Photon-hadron Interactions

In these classic lectures, Feynman analyses the theoretical questions related to electron and photon interactions at high energies. These lectures are based on a special topics course taught by Feynman at Caltech in 1971 and 1972. The material is dealt with on an advanced level and includes discussions of vector meson dominance and deep inelastic scattering. The possible consequences of the parton model are also analyzed.

Richard P. Feynman was raised in Far Rockaway, New York, and received his Ph.D. from Princeton. He held professorships at both Cornell and the California Institute of Technology. In 1965 he received the Nobel Prize for his work on quantum electrodynamics. He died in 1988.

Editor's Foreword

v

(2)

Special Preface

vii

(1)

Vita

viii

(6)

Preface

xiv

1-5 GENERAL THEORETICAL BACKGROUND

3

(28)

First Order Coupling

5

(1)

Conservation of Current

6

(1)

2nd Order Coupling

7

(1)

Unitarity 2nd Order

8

(2)

Proof

10

(2)

End of Proof

12

(1)

Research Problem

13

(1)

Conservation of Current

14

(1)

Remark

15

(1)

Isotopic Spin, Strangeness, Generalized Currents

16

(2)

Conservation of Generalized Currents

18

(3)

Singularities on the Light Cone

21

(1)

Vacuum Expectation of V MuUpsilon(1,2)

22

(1)

e(+) + e(-) XXX Any Hadrons

23

(5)

Note: Annoying Point

28

(1)

Commutator

29

(1)

Problems

30

(1)

6-8 LOW ENERGY PHOTON REACTIONS

31

(11)

Pion Photoproduction Low Energy (0 to 2GeV)

31

(4)

Problem

35

(3)

Note

38

(4)

8-10 QUARK MODEL OF RESONANCES

42

(18)

The Quark Model

42

(2)

Note

44

(5)

Problem

49

(1)

Calculation of Matrix Elements

50

(1)

Feynman, Kislinger and Ravndal, Phys. Rev. (1971)

51

(9)

11-12 PSEUDOSCALAR MESON PHOTOPRODUCTION, HIGH ENERGY

60

(11)

Pseudoscalar Meson Photoproduction--Higher Energies

60

(1)

References

60

(11)

13-14 t-CHANNEL EXCHANGE PHENOMENA

71

(11)

t-Channel Exchange Phenomena

71

(4)

Comments

75

(1)

s-Channel Resonances

76

(2)

Veneziano Formula

78

(1)

Estimates of Coupling Constants

79

(3)

14-21 VECTOR MESONS AND VECTOR MESON DOMINANCE HYPOTHESIS

82

(32)

Properties of Vector Mesons

82

(1)

Electron Production of Vector Mesons

82

(7)

Vector Meson Dominance Model

89

(5)

Phi as ss (XXX)

94

(2)

VDM and Photon Hadron Interactions

96

(6)

Diffractive Production of Pho, Omega, Phi

102

(6)

Other Tests of VDM

108

(1)

Shadowing in Nuclei

109

(4)

To Summarize the Position of VDM

113

(1)

22-24 ELECTROMAGNETIC FORM FACTORS

114

(11)

Electromagnetic Form Factors

114

(1)

Nucleon

114

(1)

In Lab

115

(1)

Electromagnetic Form Factors (continued)

116

(2)

Pion Form Factor

118

(3)

Proton Form Factor for Positive q(2)

121

(1)

Note

122

(3)

25-26 ELECTRON-PROTON SCATTERING. DEEP INELASTIC REGION

125

(7)

Other Photon Processes for q(2) less than 0

125

(1)

Inelastic Electron Nucleon Scattering

126

(2)

Inelastic Electron Nucleon Scattering (continued)

128

(2)

Theory of the Inelastic Electron Proton Scattering

130

(2)

26-33 PARTON MODEL

132

(28)

Parton Model

132

(2)

Parton Model (continued)

134

(2)

The Wee Region

136

(4)

The Region Near x = 1

140

(3)

The Region -q(2) Large M(2)(X) Finite Resonances

143

(2)

Argument that Gamma(1) = Gamma(x)

145

(2)

General Remark about the Power Law (q(2))(-Gamma)

147

(1)

Partons as Quarks

147

(4)

Momentum Carried by the Quarks

151

(1)

Models

152

(1)

Future Tests of Charged Partons = Quarks

153

(2)

Deep Inelastic Scattering with Spin

155

(5)

34-35 TESTS OF THE PARTON MODEL

160

(7)

Angular Momentum in Parton Wave Functions

160

(1)

Other Experiments Testing Parton Idea (Drell)

160

(2)

p + p XXX Mu(+)Mu(-) + Anything (continued)

162

(1)

Electron Pair Production of Hadrons

163

(4)

36-37 INELASTIC SCATTERING AS PROPERTIES OF OPERATORS

167

(11)

Inelastic e p Scattering as Properties of Operators

167

(4)

Properties of Operators (continued)

171

(7)

38 LIGHT CONE ALGEBRA

178

(4)

Light Cone Algebra

178

(4)

39-41 PROPERTIES OF COMMUTATORS IN MOMENTUM SPACE

182

(17)

Properties of Commutators in Momentum Space

182

(3)

Region I

185

(2)

Bose or Fermi Quarks

187

(1)

Region II

188

(1)

Region III

188

(2)

Scattering in the Deser, Gilbert, Sudarshan Representation

190

(9)

42-47 ELECTROMAGNETIC SELF ENERGY

199

(22)

Electromagnetic Self Energy

199

(3)

Cottingham Formula

202

(3)

Expression for Self Energy in Terms of W Only

205

(1)

Other Electromagnetic Energies, Quark Model (continued)

206

(2)

Electromagnetic Self Mass, Quark Model (continued)

208

(3)

I = 2 Mass Differences

211

(1)

Further Comments on Electromagnetic Mass Differences

212

(3)

Compton Effect Gamma p XXX Gamma p or Gamma n XXX Gamma n

215

(2)

Compton Effect for Very Small Q, Upsilon

217

(2)

Forward Compton Scattering from Non-Relativistic Schroedinger Equation

219

(2)

48-49 OTHER TWO-CURRENT EFFECTS

221

(8)

Other Quantities Involving T Mu Upsilon

221

(4)

Other Two-Current Effects

225

(4)

50-51 HYPOTHESES IN THE PARTON MODEL

229

(8)

Hypotheses in the Parton Model

229

(1)

General Framework

230

(2)

Hypotheses in the Parton Model (continued)

232

(5)

52-54 HADRON-HADRON COLLISIONS AT EXTREME ENERGIES

237

(13)

Hadron-Hadron Collisions at Extreme Energies

237

(4)

Hadron-Hadron Collisions at Extreme Energies (continued)

241

(4)

High Energy Hadron-Hadron Collisions (continued)

245

(5)

55 FINAL HADRONIC STATES IN DEEP INELASTIC SCATTERING

250

(9)

Interaction of Partons with the Electromagnetic Field

250

(6)

Region of Finite q(2), Upsilon XXX Omicron

256

(2)

Continuity of Large q(2) and Small x Region

258

(1)

56-57 PARTONS AS QUARKS

259

(12)

Partons as Quarks

259

(4)

Partons as Quarks (continued)

263

(1)

Product Predictions

264

(7)

APPENDIX A

271

(5)

The Isospin of Quark Fragmentation Products

271

(5)

APPENDIX B

276

(3)

A Test of Partons as Quarks

276

(3)

INDEX

279

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Photon-hadron Interactions

Summary

Author Biography

Table of Contents

Supplemental Materials