Omega meson

The omega meson (Omega meson) is a flavourless meson formed from a superposition of an up quark–antiquark and a down quark–antiquark pair. It is part of the vector meson nonet and mediates the nuclear force along with pions and rho mesons.

Properties
The most common decay mode for the ω meson is Pion+Pion0Pion- at 89.2±0.7%, followed by Pion0Gamma at 8.34±0.26%.

The quark composition of the Omega meson meson can be thought of as a mix between up quarkup antiquark, down quarkdown antiquark and strange quarkstrange antiquark states, but it is very nearly a pure symmetric up quarkup antiquark-down quarkdown antiquark state. This can be shown by deconstructing the wave function of the Omega meson into its component parts. We see that the Omega meson and Phi meson mesons are mixtures of the SU(3) wave functions as follows.
 * $$\omega = \psi_8 \sin\theta + \psi_1 \cos\theta$$,
 * $$\phi = \psi_8 \cos\theta - \psi_1 \sin\theta$$,

where
 * $$\theta$$ is the nonet mixing angle,
 * $$\psi_1 = \frac{u\overline{u} + d\overline{d} + s\overline{s}}{\sqrt{3}}$$ and
 * $$\psi_8 = \frac{u\overline{u} + d\overline{d} - 2s\overline{s}}{\sqrt{6}}$$.

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