameters
- Appendix 9 'Shorthand' notation and nomenclature for the Argonne Lab reaction parameters
- Appendix 10 The linearly independent reaction parameters for various reactions and their relation to the helicity amplitudes
- Appendix 11 The Feynman rules for QCD
- Appendix 12 Dirac spinors and matrix elements
- References
- Index
Appendix 12 - Dirac spinors and matrix elements
Published online by Cambridge University Press: 13 July 2023
- Frontmatter
- Dedication
- Contents
- Preface
- Errata
- 1 Spin and helicity
- 2 The effect of Lorentz and discrete transformations on helicity states, fields and wave functions
- 3 The spin density matrix
- 4 Transition amplitudes
- 5 The observables of a reaction
- 6 The production of polarized hadrons
- 7 The production of polarized e±
- 8 Analysis of polarized states: polarimetry
- 9 Electroweak interactions
- 10 Quantum chromodynamics: spin in the world of massless partons
- 11 The spin of the nucleon: polarized deep inelastic scattering
- 12 Two-spin and parity-violating single-spin asymmetries at large scale
- 13 One-particle inclusive transverse single-spin asymmetries
- 14 Elastic scattering at high energies
- Appendix 1 The irreducible representation matrices for the rotation group and the rotation functions djλμ(θ)
- Appendix 2 Homogeneous Lorentz transformations and their representations
- Appendix 3 Spin properties of fields and wave equations
- Appendix 4 Transversity amplitudes
- Appendix 5 Common notations for helicity amplitudes
- Appendix 6 The coefficients Alʹmʹ(lm)
- Appendix 7 The coefficients Clm;lʹmʹl1m1;lʹ1mʹ1
- Appendix 8 Symmetry properties of the Cartesian reaction parameters
- Appendix 9 'Shorthand' notation and nomenclature for the Argonne Lab reaction parameters
- Appendix 10 The linearly independent reaction parameters for various reactions and their relation to the helicity amplitudes
- Appendix 11 The Feynman rules for QCD
- Appendix 12 Dirac spinors and matrix elements
- References
- Index
Summary
- Type
- Chapter
- Information
- Spin in Particle Physics , pp. 476 - 484Publisher: Cambridge University PressPrint publication year: 2023
- Creative Commons
- This content is Open Access and distributed under the terms of the Creative Commons Attribution licence CC-BY-NC-ND 4.0 https://creativecommons.org/cclicenses/