Strong and Weak Interactions Present Problems (eBook)

Front Cover 1
Strong and Weak Interactions: Present Problems 10
Coppyright Page 11
Table of Contents 14
FOREWORD 12
OPENING CEREMONY 22
Discorso Inaugurale 24
Ettore Majorana, Man and Scientist Commemoration Speech 31
PART I: LECTURES 31
CHAPTER 1. AN INTRODUCTION TO UNITARY SYMMETRY 99
I. The search for higher symmetries 99
II. SU(3) and its representations 104
III. Applications 131
IV. Ideas of octet enhancement 138
Bibliography 149
CHAPTER 2. HADRON AND LEPTON INTERNAL SYMMETRIES 150
I. Introduction 150
II. Internal symmetry for leptons 151
III. Algebra of the hadron vector current 155
IV. Leptons and hadrons 162
References 166
CHAPTER 3. CURRENT ALGEBRA AND WEAK INTERACTIONS 167
I. Introduction 167
II. Outline of weak interaction theory 168
III. A zero energy theorem 182
IV. Applications to leptonic decays of the K mesons 185
V. Non-Ieptonic decays of the K mesons 188
References 193
CHAPTER 4. CURRENT ALGEBRA 194
I. Algebra of currents – background 194
II. The frame P = 8 199
III. Experimental tests 203
IV. Going beyond SU(3) (x) SU(3) 207
V. Trying to represent the local U(3) (x) U(3) algebra 210
References 222
CHAPTER 5. RELATIVISTIC QUARK MODEL AS REPRESENTATION OF CURRENT ALGEBRA 223
I. Current algebra at infinite momentum 223
II. Relativistic representation of current algebra 226
III. Relation to approximate symmetry 232
IV. Covariant formalism 238
V. A simple case solved exactly 244
VI. Outlook 250
Footnotes 255
CHAPTER 6. IDEAS ABOUT CP† 256
I. The violation of CP 256
II. The neutral kaon system 272
Footnotes and bibliography 287
CHAPTER 7. REGGE POLES IN HIGH-ENERGY SCATTERING 289
1. Introduction 289
2. Moving poles 290
3. Sommerfeld-Watson transformation 291
4. Signature 293
5. High-energy kinematics 294
6. t-channel poles 295
7. Illustration: pN scattering 295
8. Characteristic Regge properties 299
9. Properties of some other models 302
10. Non-Regge effects 304
11. One-pole test case: p-P - pon 305
12. Another one-pole case: p - P . non 307
13. Two-pole case: KN and KN charge exchange 308
14. SU(3) for p, n, K and K 309
15. Other reactions with boson Regge poles 310
16. Elastic scattering 313
17. Fermion Regge poles 317
18. The rule for zeros 319
19. Outlook 319
References 322
CHAPTER 8. MODELS OF STRONG INTERACTIONS 336
I. Introduction 336
II. The wave functions of mesons and baryons 339
III. Electromagnetic properties 342
IV. Relations among strong vertices 347
V. Relations between cross-sections 354
VI. A brief description of the U (6, 6) theory 360
VII. Medium-strong mass splittings 367
Appendix 372
References 375
CHAPTER 9. REGGE POLES AND THE ALGEBRA OF CURRENTS 380
References 397
CHAPTER 10. MESON RESONANCES 399
Introduction 399
I. Recent results on the existence and quantum numbers of mesons 400
II. Kinematic effects 421
References 428
CHAPTER 11. PHENOMENOLOGY OF RESONANCES AND PARTICLES SUPERMULTIPLETS 489
I. Baryon resonances with strangeness =0 489
II. Baryon resonances with strangeness # 0 503
III. Particle supermultiplets 515
References 535
SEMINARS 586
CHAPTER 12. COMMUTATORS OF CURRENT COMPONENTS 586
References 598
CHAPTER 13. SOME TOPICS OF RECENT INTEREST IN p and n PHOTOPRODUCTION 599
I. Introduction 599
II. Reasons for current interest in pseudoscalar photoproduction 599
III. Review of some recent experimental results 605
References 612
CHAPTER 14. RECENT EXPERIMENTS AT DESY 624
I. Introduction 624
II. The experimental programme 624
III. Photoproduction experiments 626
IV. Experiments for investigating the limits of the validity of present Q.E.D 649
V. Other experiments 649
References 653
CHAPTER 15. MESON PHOTOPRODUCTION NEAR THRESHOLD AND CURRENT CMMUNICATION ALGEBRA 697
References 704
CHAPTER 16. A POSSIBLE TEST AND SOME APPLICATIONS OF HEGGE POLES 705
1. Curvature of fermion trajectories as a test of the Regge-pole idea 705
2. Background integral of the Regge representation 706
3· Use of Regge poles in the direct channel at low energies 707
4· Reggeized bootstraps 709
References 711
CHAPTER 17. WEAK BOSONS, DECAY AND PRODUCTION 712
1. Introduction 712
2. Weak interactions 713
3. W mesons 714
4. W decays 714
5. Weak current 715
6. W .. two pseudoscaler mesons (a + b) 717
7. W . pseudoscaler meson (P) + vector meson (V) 718
8. W . p+n 719
9. SU3 limit 720
10. Quark model 722
11. Absolute decay rate 724
12. Search for W mesons 724
13. "W hunting" 725
References 729
CHAPTER 18. RECENT DEVELOPMENTS IN THE THEORY OF MAGNETICALLY CHARGED PARTICLES 732
I. Introduction 732
II. The quantization condition 735
III. Rotational invariance 742
IV. A more precise version 746
V. Further results 748
Footnotes and references 750
DISCUSSIONS 752
Discussion 1 752
Discussion 2 759
Discussion 3 769
Discussion 4 775
Discussion 5 779
Discussion 6 782
Discussion 7 792
Discussion 8 794
Discussion 9 796
Discussion 10 798
Discussion 11 801
Discussion 12 809
Discussion 13 812
Discussion 14 816
Discussion 15 818
Discussion 16 822
Discussion 17 830
Discussion 18 833
Discussion 19 844
Discussion 20 847
Discussion 21 850
Discussion 22 852
Discussion 23 853
Discussion 24 856
Discussion 25 861
Discussion 26 864
CLOSING CEREMONY 868
LIST OF PARTICIPANTS 869