Omega meson

 ( Mesons ) 

The quark composition of the meson can be thought of as a mix between , and states, but it is very nearly a pure symmetric – state. This can be shown by deconstructing the wave function of the into its component parts. We see that the and mesons are mixtures of the SU(3) wave functions as follows.

$\backslash omega\; =\; \backslash psi\_8\; \backslash sin\backslash theta\; +\; \backslash psi\_1\; \backslash cos\backslash theta$,

$\backslash phi\; =\; \backslash psi\_8\; \backslash cos\backslash theta\; -\; \backslash psi\_1\; \backslash sin\backslash theta$,

where

$\backslash theta$ is the nonet mixing angle,

$\backslash psi\_1\; =\; \backslash frac\{u\backslash overline\{u\}\; +\; d\backslash overline\{d\}\; +\; s\backslash overline\{s\}\}\{\backslash sqrt\{3\}\}$ and

$\backslash psi\_8\; =\; \backslash frac\{u\backslash overline\{u\}\; +\; d\backslash overline\{d\}\; -\; 2s\backslash overline\{s\}\}\{\backslash sqrt\{6\}\}$.

The mixing angle at which the components decouple completely can be calculated to be $\backslash arctan\backslash frac\{1\}\{\backslash sqrt\{2\}\}\backslash approx35.3^\backslash circ$, which almost corresponds to the actual value calculated from the masses of 35°. Therefore, the meson is nearly a pure symmetric – state.

• List of mesons
• Quark model
• Vector meson