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I am trying to work through a problem in the textbook "Particle Physics in a Nutshell." However, I am realizing how little I actually understand about working through problems involving quark color pairs.

Given in the problem is the meson color singlet [tex]1/\sqrt{3}(r\bar{r}+g\bar{g}+b\bar{b})[/tex] which I understand. The problem asks to rotate this state by θ with the first Gell-Mann matrix as the generator.

I understand that I should be operating with a rotation operator [tex]e^{-i\theta\lambda_1}[/tex]

but I am not sure what I should be operating

I have not been able to find anything that might point me in the right direction in the textbook or online. Once I know how to work with these color/anticolor components I should be able to progress.

Thanks,

W

Given in the problem is the meson color singlet [tex]1/\sqrt{3}(r\bar{r}+g\bar{g}+b\bar{b})[/tex] which I understand. The problem asks to rotate this state by θ with the first Gell-Mann matrix as the generator.

I understand that I should be operating with a rotation operator [tex]e^{-i\theta\lambda_1}[/tex]

but I am not sure what I should be operating

*on,*exactly*.*

I have not been able to find anything that might point me in the right direction in the textbook or online. Once I know how to work with these color/anticolor components I should be able to progress.

Thanks,

W

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