# Color Singlets Formation

## Main Question or Discussion Point

I am trying to conceptually understand how form a color singlet for baryons and mesons. For example, the Wikipedia article http://en.wikipedia.org/wiki/Isospin shows how to construct the proton and neutron states in terms of isospin and spin. How does one create a color singlet corresponding to these states?

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Orodruin
Staff Emeritus
Homework Helper
Gold Member
Each of the valence quarks carry a colour charge. The completely anit-symmetric colour state containing three objects in the fundamental (3) representation of SU(3) is a colour singlet.

ChrisVer
Gold Member
The color (r,g,b) symmetry is pretty much like the flavor symmetry for 3 flavors (u,d,s)...
So you form a singlet out of colors, in the same way you can form a singlet of three flavors (which is antisymmetric) ...

yes, I understand the formation of the color singlet from 3 x 3 x 3 = 1 + 8. What I don't understand is how you create a proton wavefunction that embodies spin 1/2, isospin 1/2 and is colorless. In the Wikipedia article, the wf is the product of 3 matrices. To create a colorless photon do you just multiply these by some kind of 'color' matrix that produces the desired result?

Orodruin
Staff Emeritus