Construction of three-quark wave functions with definite symmetry

1 Introduction 3

2 General symmetry properties 5
2.1 Jacobi spatial variables and mixed-symmetry quantities 5

3 The Spin 8
3.1 Three-fermion spin functions and their symmetry properties 8

4 The Isospin 10
4.1 Isospin and nuclear interactions 10
4.2 Isospin of the quarks up and down 13
4.3 Linear combinations of the spin and isospin functions 15

5 The Color 16
5.1 The puzzle of the Δ resonance wave function 16
5.2 The Introduction of Color 18
5.3 Final comments and remarks 19

6 The spatial part of the wave function 20
6.1 The NR HO model 20
6.2 Spatial wave functions with definite symmetry 23
6.3 Comments and developments 25

7 Construction of the total wave function 27
7.1 The low-lying states wave functions 27

8 Quark model Hamiltonians 28
8.1 The relativistic kinetic energy 29
8.2 The interaction operator 29

9 The magnetic moment of the nucleon 31
9.1 The magnetic moment of spin 1/2 particles 31
9.2 The quark model calculation 33