Hadron Form Factors: From Basic Phenomenology to QCD Sum Rules [Kietas viršelis]

  • Formatas: Hardback, 292 pages, aukštis x plotis: 254x178 mm, weight: 735 g, 5 Tables, black and white; 40 Illustrations, black and white
  • Išleidimo metai: 17-Mar-2020
  • Leidėjas: CRC Press
  • ISBN-10: 1138306754
  • ISBN-13: 9781138306752
  • Formatas: Hardback, 292 pages, aukštis x plotis: 254x178 mm, weight: 735 g, 5 Tables, black and white; 40 Illustrations, black and white
  • Išleidimo metai: 17-Mar-2020
  • Leidėjas: CRC Press
  • ISBN-10: 1138306754
  • ISBN-13: 9781138306752

This book introduces the phenomenology and theory of hadron form factors in a consistent manner, deriving step-by-step the key equations, defining the form factors from the matrix elements of hadronic transitions and  deriving  their symmetry relations . Explained are  several general concepts of particle theory and phenomenology exemplified by hadron form factors. The main emphasis here is on learning the analytical methods in particle phenomenology. Many examples of hadronic  processes involving form factors are considered, from the pion electromagnetic scattering to heavy B-meson decays. In the second part of the book modern techniques  of the form factor calculation, based on the  method of sum rules in the theory of strong interactions, quantum chromodynamics, are introduced in an accessible manner.


This book will be a useful guide for graduate students and early-career researchers working in the field of particle phenomenology and experiments .

Features:
• The first book to address the phenomenology  of hadron form factors at a pedagogical level in one coherent volume.

• Contains up-to-date descriptions of the most important form factors of the electroweak transitions investigated in particle physics experiments


 

Preface xi
Introduction xv
Chapter 1 Qcd, Quark Currents, And Hadrons
1(38)
1.1 Basic Elements Of Qcd
1(7)
1.1.1 QCD Lagrangian
1(1)
1.1.2 Perturbative QCD, the running coupling, and quark mass
2(3)
1.1.3 Nonperturbative regime, confinement, and hadrons
5(2)
1.1.4 Quark-gluon coupling and quark masses
7(1)
1.2 Quark Electromagnetic Current
8(1)
1.3 Quark Weak Currents
9(2)
1.4 Effective Currents
11(2)
1.5 Isospin And Su(3)-Flavor Symmetries
13(2)
1.6 Chiral Symmetry And Its Violation
15(2)
1.7 Hadrons And Their Spectroscopy
17(14)
1.7.1 Mesons and baryons
17(1)
1.7.2 Hadronic state in QCD
18(1)
1.7.3 Exotic hadrons and hadronic molecules
19(1)
1.7.4 Basics of hadron spectroscopy
20(3)
1.7.5 Varying the quark flavors
23(2)
1.7.6 Hadrons are not alike
25(1)
1.7.7 Mixing of light isoscalar mesons
26(2)
1.7.8 Unstable hadrons
28(3)
1.8 Heavy Quark Symmetries And Effective Theory
31(8)
Chapter 2 Meson Form Factors
39(32)
2.1 Hadronic Matrix Element Of The Electron-Pion Scattering
39(3)
2.2 Pion Electromagnetic Form Factor
42(4)
2.3 Simpler Than A Form Factor: The Pion Decay Constant
46(3)
2.4 The Form Factors Of Weak ΠE3 Decay
49(5)
2.5 Varying Flavors: K-, D-, And B-Meson Form Factors
54(11)
2.6 Form Factors In Hqet
65(6)
Chapter 3 Baryon Form Factors
71(8)
3.1 Electromagnetic Form Factors Of The Nucleon
71(2)
3.2 Weak Form Factors Of The Nucleon And β Decay
73(2)
3.3 Varying Flavors: Form Factors Of δ, δC, And δH Baryons
75(2)
3.4 Ioffe Current And Baryon Decay Constants
77(2)
Chapter 4 Hadronic Radiative Transitions
79(10)
4.1 The Ρ ↠ ΠΓ Decay And Vector Dominance
79(5)
4.2 D* ↠ DΓ And B* ↠ BΓ Decays
84(1)
4.3 Radiative Transitions In Heavy Quarkonium
85(2)
4.4 B ↠ K* Γ Decay
87(2)
Chapter 5 Form Factors In The Timelike Region
89(36)
5.1 Crossing Transformation And Analyticity
89(3)
5.2 Unitarity And Dispersion Relation
92(4)
5.3 Pion Form Factor In The Elastic Region And The Watson Theorem
96(3)
5.4 Omnes Representation
99(2)
5.5 Resonances In The Pion Form Factor
101(10)
5.6 Kaon Form Factors And Τ Decays
111(6)
5.7 B ↠ΠΠΝDecays
117(8)
Chapter 6 Nonlocal Hadronic Matrix Elements
125(18)
6.1 Π0 ↠ 2Γ Decay
125(5)
6.2 Photoleptonic Weak Decays
130(5)
6.3 The Anatomy Of B ↠ K(*)+- Amplitudes
135(8)
Chapter 7 Form Factor Asymptotics
143(10)
7.1 Can We Calculate Hadron Form Factors In Qcd?
143(1)
7.2 Asymptotics Of The Pion Form Factor In Qcd
144(9)
Chapter 8 Qcd Sum Rules
153(52)
8.1 Two-Sided Use Of The Correlation Function
153(4)
8.2 Short Distance Dominance
157(2)
8.3 Perturbative Contributions
159(1)
8.4 Vacuum Condensates And Operator-Product Expansion
160(2)
8.5 Calculating A Two-Point Correlation Function
162(12)
8.5.1 Perturbative loop
162(4)
8.5.2 Condensate terms
166(8)
8.6 Various Applications Of Qcd Sum Rules
174(18)
8.6.1 The s-quark mass determination
174(2)
8.6.2 Pion decay constant
176(5)
8.6.3 Heavy quarkonium
181(6)
8.6.4 Decay constants of heavy mesons
187(5)
8.7 Three-Point Sum Rules For Hadron Form Factors
192(13)
Chapter 9 Light-Cone Expansion And Distribution Amplitudes
205(18)
9.1 The Γ*Γ* ↠ Π0 Amplitude
205(2)
9.2 Light-Cone Dominance
207(1)
9.3 Expansion Near The Light-Cone
208(3)
9.4 The Pion Distribution Amplitude
211(12)
Chapter 10 Qcd Light-Cone Sum Rules
223(28)
10.1 Quark Propagator Near The Light-Cone
223(3)
10.2 Calculation Of The Pion Form Factor
226(9)
10.3 The Photon-Pion Transition Form Factor
235(4)
10.4 Varying Flavors: Heavy-To-Light Form Factors
239(5)
10.5 Sum Rules With B-Meson Distribution Amplitudes
244(7)
Appendix A Collection of useful formulas 251(14)
Appendix B Decay amplitudes and widths 265(10)
Appendix C Parameterization and z-expansion of form factors 275(4)
Appendix D The pion light-cone distribution amplitudes 279(4)
Bibliography 283(8)
Index 291
Alexander Khodjamirian is a professor at the Department of Physics, University of Siegen, Germany. Dr. Khodjamirian received his PhD degree in theoretical physics from the Yerevan Physics Institute in 1980, where he later worked as a staff member in the Theory Division. In 1992 he moved to Germany, first as a Humboldt Fellow at Ludwig-Maximilian University in Munich, then as a research associate and visitor at various universities and research centers in Germany and Europe (LMU in Munich, University of Wurzburg, NBI in Copenhagen, CERN, University of Lund, University of Karlsruhe). From 2004 he worked as a senior staff scientist, before becoming a professor at the University of Siegen in 2009. Prof. Dr. Khodjamirian is a foreign member of the Armenian National Academy of Sciences. He is highly respected in his field of scientific research, which is theoretical particle physics, quantum chromodynamics and the phenomenology of hadrons.