# Subnuclear Phenomena Part A

## 1st Edition

**Editors:**A Zichichi

**eBook ISBN:**9780323154802

**Imprint:**Academic Press

**Published Date:**1st January 1970

**Page Count:**348

## Description

Subnuclear Phenomena, Part A is the first part of the compilation of the proceedings of the seventh Course of the International School of Physics, held in July 1969 in Erice, Italy. The said program is focused on the analyticity and algebraic properties in particle physics. Topics covered in the book include inelastic electron scattering; multiperipheral dynamics; duality and exchange degeneracy; anomalies of currents in Spinor field theories; the quark model and its developments; and the Efimov-Fradkin method in nonlinear field theory. The book also covers other areas such as the normalization of the wave function; causality and relativity; and the Feynman-Wheeler electrodynamics. The text is recommended for physicists, especially those interested in the further study of particle physics.

## Table of Contents

Contents

Part A

Contributors

Foreword

Opening Ceremony

Theoritical Lectures

S. D. Drell: Inelastic Electron Scattering, Asymptotic Behavior, and Sum Rules

Inelastic Electron Scattering, Asymptotic Behavior, and Sum Rules

References

Discussion 1

Discussion 2

Discussion 3

Discussion 4

M. L. Goldberger: Multiperipheral Dynamics

1. Introduction

2. The ABFST model

2.1. Forward Scattering

2.2. Variational Principle

2.3. Nonforward Scattering

3. The Multi-Regge Model

References

Discussion 1

Discussion 2

Discussion 3

C. Schmid: Duality and Exchange Degeneracy

1. Duality

References (Section 1)

2. Exchange Degeneracy

2.1. No Majorana exchange forces: exchange degeneracy

2.2. Exchange degeneracy and FESR duality

2.3. Experimental test: exchange degeneracy of Y

*'s in KN-KN*

2.4. The Regge Phase

2.5. Exchange Degeneracy at t = 0

2.6. Exchange degeneracy for t < 0, or u< 0

2.7. Generalized Exchange Degeneracy

2.8. Incompatibility in Baryon-Antibaryon Scattering

2.9. Symmetry Predictions

2.10. Meson-Baryon Scattering, F/D ratios

References (Section 2)

H. J. Schnitzer: Hard Pions - A Phenomenological Approach to Current Algebra

1. Introduction

2. Soft-Pion Theorems

3. Two- and Three-Point Functions

3.1. Two-Point Functions

3.2. Three-Point Functions

3.3. Models and Phenomenological Lagrangians

4. Four-Point Functions

4.1. General Procedure

4.2. Models and Phenomenological Lagrangians

5. Radiative Corrections

5.1. π-π0 Mass Difference

5.2. Space-Space Commutators

6. General Solution of Ward Identities

References

Discussion 1

Discussion 2

B. Zumino: Anomalies of Currents in Spinor Field Theories

Anomalies of Currents in Spinor Field Theories

References

Discussion

W. Thirring: Some Developments of the Quark Model

1. Background

2. The Three-Quark System

3. Baryon Resonances

References

Discussion 1

Discussion 2

Discussion 3

G. Preparata: A Relativistic Quark Model

1. Introduction

2. The Model

2.1. The Quark Propagator

2.2. The Bethe-Salpeter Equation

2.3. The Schrodinger-Like Equation

3. Ghosts

4. Harmonic Approximation

5. Nonet Symmetry

6. Antibootstrap

7. Conclusions

Reference

Discussion

B. Zumino: The Efimov-Fradkin Method in Nonlinear Field Theory

The Efimov-Fradkin Method in Nonlinear Field Theory

References

Discussion

P. Menotti: Normalization of the Wave Function and the Nonrelativistic Limit in the Bethe-Salpeter Equation

1. Introduction

2. The Bethe-Salpeter Equation

3. Relation Between the Wave Function and its Adjoint

4. Normalization of the bound-state Wave Function

5. The Nonrelativistic Limit

References

S. Coleman: Acausality

1. Introduction

2. Causality and Relativity

Reference (Section 2)

3. Classical Electron Theory: A Causal Theory?

4. Feynman-Wheeler Electrodynamics: An Apparently Acausal Theory that is not Reference (Section 4)

5. How Classical Electron Theory Becomes Acausal

References (Section 5)

6. The wrong Klein-Gordon Equation

7. Bludman-Ruderman Matter

Reference (Section 7)

8. Godel Space

Reference (Section 8)

9. Lee-Wick Electrodynamics: Foundations

References (Section 9)

10. Lee-Wick Electrodynamics: A Causality

11. Paradoxical Speculations

Appendix I. Notational Conventions

Appendix II. The Self-Field of an Electron

Appendix III. The Velocity of Sound

Acknowledgments

Discussion 1

Discussion 2

Discussion 3

Part B Review Lectures

S. Glashow: A Guide to Weak Interactions

1. Introduction

2. Leptonic Weak Interactions

2.1. The Phenomenological Model

2.2. Effects of the Intermediate Boson

3. Semileptonic Interactions

3.1. Neutral Currents

3.2. Selection Rules for the Charged Currents

3.3. Structure of the Hadron Current

3.4. Comparison with Experiments

3.5. Some Theoretical Comments

4. Nonleptonic Decays

4.1. Introduction

4.2. Evidence for the Nonleptonic ∆∕ = ½ rule

4.3. Explaining the ∆∕ = ½ rule

4.4. Violating CP

References

Discussion 1

Discussion 2

Discussion 3

R. A. Salmeron: Baryon Resonances

1. General Notions and Experimental Methods

l.l. Introduction

1.2. Notations

1.3. List of Known Baryon Resonances and of Candidates

1.4. Types of Experiments for the Study of Resonances

1.5. Production Experiments

1.6. Total Cross-Section Experiments

1.7. Short Review of Partial Wave Analysis

1.8. Scattering of two Spinless Particles

1.9. Scattering of a Spin 0 Particle on a Spin ½ Particle

l.lO. The Breit-Wigner Formula

1.11. The Argand Diagram for the Partial Wave Amplitude

1.12. Elastic, Reaction and Total Cross-Sections

1.13. Problems Arising in the Practical Use of Phase-Shift Analysis

References (Section 1)

2. Nucleon resonances

2.1. Phase-shift Analyses

2.2. Production Experiments

References (Section 2)

3. Strange Baryon Resonances with S = — 1 (∆, Σ, or Y)

2.4. The Regge Phase

2.5. Exchange Degeneracy at t = 0

2.6. Exchange degeneracy for t < 0, or u< 0

2.7. Generalized Exchange Degeneracy

2.8. Incompatibility in Baryon-Antibaryon Scattering

2.9. Symmetry Predictions

2.10. Meson-Baryon Scattering, F/D ratios

References (Section 2)

H. J. Schnitzer: Hard Pions - A Phenomenological Approach to Current Algebra

1. Introduction

2. Soft-Pion Theorems

3. Two- and Three-Point Functions

3.1. Two-Point Functions

3.2. Three-Point Functions

3.3. Models and Phenomenological Lagrangians

4. Four-Point Functions

4.1. General Procedure

4.2. Models and Phenomenological Lagrangians

5. Radiative Corrections

5.1. π-π0 Mass Difference

5.2. Space-Space Commutators

6. General Solution of Ward Identities

References

Discussion 1

Discussion 2

B. Zumino: Anomalies of Currents in Spinor Field Theories

Anomalies of Currents in Spinor Field Theories

References

Discussion

W. Thirring: Some Developments of the Quark Model

1. Background

2. The Three-Quark System

3. Baryon Resonances

References

Discussion 1

Discussion 2

Discussion 3

G. Preparata: A Relativistic Quark Model

1. Introduction

2. The Model

2.1. The Quark Propagator

2.2. The Bethe-Salpeter Equation

2.3. The Schrodinger-Like Equation

3. Ghosts

4. Harmonic Approximation

5. Nonet Symmetry

6. Antibootstrap

7. Conclusions

Reference

Discussion

B. Zumino: The Efimov-Fradkin Method in Nonlinear Field Theory

The Efimov-Fradkin Method in Nonlinear Field Theory

References

Discussion

P. Menotti: Normalization of the Wave Function and the Nonrelativistic Limit in the Bethe-Salpeter Equation

1. Introduction

2. The Bethe-Salpeter Equation

3. Relation Between the Wave Function and its Adjoint

4. Normalization of the bound-state Wave Function

5. The Nonrelativistic Limit

References

S. Coleman: Acausality

1. Introduction

2. Causality and Relativity

Reference (Section 2)

3. Classical Electron Theory: A Causal Theory?

4. Feynman-Wheeler Electrodynamics: An Apparently Acausal Theory that is not Reference (Section 4)

5. How Classical Electron Theory Becomes Acausal

References (Section 5)

6. The wrong Klein-Gordon Equation

7. Bludman-Ruderman Matter

Reference (Section 7)

8. Godel Space

Reference (Section 8)

9. Lee-Wick Electrodynamics: Foundations

References (Section 9)

10. Lee-Wick Electrodynamics: A Causality

11. Paradoxical Speculations

Appendix I. Notational Conventions

Appendix II. The Self-Field of an Electron

Appendix III. The Velocity of Sound

Acknowledgments

Discussion 1

Discussion 2

Discussion 3

Part B Review Lectures

S. Glashow: A Guide to Weak Interactions

1. Introduction

2. Leptonic Weak Interactions

2.1. The Phenomenological Model

2.2. Effects of the Intermediate Boson

3. Semileptonic Interactions

3.1. Neutral Currents

3.2. Selection Rules for the Charged Currents

3.3. Structure of the Hadron Current

3.4. Comparison with Experiments

3.5. Some Theoretical Comments

4. Nonleptonic Decays

4.1. Introduction

4.2. Evidence for the Nonleptonic ∆∕ = ½ rule

4.3. Explaining the ∆∕ = ½ rule

4.4. Violating CP

References

Discussion 1

Discussion 2

Discussion 3

R. A. Salmeron: Baryon Resonances

1. General Notions and Experimental Methods

l.l. Introduction

1.2. Notations

1.3. List of Known Baryon Resonances and of Candidates

1.4. Types of Experiments for the Study of Resonances

1.5. Production Experiments

1.6. Total Cross-Section Experiments

1.7. Short Review of Partial Wave Analysis

1.8. Scattering of two Spinless Particles

1.9. Scattering of a Spin 0 Particle on a Spin ½ Particle

l.lO. The Breit-Wigner Formula

1.11. The Argand Diagram for the Partial Wave Amplitude

1.12. Elastic, Reaction and Total Cross-Sections

1.13. Problems Arising in the Practical Use of Phase-Shift Analysis

References (Section 1)

2. Nucleon resonances

2.1. Phase-shift Analyses

2.2. Production Experiments

References (Section 2)

3. Strange Baryon Resonances with S = — 1 (∆, Σ, or Y

3.1. Introduction

3.2. Total Cross-Section Experiments (counters)

3.3. Partial Wave Analyses

3.4. Production Experiments. New candidates

References (Section 3)

4. Strange Baryon Resonances with S=—2 (Ξ

*S)*

4.1. Introduction

4.2. Situation of the Well-Established Resonances

4.3. Recent Candidates

4.4. Final Remark on ΞS

4.1. Introduction

4.2. Situation of the Well-Established Resonances

4.3. Recent Candidates

4.4. Final Remark on Ξ

References (Section 4)

5. Strange baryon resonances with S = + 1 ? (Z*'s)

5.1. Introduction

5.2. Total Cross-Section Experiments

5.3. Phase-Shift Analysis Experiments

5.4. Production Rxperiments

References (Section 5)

6. Baryon Resonances and SU3

6.1. Introduction

6.2. Singlets and Decuplets

6.3. Octets

Acknowledgments

References (Section 6)

Discussion 1

Discussion 2

Discussion 3

Discussion 4

M. Cresti: Meson Resonances

1. Introduction

2. The A-mesons and the Mssing-mass Spectroscopy

3. The KKπ and Yππ Final States

4. The Kπ and Kππ Final States

References

Discussion 1

Discussion 2

S. Ratti: Inelastic Collisions of Hadrons 540

1. Introduction

2. The « Quasitwo-body » Collisions

2.1. The One-pion Exchange Model

2.2. Regge Poles

3. Other Inelastic Channels

4. The Quark Model

4.1. Total Cross-Sections for two-body Reactions Without Strangeness Exchange

4.2. Differential Cross-Sections for Two-Body Reactions Without Strangeness Exchange

4.3. Decay Angular Distributions

5. Reactions Producing Three Final Particles

5.1. Double Peripheral Models

5.2. Double Regge Pole (DRP) Model

5.3. Comparison With Experimental Data

5.4. Comparison of Two-Body and Three-Body Reactions

6. Multiparticle production

6.1. General Aspects

6.2. CLA Model

6.3. Comparison With Experiments

7. Recent Results at the Serpukov Accelerator

7.1. Total Cross-Sections

7.2. General Characteristics of Inelastic High-Energy Collisions

7.3. Coherent Production of Pions

8. Conclusions

Acknowledgments

References

Discussion

G. Morpurgo: The Present Status of the Search for Quarks

1. Introduction

2. Accelerator experiments

3. Calculations of the quark production cross-section

4. Cosmic-ray experiments

5. Stimulated fission

6. Search for quarks in terrestrial matter

References

Seminars on Specialized Topics

A. Berthelot: The Large Hydrogen Bubble Chamber « Mirabelle »

1. Introduction

2. The Chamber Body

3. The Expansion System

4. Cryogenics

5. The Magnetic Field

6. Optics

7. Light

8. The Time Schedule for the Program

9. Scanning and Measurement

Acknowledgments

W. F. Fry: Physics of Ke4 Decays

1. Introduction

2. Simple theory

3. Experiments

3.1. Branching Ratio of Ke4 Decay

3.2. Test of the ∆S = ∆Q rule

3.3. Form Factors

References

Closing Lecture

M. L. Goldberger: Fifteen Years in the Life of Dispersion Theory

Fifteen Years in the Life of Dispersion Theory

References

Closing Ceremony

Participants

## Details

- No. of pages:
- 348

- Language:
- English

- Copyright:
- © Academic Press 1970

- Published:
- 1st January 1970

- Imprint:
- Academic Press

- eBook ISBN:
- 9780323154802