A Modern Introduction to Particle Physics

by Fayyazuddin

• ISBN13: 9789810238773
• ISBN10: 9810238770
• Edition: 2nd
• Format: Paperback
• Copyright: 1999-12-01
• Publisher: WORLD SCIENTIFIC PUB CO INC

Summary

In this second edition, many chapters (e.g. on electroweak unification) have been revised to bring them up to date. In particular, the chapters neutrino physics, particle mixing and CP violation and weak decays of heavy flavors have beer rewritten incorporating new material and new data. The heavy quark effective theory has been included.

Table of Contents

Introduction	1	(26)
Fundamental Force	1	(7)
Classification of Matter: Leptons and Quarks	8	(2)
Strong Color Charges	10	(2)
Fundamental Role of ``Charges'' and the Standard Model of Electroweak Unification and Strong Force	12	(7)
Strong Quark--Quark Force	19	(2)
Grand Unification	21	(3)
Units and Notation	24	(2)
Bibliography	26	(1)
Scattering and Particle Interaction	27	(38)
Kinematics of a Scattering Process	27	(4)
Interaction Picture	31	(2)
Scattering Matrix (S--Matrix)	33	(5)
Phase Space	38	(3)
Examples	41	(11)
Two-body scattering	41	(2)
Three-body decay	43	(9)
Electromagnetic Interaction	52	(5)
Weak Interaction	57	(3)
Hadronic Cross-section	60	(1)
Problems	61	(2)
Bibliography	63	(2)
Space--Time Symmetries	65	(32)
Invariance Principle	65	(2)
Parity	67	(2)
Intrinsic Parity	69	(4)
Parity Constraints on S-Matrix for Hadronic Reactions	73	(3)
Scattering of spin 0 particles on spin 1/2 particles	73	(2)
Decay of a spin 0+ particle into three spinless particles each having odd parity	75	(1)
Time Reversal	76	(3)
Applications	79	(1)
Detailed balance principle	79	(1)
Unitarity Constraints	80	(11)
Problems	91	(4)
Bibliography	95	(2)
Internal Symmetries	97	(34)
Selection Rules and Globally Conserved Quantum Numbers	97	(9)
Isospin	106	(5)
Electromagnetic interaction and isospin	110	(1)
Weak interaction and isospin	111	(1)
Resonance Production	111	(9)
Charge Conjugation	120	(5)
G-Parity	125	(2)
Problems	127	(2)
Bibliography	129	(2)
Unitary Groups and SU(3)	131	(54)
Unitary Groups and SU(3)	131	(6)
Particle Representations in Flavor SU(3)	137	(14)
U-Spin	151	(1)
Irreducible Representations of SU(3)	151	(8)
SU(N)	159	(8)
Applications of Flavor SU(3)	167	(3)
Mass Splitting in Flavor SU(3)	170	(8)
Problems	178	(5)
Bibliography	183	(2)
SU(6) and Quark Model	185	(28)
SU(6)	185	(7)
Magnetic Moments of Baryons	192	(8)
Radiative Decays of Vector Mesons	200	(9)
Problems	209	(2)
Bibliography	211	(2)
Color, Gauge Principle and Quantum Chromodynamics	213	(46)
Evidence for Color	213	(5)
Gauge Principle	218	(7)
Aharanov and Bohm experiment	220	(3)
Gauge principle for relativistic quantum mechanics	223	(2)
Quantum Chromodynamics (QCD)	225	(12)
Conserved current	228	(3)
Experimental determinations of αs(q2) and asymptotic freedom of QCD	231	(6)
Hadron Spectroscopy	237	(7)
One gluon exchange potential	237	(2)
Long range QCD motivated potential	239	(4)
Spin-spin interaction	243	(1)
The Mass Spectrum	244	(11)
Meson mass spectrum	246	(4)
Baryon mass spectrum	250	(5)
Bibliography	255	(4)
Heavy Flavors	259	(34)
Discovery of Charm	259	(3)
Isospin	261	(1)
SU(3) classification	261	(1)
Charm	262	(5)
Charmed mesons	263	(2)
The fifth quark flavor: Bottom mesons	265	(1)
The sixth quark flavor: The top	266	(1)
Heavy Baryons	267	(1)
Quarkonium	268	(8)
Leptonic Decay Width of Quarkonium	276	(2)
Hadronic Decay Width	278	(2)
Non-Relativistic Treatment of Quarkonium	280	(7)
Problems	287	(4)
Bibliography	291	(2)
Heavy Quark Effective Theory (HQET)	293	(26)
Effective Lagrangian	293	(5)
Spin Symmetry of Heavy Quark	298	(5)
Mass Spectroscopy for Hadrons with One Heavy Quark	303	(6)
The P-wave Heavy Mesons: Mass Spectroscopy	309	(6)
Decays of P-wave Mesons	315	(3)
Bibliography	318	(1)
Neutrino	319	(42)
Introduction	319	(1)
Mass	320	(11)
Constraints on neutrino mass	321	(4)
Dirac and Majorana masses	325	(3)
Fermion masses in the standard model (SM) and see-saw mechanism	328	(3)
Neutrino Oscillations	331	(10)
Evidence for neutrino oscillations	334	(7)
Possible Particle Physics Solutions of Solar Neutrino Problem	341	(6)
Vacuum oscillations	341	(2)
Possible explanation in terms of resonant matter oscillations: Mikheyev--Smirnov--Wolfenstein [MSW] effect	343	(4)
Evolution of Flavor Eigenstates in Matter	347	(8)
Neutrino Magnetic Moment	355	(4)
Bibliography	359	(2)
Weak Interactions	361	(40)
V -- A Interaction	361	(3)
Helicity of the neutrino	363	(1)
Classification of Weak Processes	364	(32)
μ-decay	372	(2)
Remarks	374	(2)
Semi-leptonic Processes	376	(10)
Hadronic weak decays	386	(10)
Problems	396	(4)
Bibliography	400	(1)
Properties of Weak Hadronic Currents and Chiral Symmetry	401	(24)
Introduction	401	(1)
Conserved Vector Current Hypothesis (CVC)	402	(3)
Partially Conserved Axial Vector Current Hypothesis (PCAC)	405	(3)
Current Algebra and Chiral Symmetry	408	(10)
Explicit breaking of chiral symmetry	412	(4)
An application of chiral symmetry to non-leptonic decays of hyperons	416	(2)
Axial Anomaly	418	(3)
QCD Sum Rules	421	(2)
Bibliography	423	(2)
Electroweak Unification	425	(58)
Introduction	425	(1)
Spontaneous Gauge Symmetry Breaking	426	(6)
Renormalizability	432	(1)
Electroweak Unification	433	(18)
Experimental consequences of the electroweak unification	441	(2)
Need for radiative corrections	443	(5)
Experiments which determine sin2θW	448	(3)
Decay Widths of W and Z Bosons	451	(7)
Tests of Yang-Mills Character of Gauge Bosons	458	(5)
Higgs Boson Mass	463	(1)
Upper Bound	463	(2)
Higgs Boson Searches	465	(3)
GIM Mechanism	468	(4)
Cabibbo--Kobayashi--Maskawa Matrix	472	(3)
Axial Anomaly	475	(6)
Bibliography	481	(2)
Deep Inelastic Scattering	483	(30)
Introduction	483	(2)
Deep-Inelastic Lepton-Nucleon Scattering	485	(8)
Parton Model	493	(5)
Deep Inelastic Neutrino-Nucleon Scattering	498	(3)
Sum Rules	501	(8)
Deep-Inelastic Scattering Involving Neutral Weak Currents	509	(2)
Bibliography	511	(2)
Particle Mixing and CP-Violation	513	(46)
Introduction	513	(2)
General Formalism	515	(10)
CP--Violation in the Standard Model	525	(2)
B0B0 Mixing and CP--Violation	527	(15)
CP--Violation in K0K0 System	542	(10)
CP--Violation in Hyperon Non--Leptonic Decays	552	(3)
Problems	555	(2)
Bibliography	557	(2)
Weak Decays of Heavy Flavors	559	(42)
Leptonic Decays of τ Lepton	559	(3)
Semi-Hadronic Decays of &tau Lepton	562	(5)
Weak Decays of Heavy Flavors	567	(30)
Leptonic decays of D and B mesons	569	(1)
Semi--leptonic decays of D and B mesons	570	(5)
(Exclusive) semileptonic decays of D and B mesons	575	(9)
Non-leptonic decays of B and D mesons	584	(7)
Scattering and annihilation diagrams	591	(6)
Problems	597	(3)
Bibliography	600	(1)
Grand Unification, Supersymmetry and Strings	601	(22)
Grand Unification	601	(11)
Q2 evolution of gauge coupling constants and the grand unification mass scale	604	(2)
General consequences of GUTs	606	(6)
Supersymmetry and Strings	612	(5)
Introduction	612	(1)
Supersymmetry	613	(4)
String Theory and Duality	617	(3)
Some Important Results	620	(1)
Conclusions	621	(1)
Bibliography	622	(1)
Cosmology and Particle Physics	623	(40)
Cosmological Principle and Expansion of the Universe	623	(3)
The Standard Model of Cosmology	626	(6)
Thermal Equilibrium	632	(3)
The Radiation Era	635	(7)
Freeze Out	642	(4)
Limit on Neutrino Mass	646	(3)
Primordial Nucleosynthesis	649	(3)
Baryon Asymmetry of the Universe: Baryogenesis	652	(3)
Inflation	655	(7)
Horizon problem	655	(2)
Flatness problem	657	(1)
Inflationary universe	658	(4)
Bibliograohy	662	(1)
A Quantum Field Theory [A Summary]	663	(24)
A.1 Spin 0 Field	663	(2)
A.2 Spin 1/2 Particle	665	(5)
A.3 Trace of γ-Matrices	670	(3)
A.4 Spin 1 Field	673	(1)
A.5 Massive Spin 1 Particle	674	(1)
A.6 Feynman Rules for S-Matrix in Momentum Space	675	(2)
A.7 An Application of Feynman Rules	677	(3)
A.8 Charge Conjugation	680	(5)
A.9 Bibliography	685	(2)
B Renormalization Group and Running Coupling Constant	687	(18)
B.1 Feynman Rules for Quantum Chromodynamics	687	(2)
B.2 Renormalization Group, Effective Coupling Constant and Asymptotic Freedom	689	(7)
B.3 Running Coupling Constant in Quantum Electrodynamics (QED)	696	(1)
B.4 Running Coupling Constant for SU(2) Gauge Group	697	(1)
B.5 Renormalization Group Equation and High Q2 Behavior of Green's Function	698	(6)
B.5.1 Gluon propagator	701	(1)
B.5.2 Fermion propagator	702	(2)
B.6 Bibliography	704	(1)
Index	705