Elementary particle physics: concepts and phenomena
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | German English |
Veröffentlicht: |
Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo
Springer
1990
|
Schriftenreihe: | Texts and monographs in physics
|
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Literaturverz. S. 537 - 554 |
Beschreibung: | XIX, 559 S. graph. Darst. |
ISBN: | 3540504966 0387504966 |
Internformat
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245 | 1 | 0 | |a Elementary particle physics |b concepts and phenomena |c Otto Nachtmann. Transl. by A. Lahee and W. Wetzel |
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Datensatz im Suchindex
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adam_text | CONTENTS
PREFACE V
ABBREVIATIONS IX
NOTATION AND SYMBOLS XI
PART I
RELATIVISTIC KINEMATICS AND QUANTUM FIELDS 1
1 INTRODUCTION 3
2 THE THEORY OF SPECIAL RELATIVITY AND RELATIVISTIC KINEMATICS 10
2.1 THE BASIC PRINCIPLES OF SPECIAL RELATIVITY 11
2.2 ENERGY AND MOMENTUM OF RELATIVISTIC PARTICLES 20
2.3 THE RELATIVISTIC KINEMATICS OF A COLLISION BETWEEN
TWO PARTICLES 23
EXERCISES 31
3 PARTICLES AND FIELDS 33
3.1 THE SCHRDDINGER, DIRAC, AND HEISENBERG PICTURES OF
QUANTUM MECHANICS 33
3.2 FREE PARTICLES AND THE FOCK SPACE 36
HTTP://D-NB.INFO/900427272
XIV CONTENTS
3.3 THE LAGRANGE FORMALISM AND THE NOETHER THEOREMS 47
3.4 THE CANONICAL QUANTIZATION RULES 52
EXERCISES 53
4 THE DIRAC EQUATION AND THE DIRAC FIELD
55
4.1 THE DIRAC EQUATION 55
4.2 SOLUTIONS OF THE DIRAC EQUATION 58
4.3 TRANSFORMATION RULES FOR THE DIRAC FIELD 61
4.4 QUANTIZATION AND INTERPRETATION OF THE DIRAC FIELD 66
4.5 PARITY, CHARGE-CONJUGATION, AND TIME-REVERSAL INVARIANCE
OF THE FREE DIRAC FIELD 71
4.5.1 THE PARITY TRANSFORMATION P 71
4.5.2 THE CHARGE-CONJUGATION TRANSFORMATION C 73
4.5.3 THE TIME-REVERSAL TRANSFORMATION T 75
EXERCISES 78
5 THE SCATTERING MATRIX AND THE SCATTERING CROSS-SECTION 80
5.1 THE SCATTERING OF ELECTRONS BY A HEAVY NUCLEUS 80
5.2 GENERAL DEFINITION OF THE S- AND T-MATRIX 87
5.3 THE UNITARY RELATION AND THE OPTICAL THEOREM 91
5.4 THE DECAY RATE OF AN UNSTABLE PARTICLE 92
EXERCISES 92
PART II
QUANTUM ELECTRODYNAMICS 95
6 INTRODUCTORY REMARKS 97
7 THE QUANTIZATION OF THE FREE ELECTROMAGNETIC FIELD 101
7.1 COMMUTATION RULES AND INDEFINITE METRIC 101
7.2 NORMAL-ORDERED AND TIME-ORDERED PRODUCTS 107
EXERCISES 112
8 FURTHER ASPECTS OF THE THEORY OF THE FREE DIRAC FIELD
114
8.1 THE DIRAC CURRENT 114
8.2 THE MAGNETIC MOMENT OF THE ELECTRON IN THE DIRAC THEORY 116
8.3 THE FREE ELECTRON PROPAGATOR 119
EXERCISES 120
CONTENTS XV
9 ELECTROMAGNETIC COUPLING AND THE PERTURBATION EXPANSION 121
9.1 THE ELECTROMAGNETIC COUPLING OF THE DIRAC FIELD 121
9.2 THE FEYNMAN RULES 123
EXERCISES 126
10 SIMPLE REACTIONS IN QUANTUM ELECTRODYNAMICS
128
10.1 ELECTRON-ELECTRON SCATTERING (MAILER SCATTERING) 128
10.2 ELECTRON-POSITRON SCATTERING (BHABHA SCATTERING) 13S
10.3 COMPTON SCATTERING 137
EXERCISES 141
11 THE MUON AND MUON PAIR PRODUCTION IN ELECTRON
POSITRON ANNIHILATION 142
11.1 PROPERTIES OF THE MUON 142
11.2 THE REACTION EE
+
-+ N
+
144
EXERCISES 148
12 EXTERNAL FIELDS 149
12.1 THE SCATTERING OF ELECTRONS IN AN EXTERNAL POTENTIAL 151
12.2 BREMSSTRAHLUNG 152
12.3 PAIR CREATION (THE BETHE-HEITLER PROCESS) 158
EXERCISES 159
13 POSITRONIUM
160
13.1 THE SPECTRUM OF POSITRONIUM STATES AND THEIR GENERAL
PROPERTIES 160
13.2 THE DECAY OF POSITRONIUM 163
EXERCISES 170
14 RADIATIVE CORRECTIONS
171
14.1 RADIATIVE CORRECTIONS TO THE SCATTERING IN
AN EXTERNAL POTENTIAL 171
14.2 THE LAMB SHIFT 175
PART III
THE STRONG INTERACTION
179
15 HISTORICAL OVERVIEW
181
XVI CONTENTS
16 PHENOMENOLOGY OF HADRONIC REACTIONS 195
16.1 RESONANCE PHYSICS 197
16.2 A BASIS FOR THE HADRON STATES AND
THE SYMMETRIES C, P, AND T 199
16.3 PARTIAL WAVE ANALYSIS 207
16.4 TOTAL CROSS-SECTIONS AT HIGH ENERGIES 213
16.5 MULTI-PARTICLE PRODUCTION AT HIGH ENERGIES 215
EXERCISES 221
17 INTERNAL SYMMETRIES OF THE STRONG INTERACTION AND THE
QUARK MODEL 223
17.1 MATHEMATICS OF THE SU(3) GROUP 223
17.2 THE QUARK MODEL AND THE FLAVOR-SU(3) GROUP 227
17.3 THE GELL-MANN-OKUBO MASS FORMULA 237
17.4 THE SU(6) SYMMETRY 241
EXERCISES 244
18 THE NAIVE PARTON MODEL 246
18.1 ELECTRON-POSITRON ANNIHILATION INTO HADRONS 248
18.2 DEEP INELASTIC LEPTON-NUCLEON SCATTERING 250
18.3 THE FLAVOR QUANTUM NUMBERS OF THE PARTONS 259
18.4 SUM RULES AND EVIDENCE FOR FLAVOR-NEUTRAL
PARTONS, GLUONS 266
18.5 THE DRELL-YAN PROCESS 267
EXERCISES 271
19 THE BASIC PRINCIPLES OF QUANTUM CHROMODYNAMICS 273
19.1 THE LAGRANGE DENSITY OF QUANTUM
CHROMODYNAMICS (QCD) 273
19.2 VIOLATION OF THE BJORKEN SCALE INVARIANCE IN DEEP INELASTIC
SCATTERING 279
19.3 THE CALCULATION OF ANOMALOUS DIMENSIONS IN QCD 284
19.4 COMPARISON OF DEEP INELASTIC SCATTERING DATA WITH QCD 288
EXERCISES 294
20 JET AND QUARKONIUM PHYSICS 295
20.1 THE NAIVE JET MODEL 295
20.2 JETS AND QCD EFFECTS IN ELECTRON-POSITRON ANNIHILATION
INTO HADRONS 302
20.3 QUARKONIUM 309
20.4 JETS IN HADRON-HADRON COLLISIONS 315
EXERCISES 320
CONTENTS XVII
PART IV
THE ELECTROWEAK INTERACTION 323
21 FROM /?-DECAY TO THE W-BOSON. A HISTORICAL SURVEY 325
21.1 THE EARLY DAYS, THE NEUTRINO HYPOTHESIS, FOUR-FERMION
COUPLING 325
21.2 PARITY VIOLATION AND THE (V - A) THEORY 328
21.3 THE UNIVERSALITY OF THE WEAK INTERACTION AND THE
CABIBBO THEORY 332
21.4 NEUTRAL CURRENTS, THE W- AND Z-BOSONS, AND THE
GLASHOW-WEINBERG-SALAM THEORY 335
EXERCISES 337
22 THE LAGRANGE DENSITIES OF QUANTUM FLAVOR DYNAMICS AND
OF THE STANDARD MODEL 338
22.1 THE GAUGE GROUP OF THE ELECTROWEAK INTERACTION 338
22.2 THE HIGGS FIELD AND SPONTANEOUS SYMMETRY BREAKING 346
22.3 THE EXTENSION OF QUANTUM FLAVOR DYNAMICS TO OTHER LEPTONS
AND TO QUARKS, AND THE EFFECTIVE LAGRANGE DENSITY AT
LOW ENERGIES 355
22.4 THE MASS MATRIX AND THE CABIBBO ANGLES 361
22.5 THE LAGRANGE DENSITY OF THE STANDARD MODEL 369
EXERCISES 371
23 DECAY PROCESSES IN THE STANDARD MODEL AND THE DETERMINATION
OF THE QUARK MIXING ANGLES IN THE CHARGED CURRENT 372
23.1 THE DECAY OF THE MUON 372
23.2 THE DECAY OF THE X-LEPTON 375
23.3 THE /7-DECAY OF THE NEUTRON AND THE DETERMINATION OF THE
KOBAYASHI-MASKAWA MATRIX ELEMENT K,, 377
23.4 HYPERON DECAY PROCESSES AND THE DETERMINATION OF VJ
2
381
23.5 THE DECAYS OF CHARGED PIONS 383
23.6 THE DECAY OF PARTICLES CONTAINING A HEAVY QUARK C OR B 386
EXERCISES 393
24 THE NEUTRAL CURRENT AND THE DETERMINATION OF SIN
2
395
24.1 NEUTRINO-ELECTRON SCATTERING 395
24.2 NEUTRINO-NUCLEON SCATTERING 400
24.3 EFFECTS OF THE WEAK INTERACTION IN
ELECTRON-POSITRON ANNIHILATION 404
EXERCISES 412
XVIII CONTENTS
25 THE PHYSICS OF THE Z-, W-, AND HIGGS BOSONS 413
25.1 THEZ-BOSON 413
25.2 THEW-BOSON 420
25.3 THE PRODUCTION OF W- AND Z-BOSONS IN PP COLLISIONS 423
25.4 THE SPIN OF THE W-BOSON 430
25.5 THE HIGGS BOSON 434
EXERCISES 437
26 THE SYSTEM OF NEUTRAL K-MESONS AND CP VIOLATION 439
26.1 PHENOMENOLOGY OF THE NEUTRAL K-MESONS 439
26.2 CP VIOLATION AND CPT INVARIANCE IN THE STANDARD MODEL 449
26.2.1 CP VIOLATION IN THE LAGRANGE DENSITY 449
26.2.2 CPT INVARIANCE 452
26.2.3 CP VIOLATION IN THE NEUTRAL K-MESON SYSTEM
IN THE STANDARD MODEL 454
EXERCISES 458
27 ORDER AND DISORDER IN ELEMENTARY PARTICLE PHYSICS 460
27.1 GRAND UNIFICATION 463
27.2 FURTHER SYMMETRIES AT INTERMEDIATE ENERGIES 466
27.3 SUPERSYMMETRY, STRINGS, AND SUPERSTRINGS 467
27.4 ORDER OUT OF CHAOS 468
APPENDICES
A DIRAC MATRICES AND SPINORS 470
B THE FEYNMAN RULES OF QED 473
C THE GROUPS SU(2) AND SU(3) 478
C.1 THE GROUP SU(2) 478
C.2 THE GROUP SU(3) 482
D THE FEYNMAN RULES OF QCD 485
E THE (^-EVOLUTION OF QUARK AND GLUON DISTRIBUTION
FUNCTIONS OF THE NUCLEONS IN QCD 490
F THE FIERZ TRANSFORMATION 4%
G THE FEYNMAN RULES FOR THE STANDARD MODEL IN THE
UNITARY GAUGE 499
H THE KOBAYASHI-MASKAWA MATRIX FOR THREE FAMILIES 506
CONTENTS XIX
I THE WIGNER-WEISSKOPF APPROXIMATION FOR THEDESCRIPTION
OF THE DECAY OF UNSTABLE PARTICLES AND THE K-K SYSTEM 509
1.1 GENERAL FORMALISM 509
1.2 APPLICATION TO THE SYSTEM OF NEUTRAL K-MESONS 517
) SOLUTIONS TO SELECTED EXERCISES 522
REFERENCES 537
INDEX
555
|
any_adam_object | 1 |
author | Nachtmann, Otto |
author_facet | Nachtmann, Otto |
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author_variant | o n on |
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bvnumber | BV025861334 |
ctrlnum | (OCoLC)611764594 (DE-599)BVBBV025861334 |
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indexdate | 2024-07-09T22:13:54Z |
institution | BVB |
isbn | 3540504966 0387504966 |
language | German English |
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physical | XIX, 559 S. graph. Darst. |
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spelling | Nachtmann, Otto Verfasser aut Phänomene und Konzepte der Elementarteilchenphysik Elementary particle physics concepts and phenomena Otto Nachtmann. Transl. by A. Lahee and W. Wetzel Berlin ; Heidelberg ; New York ; London ; Paris ; Tokyo Springer 1990 XIX, 559 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Texts and monographs in physics Literaturverz. S. 537 - 554 Elementarteilchenphysik (DE-588)4014414-8 gnd rswk-swf Elementarteilchenphysik (DE-588)4014414-8 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019109005&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Nachtmann, Otto Elementary particle physics concepts and phenomena Elementarteilchenphysik (DE-588)4014414-8 gnd |
subject_GND | (DE-588)4014414-8 |
title | Elementary particle physics concepts and phenomena |
title_alt | Phänomene und Konzepte der Elementarteilchenphysik |
title_auth | Elementary particle physics concepts and phenomena |
title_exact_search | Elementary particle physics concepts and phenomena |
title_full | Elementary particle physics concepts and phenomena Otto Nachtmann. Transl. by A. Lahee and W. Wetzel |
title_fullStr | Elementary particle physics concepts and phenomena Otto Nachtmann. Transl. by A. Lahee and W. Wetzel |
title_full_unstemmed | Elementary particle physics concepts and phenomena Otto Nachtmann. Transl. by A. Lahee and W. Wetzel |
title_short | Elementary particle physics |
title_sort | elementary particle physics concepts and phenomena |
title_sub | concepts and phenomena |
topic | Elementarteilchenphysik (DE-588)4014414-8 gnd |
topic_facet | Elementarteilchenphysik |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019109005&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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