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II

BIBLIOGRAPHICAL REFERENCES
TO THE ISSP

II

THE SUBNUCLEAR SERIES

DETAILED CONTENTS

1963 — INTERNATIONAL SCHOOL OF SUBNUCLEAR PHYSICS

Strong, Electromagnetic, and Weak Interactions

CONTENTS

Lectures

J.S. BELL Theoretical introduction 1

T. REGGE Topics on non-relativistic potential scattering 63

L. VAN HOVE Inelastic collisions and shadow scattering of strongly-interacting particles at high energy 85

H. RARARI Particles and resonances from the unitary symmetry point of view 93

G. PUPPI Pionic resonances 101

S.M. BERMAN Weak interactions 133

N. CABIBBO Leptonic decays and the unitary symmetry 191

Seminars

Y. GOLDSCHMIDT-CLERMONT

Elastic scattering, polarization and inelastic collisions of antiprotons on protons at 3 and 3.6 GeV/c 203

G. GIACOMELLI p± – p and p- p elastic scattering at high energies 231

V. SILVESTRINI Photoproduction and neutral decay modes of the h particle 243

R. WEINSTEIN m pair production 267

R. DIEBOLD Radiative muon capture in Ca40 271

List of participants 281

1964 — INTERNATIONAL SCHOOL OF SUBNUCLEAR PHYSICS

Symmetries in Elementary Particle Physics

CONTENTS

Opening Speech

G. BERNARDINI La fisica ed il progresso del pensiero scientifico attraverso i secoli 2

Lectures

P. KABIR Symmetry principles in particles physics 11

I: Invariance in quantum theory 11

1 Superselection rules 13

2 Generators of continuous transformations 14

3 Inhomogeneous Euclidean group 21

4 Four-dimensional rotations 22

5 Lorentz transformations 23

6 Inhomogeneous Lorentz group 24

7 Relation to usual spin description 26

II: Discrete symmetry operations 27

1 Charge conjugation 33

2 G parity 36

3 Time reversal 36

4 TCP theorem 39

III: The Yang-Mills field 41

Bibliography 48

S.M. BERMAN Elements of SU3 49

I: Introduction and basic ideas 49

The unitary group Un 54

U2 and SU2 56

SU3 57

II: Properties of SU3 representations 61

III: Degeneracy and tensorial methods 70

IV: The matrices for baryons and mesons and Yukawa couplings 79

V: The mass formula: medium strong splittings 85

VI: The electromagnetic mass splittings 94

VII: Decimet decay widths and summary 102

1 Multiplet structure 107

2 Strong mass formula 109

3 Electromagnetic mass formula 109

4 Decay widths – (10 ® 8 + 8) 109

References 110

R.P. FEYNMAN Consequences of SU3 symmetry in weak interactions 111

1st lecture: Introduction 111

Form of the four-fermion weak interaction 112

Parity non-conservation 113

Strong interaction modification of weak decay matrix elements and the conserved vector current theory 114

Electromagnetic corrections to weak interaction matrix elements 117

2nd lecture: Strangeness changing weak decays 120

The current-current theory 122

Pion decay 124

3rd lecture: Introduction to SU3 138

Sum rules for mass splittings 141

Octet operators 142

Reduction of the direct product of two octets 144

4th lecture: Couplings of the baryons and mesons 150

SU3 in the weak interaction 151

Universality and the strangeness changing decays 152

Comparison of the Cabibbo theory with experiment 154

Determination of the axial vector current F/D ratio 144

5th lecture: Generalization of the Goldberger-Treiman relation 158

Treiman relation 158

Leptic decays 159

Non-leptic decays 160

Tests of the DI = ½ rule 161

6th lecture: Attempts to deduce the DI = ½ rule 165

weak decay data summary 171

R. GATTO: Vector and axial currents under first order symmetry breaking 175

I: The current octets 176

II: First class and second class amplitudes 176

III: Charge conjugation on an octet 177

IV: First order symmetry breaking 177

V: Restrinctions following from charge conjugation 179

VI: First class covariants 181

VII: Second class covariants 182

VIII: First class amplitudes for leptonic decays 182

IX: Second class amplitudes for leptonic decays 183

X: Electromagnetic amplitudes 184

First class electromagnetic amplitudes 184

Second class electromagnetic amplitudes 185

XI: A non-renormalization theorem for the vector current octet 185

XII: Bosons 188

XIII: Currents with indefinite charge conjugation 190

References 191

G. ZWEIG Fractionally charged particles and SU6 196

I: The Sakata model and its modification 192

II: The Ace model 197

III: A symmetry higher than SU3 219

References 234

P. TARJANNE SU4 235

I: Representations of SU4 236

1 Sakata model 236

2 Ace model 236

3 Eightfold way 236

II: Mass formulae 238

III: Weak interactions 240

References 243

L.C. BIEDENHARN Some properties of the Sun representation 244

Suggested bibliography 255

N. CABIBBO Possible consequences of the ® p + p- decay 256

I: Phenomenology of K decays (an outline) 256

1 K 2p 256

2 K 3p 258

3 Leptonic decays 260

II: The K0 - the system 265

1 Decays and mass difference 265

2 Regeneration in matter 271

III: Are K0’s an isolated system? 273

1 Reality character 275

2 Consequences of reality character 275

3 Consequences of tensor character 277

IV: CP violation in decays 279

1 ® 2 p decays, regeneration in matter 279

2 Ratio of leptonic decays in , R 282

3 If CP is violated, how strongly so? 282

4 Decay into 3 p 284

V: CP violation in weak interactions, leptonic decays 286

Appendix – CP invariance and SU3 291

References 292

Seminars

J. ASKIN Methods for assigning spin and parity to baryon resonances 293

I: Determination of the spin and parity of baryon resonances. Method of Byers and Fenster 293

Decay from a particular spin state of the g* 294

II: Decay from a statistical mixture of spin states; density matrices for g* and g 298

IV: Angular distribution of the polarization of g 303

1 Longitudinal polarization 304

2 Transverse polarization 304

V: Lorentz frames in which to measure the decay of g* and g 305

VI: Restrictions of the 307

VII: Summary of procedure for spin parity determination 309

VIII: Background interference 309

References 310

G. BERNARDINI General review of neutrino physics 311

Separation of events into elastic and inelastic 319

Recognition of elastic events 321

The inelastic events 327

To what level can we say that nm ¹ ne 328

Neutral currents 329

W: intermediate vector bosons 330

References 340

M.M. BLOCK: Future experiments in neutrino physics

C. CONFORTO: Measurement of the angular correlation of electrons relative to a spin in L0 - b decay 360

B.A. SHERWOOD: Momentum spectrum of positrons from muon decay 365

Discussions

Led by R.P. FEYNMAN 368

Discussion I 368

Discussion II 375

Discussion III 379

Discussion IV 384

Discussion V 389

Discussion VI 394

Closing Lecture

R.P. FEYNMAN: Present status of strong electromagnetic and weak interactions 398

I: basic physics 398

II: Conservation laws 400

III: Existential questions 404

IV: The question of dynamics 409

V: Advice for the future 413

1965 — INTERNATIONAL SCHOOL OF SUBNUCLEAR PHYSICS

Recent Developments in Particle Symmetries

CONTENTS

Opening Ceremony

A. ZICHICHI Discorso inaugurale 2

A. SAVALLI Parole di benvenuto 10

A. PAIS Invited speech 11

Lectures

A. PAIS Higher Symmetries 13

I: Introduction about unitary symmetry 13

II: Useful tools 17

III: SU(6) with applications 24

IV: SU(6,6) and subgroups 32

IV.1: The subgroup SU(6)W of SU(6,6) 42

D.H. SHARP Deviations from unitary symmetry 47

I: Introduction 47

II: Bootstrap theory of octet enhancement 49

1 Basic ideas of octet enhancement 49

2 General features of the bootstrap theory of octet enhancement 56

III: S matrix perturbation theory 62

1 Introduction 62

2 First-order equations for mass and coupling constant shifts in potential theory 63

3 First-order mass and coupling constant shifts in relativistic scattering theory 70

4 Perturbation formulae for multi-channel scattering problem 77

IV: Octet enhancement in the B and D supermultiplets 81

1 Introduction 81

2 Bootstrap theory and the parity non-conserving hyperon decays 83

3 Survey of results on octet enhancement in the B and D supermultiplets 89

References 101

N. CABIBBO Broken symmetries and sum rules 104

Introduction 104

I: Exact internal symmetry 105

II: Broken symmetries 107

III: The Adler-Weisberger sum rule 119

IV: Saturation of commutation relations and particle multiplets 129

V: A possible algebra of currents 132

J.S. BELL Difficulties of relativistic U(6) 138

I: Non-covariant models 139

1 U(6) 139

2 SU(2) – content 140

3 Boosting 142

4 Spin independence in the centre-of-mass system 144

II: Covariant models 146

1 U(12) and (12) 146

2 U(6) ´ U(6) 148

3 UW(6) 150

4 U(3) ´ U(3) 151

5 Inhomogeneous (12) or (12) ´ T1 4 3 152

6 Inhomogeneous CL (6, c) 154

III: Coleman’s theorems 155

1 The statement 155

2 First theorem 157

3 Second theorem 159

IV: Unitary 166

1 General remarks 166

2 Quark-scalar scattering 167

3 Quark-quark and quark-antiquark elastic scattering in

(12) ´ T1 4 3 or U(3) ´ U(3) 170

J. PRENTKI CP violation 176

I: Introduction 176

II: General remarks 179

III: Weak interactions 193

References 202

J. STEINBERGER CP violation and K decay 205

I: K-decay 205

1 K-decay modes and branching ratios 205

2 Notation and superposition principle 206

3 CPT invariance 208

4 CP invariance 210

5 Experiments on K ® 2p decay 210

II: Interference of KS and KL in 2p decay 213

1 (KL – KS ) mass difference experiments 213

2 Interference in KS, KL 2p decays 217

3 K leptonic decay and CP violation 220

III: CP violation and the DS = DQ rule in K02 leptonic decay 222

1 K ® 3p 226

IV: Unitary and p2 – q2 228

1 Isospin analysis of the 2p decay node 230

References 234

Figure Captions 236

P. FRANZINI Proton-antiproton annihilation at rest 248

I: Introduction 248

II: The statistical model 249

III: Phenomenological analysis of some final state in annihilation at rest 251

1 The reaction ® 3p 252

1 The reaction ® w p+ p- 252

1 The reaction ® K + + p 252

1 Summary 261

IV: Partial rates for annihilation into two and three mesons 261

V: A direct test of charge conjugation invariance in proton-antiproton annihilation at rest 263

References 268

L.A. RADICATI Closing Lecture – The significance of internal symmetries 275

1 The hierarchy of internal symmetries 275

2 The well-ordered violation of internal symmetries 278

3 The relation of internal and geometrical symmetries: Wigner’s theory of nuclear supermultiplets 280

4 The combination of internal and geometrical symmetries in the physics of elementary particles 281

5 An outlook 285

References 286

Seminars

G.A. SNOW Low-energy hyperon-proton interactions 288

References 296

S. FOCARDI Strange resonances 298

I: Introduction 298

1.1 K* (1400) 299

1.2 K** (1320) 300

2 Mesonic resonances with strangeness + 2 301

3 Baryonic resonances 302

3.1 (1942), Y* (2097) and Y* (2299) 302

3.2 X* (1933) 302

3.3 A Y* with I=2 303

References 307

V.P. HENRY Invited discussion following the Focardi lecture 318

References 320

U. MEYER-BERKHOUT Current experiments at DESY 323

Introduction 323

I: Current experimental programme 323

II: Preliminary experimental results 328

1 Bubble-chamber work 329

2 search for the heavy electron in the mass range between o.5 and 1.0 Gev 337

3 Electroproduction of pions and photoproduction of dipions 342

3.1 Electroproduction of pions 342

3.2 Photoproduction of dipions 345

4 Production of coherent bremsstrahlung by electrons in a diamond crystal (Überall effect) 346

References 349

Figure captions 351

J.L. FRANZINI The electron spectrum from muon decay 360

The spectrometer method 362

The visual method 362

References 366

L.N. COOPER Superconductors: superconducting and otherwise 370

I: Superconducting 370

II: Otherwise 387

References 398

Discussions

Discussion I led by A. PAIS 399

Discussion 2 led by A. PAIS 409

Discussion 3 led by D.H. SHARP 415

Discussion 4 led by A. PAIS 424

Discussion 5 led by N. CABIBBO 427

Discussion 6 led by J.S. BELL 431

Discussion 7 led by L.A. RADICATI 438

Discussion 8 led by L.A. RADICATI 442

Discussion 9 led by J. PRENTKI 444

Discussion 10 led by N. CABIBBO 445

Closing ceremony 448

V.F. WEISSKOPF The privilege of being a scientist 450

1966 — INTERNATIONAL SCHOOL OF SUBNUCLEAR PHYSICS

Strong and Weak Interactions Present Problems

CONTENTS

Forewords xi

Opening Ceremony 1

G. Bernardini Discorso inaugurale 3

E. Amaldi Ettore Majorana, Man and Scientist - Commemoration Speech 10

Lectures

S. Coleman AN INTRODUCTION TO UNITARY SYMMETRY 78

I. The search for higher symmetries 78

1. The eight-baryon puzzle 78

2. The elimination of G0 81

II. SU(3) and its representations 83

1. The representations of SU(n) 83

2. The representations of SU(2) 85

3. The representations of SU(3) 87

4. Dimensions of the IR's 88

5. Isospin and hypercharge 89

6. Isospin-hypercharge decompositions 91

7. The Clebsch-Gordan series 94

8. Some theorems 98

9. Invariant couplings 101

10. The problem of Cartesian components 101

11. SU(2) again 102

12. SU(3) octets: trilinear couplings 105

13. SU(3) octets: quadrilinear couplings 106

14. A mixed notation 107

III. Applications 110

1. Electromagnetism 111

2. Magnetic moments: baryons 112

3. Electromagnetic mass splittings 113

4. Electromagnetic properties of the decuplet 114

5. The medium-strong interactions 115

IV. Ideas of octet enhancement 117

Bibliography 128

L.A. Radicati HADRON AND LEPTON INTERNAL SYMMETRIES 129

I. Introduction 129

II. Internal symmetry for leptons 130

III. Algebra of the hadron vector current 134

IV. Leptons and hadrons 141

References 145

N. Cabibbo CURRENT ALGEBRA AND WEAK INTERACTIONS 146

I. Introduction 146

II. Outline of weak interaction theory 147

1. Current-current interaction 147

2. Structure of the hadron current Jx 150

3. Partially conserved axial vector current 152