Quarks, Baryons and Chiral Symmetry

Describes baryon models constructed from quarks, mesons and chiral symmetry. Tools and ideas are explained in detail while solving actual problems.

Preface

vii

Ingredients of the Standard Model

1

(10)

Strong Interaction - QCD

1

(3)

Electroweak Theory

4

(3)

CKM Mass Matrix

7

(4)

Symmetries and Wave Functions

11

(52)

Why is Symmetry Important?

12

(3)

Symmetry Current

15

(4)

SU(2)

19

(5)

SU(3)

24

(14)

Multi-Particle States

38

(10)

Product-States

48

(4)

Quark Model Wave Functions

52

(11)

Chiral Symmetry

63

(28)

Lorentz Group and Chiral Fermions

63

(11)

Chiral Group

74

(6)

Spontaneous Breaking of Chiral Symmetry

80

(11)

The Sigma Model

91

(26)

Linear Sigma Model

91

(6)

Non-Linear Sigma Model

97

(12)

Fermion Field

109

(8)

Chiral Bag Model

117

(52)

The MIT Bag Model

117

(10)

The Little Bag Model

127

(8)

The Skyrme Model

135

(3)

The Chiral Bag Model

138

(7)

Chiral Casimir Effects

145

(14)

The Hedgehog Solution

159

(10)

Nucleon Properties

169

(74)

Semiclassical Method

170

(8)

Isopin Rotation of the Hedgehog Solution

178

(13)

Axial Properties

191

(18)

Non-rigid Quantization of the Skyrmion

209

(6)

Electromagnetic Properties

215

(11)

Chiral Bag with Vector Mesons

226

(17)

Large-Nc Baryons

243

(42)

Introduction

244

(1)

General Counting Rules

245

(11)

Counting Rules for Solitons

256

(5)

Large-Nc Algebra for Baryons

261

(7)

Finite Nc

268

(5)

Other Representation and gA

273

(5)

Meson-Baryon System

278

(7)

Excited Baryons

285

(38)

Systematics in Baryon Masses

286

(5)

Quarks in a Deformed Oscillator Potential

291

(6)

Electromagnetic Transitions

297

(26)

Appendix

323

(33)

A Harmonic Oscillator Wave Function

323

(5)

B Quantization of Collective Motion

328

(5)

C Quantization of Hedgehog Rotation

333

(6)

D Moment of Inertia

339

(2)

E Quark Contributions to gA and gA(0) of Order Ω1

341

(3)

F Magnetic Moment

344

(5)

G Equations of Motions for Vector Mesons

349

(7)

H Computation in the Spherical Basis

356

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