Introduction to Elementary Particles
2nd Edition
Published on 18. December 2020
XVI, 472 pages
978-3-527-83463-1 (ISBN)
Description
In the second, revised edition of a well-established textbook, the author strikes a balance between quantitative rigor and intuitive understanding, using a lively, informal style. The first chapter provides a detailed historical introduction to the subject, while subsequent chapters offer a quantitative presentation of the Standard Model. A simplified introduction to the Feynman rules, based on a "toy" model, helps readers learn the calculational techniques without the complications of spin. It is followed by accessible treatments of quantum electrodynamics, the strong and weak interactions, and gauge theories. New chapters address neutrino oscillations and prospects for physics beyond the Standard Model. The book contains a number of worked examples and many end-of-chapter problems. A complete solution manual is available for instructors.
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David Griffiths
Introduction to Elementary Particles
Book
08/2008
2nd Edition
Wiley-VCH
€79.90
Available immediately
Person
David Griffiths is Professor of Physics at the Reed College in Portland, Oregon. After obtaining his PhD in elementary particle theory at Harvard, he taught at several colleges and universities before joining the faculty at Reed in 1978. He specializes in classical electrodynamics and quantum mechanics as well as elementary particles, and has written textbooks on all three subjects.
Content
1 Historical Introduction to the Elementary Particles
2 Elementary Particle Dynamics
3 Relativistic Kinematics
4 Symmetries
5 Bound States
6 The Feynman Calculus
7 Quantum Electrodynamics
8 Electrodynamics and Chromodynamics of Quarks
9 Weak Interactions
10 Gauge Theories
11 Neutrino Oscillations
12 Afterword: What´s Next?
A The Dirac Delta Function
B Decay Rates and Cross Sections
C Pauli and Dirac Matrices
D Feynman Rules (Tree Level)
Generation Flavor Charge Mass* Lifetime Principal Decays first e (electron) -1 0.510999 8 - ve (e neutrino) 0 0 8 - second µ (muon) -1 105.659 2.19703 × 10-6 vµ (i neutrino) 0 0 8 - third T (tau) -1 1776.99 2.91 × 10-13 vt (t neutrino) 0 0 8 -
Generation Flavor Charge Mass* first d (down) -1/3 7 u (up) 2/3 3 second s (strange) -1/3 120 c (charm) 2/3 1200 third b (bottom) -1/3 4300 t (top) 2/3 174000
Force Mediator Charge Mass* Lifetime Principal Decays Strong g (8 gluons) 0 0 8 - Electromagnetic ? (photon) 0 0 8 - Weak W± (charged) ±1 80,420 3.11 × 10-25 e+ve, µ+vµ, s+vt, cX hadrons Z° (neutral) 0 91,190 2.64 × 10-25
Baryon Quark Content Charge Mass Lifetime Principal Decays uud 1 938.272 8 - udd 0 939.565 885.7 ? uds 0 1115.68 2.63 × 10-10 pp-, np0 S+ uus 1 1189.37 8.02 × 10-11 pp0, np- S0 uds 0 1192.64 7.4 × 10-20 ?? S- dds -1 1197.45 1.48 × 10-10 np- ?0 uss 0 1314.8 2.90 × 10-10 ?p0 ?- dss -1 1321.3 1.64 × 10-10 ?p- udc 1 2286.5 2.00 × 10-13 pKp, ?pp, Spp
Baryon Quark Content Charge Mass Lifetime Principal Decays ? uuu, uud, udd, ddd 2,1,0,-1 1232 5.6 × 10-24 Np S* uus, uds, dds 1,0,-1 1385 1.8 × 10-23 ?p, Sp ?* uss, dss 0,-1 1533 6.9 × 10-23 ?p O- sss -1 1672 8.2 × 10-11 ?K-, ?p
Planck's constant: h = 1.05457 × 10-34 J s = 6.58212 × 10-22 MeV s Speed of light: c = 2.99792 × 108 m/s Mass of electron: me = 9.10938 × 10-31kg = 0.510999 MeV/c2 Mass of proton: mp = 1.67262 × 10-27kg = 938.272 MeV/c2 Electron charge (magnitude): e = 1.60218 × 10-19 C = 4.80320 × 10-10 esu Fine structure constant: a = e2/hc = 1/137.036 Bohr radius: a = h2/mee2 = 5.29177 × 10-11 m Bohr energies: En = -mee4/2h2n2 = -13.6057/n2 eV Classical electron radius: re = e2/mec2 = 2.81794 × 10-15 m QED coupling constant: ge = Weak coupling constants: gw = ge/sin?w = 0.6295; gz = gw/ cos ?w = 0.7180 Weak mixing angle: ?w = 28.76° (sin2 ?w = 0.2314) Strong coupling constant: gs = 1.214
1Å = 0.1 nm= 10-10 m 1 fm = 10-15 m 1 barn = 10- 28...
2 Elementary Particle Dynamics
3 Relativistic Kinematics
4 Symmetries
5 Bound States
6 The Feynman Calculus
7 Quantum Electrodynamics
8 Electrodynamics and Chromodynamics of Quarks
9 Weak Interactions
10 Gauge Theories
11 Neutrino Oscillations
12 Afterword: What´s Next?
A The Dirac Delta Function
B Decay Rates and Cross Sections
C Pauli and Dirac Matrices
D Feynman Rules (Tree Level)
Formulas and Constants Particle Data
Mass in MeV/c2, lifetime in seconds, charge in units of the proton charge.
Leptons (spin 1/2)
Generation Flavor Charge Mass* Lifetime Principal Decays first e (electron) -1 0.510999 8 - ve (e neutrino) 0 0 8 - second µ (muon) -1 105.659 2.19703 × 10-6 vµ (i neutrino) 0 0 8 - third T (tau) -1 1776.99 2.91 × 10-13 vt (t neutrino) 0 0 8 -
* Neutrino masses are extremely small, and for most purposes can be taken to be zero; for details see Chapter 11.
Quarks (spin 1/2)
Generation Flavor Charge Mass* first d (down) -1/3 7 u (up) 2/3 3 second s (strange) -1/3 120 c (charm) 2/3 1200 third b (bottom) -1/3 4300 t (top) 2/3 174000
* Light quark masses are imprecise and speculative; for effective masses in mesons and baryons, see Chapter 5.
Mediators (spin 1)
Force Mediator Charge Mass* Lifetime Principal Decays Strong g (8 gluons) 0 0 8 - Electromagnetic ? (photon) 0 0 8 - Weak W± (charged) ±1 80,420 3.11 × 10-25 e+ve, µ+vµ, s+vt, cX hadrons Z° (neutral) 0 91,190 2.64 × 10-25
Baryons (spin 1/2)
Baryon Quark Content Charge Mass Lifetime Principal Decays uud 1 938.272 8 - udd 0 939.565 885.7 ? uds 0 1115.68 2.63 × 10-10 pp-, np0 S+ uus 1 1189.37 8.02 × 10-11 pp0, np- S0 uds 0 1192.64 7.4 × 10-20 ?? S- dds -1 1197.45 1.48 × 10-10 np- ?0 uss 0 1314.8 2.90 × 10-10 ?p0 ?- dss -1 1321.3 1.64 × 10-10 ?p- udc 1 2286.5 2.00 × 10-13 pKp, ?pp, Spp
Baryons (spin 3/2)
Baryon Quark Content Charge Mass Lifetime Principal Decays ? uuu, uud, udd, ddd 2,1,0,-1 1232 5.6 × 10-24 Np S* uus, uds, dds 1,0,-1 1385 1.8 × 10-23 ?p, Sp ?* uss, dss 0,-1 1533 6.9 × 10-23 ?p O- sss -1 1672 8.2 × 10-11 ?K-, ?p
Pseudoscalar Mesons (spin 0)
Vector Mesons (spin 1)
Spin 1/2
Pauli Matrices:
Dirac Matrices:
(For product rules and trace theorems see Appendix C.)
Dirac Equation:
Feynman Rules
(For vertex factors see Appendix D.)
Fundamental Constants
Planck's constant: h = 1.05457 × 10-34 J s = 6.58212 × 10-22 MeV s Speed of light: c = 2.99792 × 108 m/s Mass of electron: me = 9.10938 × 10-31kg = 0.510999 MeV/c2 Mass of proton: mp = 1.67262 × 10-27kg = 938.272 MeV/c2 Electron charge (magnitude): e = 1.60218 × 10-19 C = 4.80320 × 10-10 esu Fine structure constant: a = e2/hc = 1/137.036 Bohr radius: a = h2/mee2 = 5.29177 × 10-11 m Bohr energies: En = -mee4/2h2n2 = -13.6057/n2 eV Classical electron radius: re = e2/mec2 = 2.81794 × 10-15 m QED coupling constant: ge = Weak coupling constants: gw = ge/sin?w = 0.6295; gz = gw/ cos ?w = 0.7180 Weak mixing angle: ?w = 28.76° (sin2 ?w = 0.2314) Strong coupling constant: gs = 1.214
Conversion Factors
1Å = 0.1 nm= 10-10 m 1 fm = 10-15 m 1 barn = 10- 28...
