Book contents
- Frontmatter
- Dedication
- Contents
- List of Figures
- List of Tables
- Preface
- Acknowledgments
- Chapter 1 Neutrino Properties and Its Interactions
- Chapter 2 Relativistic Particles and Neutrinos
- Chapter 3 Quantization of Free Particle Fields
- Chapter 4 Interacting Fields and Relativistic Perturbation Theory
- Chapter 5 Phenomenological Theory I: Nuclear β-decays and Weak Interaction of Leptons
- Chapter 6 Phenomenological Theory II: Weak Decays of Hadrons
- Chapter 7 Gauge Field Theories and Fundamental Interactions
- Chapter 8 Unified Theory of Electroweak Interactions
- Chapter 9 Neutrino and Electron Scattering from Point Particles
- Chapter 10 Neutrino scattering Cross Sections from Hadrons: Quasielastic Scattering
- Chapter 11 Neutrino Scattering from Hadrons: Inelastic Scattering (I)
- Chapter 12 Neutrino Scattering from Hadrons: Inelastic Scattering (II)
- Chapter 13 Neutrino Scattering from Hadrons: Deep Inelastic Scattering
- Chapter 14 Weak Quasielastic v(⊽)-nucleus Scattering
- Chapter 15 Inelastic Scattering of (Anti)neutrinos from Nuclei
- Chapter 16 Deep Inelastic Scattering of (Anti)neutrinos from Nuclei
- Chapter 17 Neutrino Sources and Detection of Neutrinos
- Chapter 18 Neutrino Mixing and Oscillations
- Chapter 19 Neutrino Astrophysics and the Synthesis of Elements
- Chapter 20 Neutrino Interactions Beyond the Standard Model
- Appendices
- Appendix A Lorentz Transformation and Covariance of the Dirac Equation
- Appendix B Cabibbo Theory
- Appendix C Some Properties of Pauli and Dirac Matrices and Spin Density Matrices
- Appendix D Leptonic and Hadronic Tensors
- Appendix E General Expression for the Total Scattering Cross Section and Decay Rates
- Appendix F Expressions of N(q2), the Coefficients of the Polarization Observables
- References
- Index
Appendix F - Expressions of N(q2), the Coefficients of the PolarizationObservables
Published online by Cambridge University Press: 22 May 2020
- Frontmatter
- Dedication
- Contents
- List of Figures
- List of Tables
- Preface
- Acknowledgments
- Chapter 1 Neutrino Properties and Its Interactions
- Chapter 2 Relativistic Particles and Neutrinos
- Chapter 3 Quantization of Free Particle Fields
- Chapter 4 Interacting Fields and Relativistic Perturbation Theory
- Chapter 5 Phenomenological Theory I: Nuclear β-decays and Weak Interaction of Leptons
- Chapter 6 Phenomenological Theory II: Weak Decays of Hadrons
- Chapter 7 Gauge Field Theories and Fundamental Interactions
- Chapter 8 Unified Theory of Electroweak Interactions
- Chapter 9 Neutrino and Electron Scattering from Point Particles
- Chapter 10 Neutrino scattering Cross Sections from Hadrons: Quasielastic Scattering
- Chapter 11 Neutrino Scattering from Hadrons: Inelastic Scattering (I)
- Chapter 12 Neutrino Scattering from Hadrons: Inelastic Scattering (II)
- Chapter 13 Neutrino Scattering from Hadrons: Deep Inelastic Scattering
- Chapter 14 Weak Quasielastic v(⊽)-nucleus Scattering
- Chapter 15 Inelastic Scattering of (Anti)neutrinos from Nuclei
- Chapter 16 Deep Inelastic Scattering of (Anti)neutrinos from Nuclei
- Chapter 17 Neutrino Sources and Detection of Neutrinos
- Chapter 18 Neutrino Mixing and Oscillations
- Chapter 19 Neutrino Astrophysics and the Synthesis of Elements
- Chapter 20 Neutrino Interactions Beyond the Standard Model
- Appendices
- Appendix A Lorentz Transformation and Covariance of the Dirac Equation
- Appendix B Cabibbo Theory
- Appendix C Some Properties of Pauli and Dirac Matrices and Spin Density Matrices
- Appendix D Leptonic and Hadronic Tensors
- Appendix E General Expression for the Total Scattering Cross Section and Decay Rates
- Appendix F Expressions of N(q2), the Coefficients of the Polarization Observables
- References
- Index
Summary
Expression of N(q2) inTerms of Mandelstam Variables
The expression of N(q2) isexpressed in terms of the Mandelstam variables and the form factors as:
where (+)− sign represents the (anti)neutrino inducedscattering and the Mandelstam variables are defined as
with
F.2 Expressions ofAh(q2),Bh(q2),andCh(q2)
The expressions Ah(q2), Bh(q2), and Ch(q2) are expressed in terms of theMandelstam variables and the form factors as:
Expressions of and
The expressions Al(q2),Bl(q2), andCl (q2) areexpressed in terms of the Mandelstam variables and the form factors as:
- Type
- Chapter
- Information
- The Physics of Neutrino Interactions , pp. 841 - 846Publisher: Cambridge University PressPrint publication year: 2020