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Omega meson
Meson that is a superposition of an up quark–antiquark and a down quark–antiquark pair
Meson that is a superposition of an up quark–antiquark and a down quark–antiquark pair
| Field | Value |
|---|---|
| name | Omega meson |
| num_types | 1 |
| composition | ω: \approx \frac{u\bar{u}+d\bar{d |
The 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 at , followed by at .
| Particle name | Particle | |||||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| symbol | Antiparticle | |||||||||||||||||
| symbol | Quark | |||||||||||||||||
| content | Rest mass (MeV/*c*2) | *IG* | *JPC* | *S* | *C* | *B'* | Mean lifetime (s) | Commonly decays to | ||||||||||
| url=https://pdg.lbl.gov/2021/listings/rpp2021-list-omega-782.pdf | title=Particle listing – ω(782) | first=P. A. | last=Zyla | orig-year=2020 | year=2021 | publisher=Particle Data Group | access-date=June 9, 2021}} | (782) | Self | \frac{u\bar{u}+d\bar{d}}{\sqrt{2}} | 782.66 ± 0.13 | 0− | 1−− | 0 | 0 | 0 | ++ or | |
| + |
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. : \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 meson is nearly a pure symmetric – state.
References
References
- Nambu, Yoichiro. (April 25, 1957). "Possible Existence of a Heavy Neutral Meson". Physical Review.
- (August 14, 1961). "Evidence for a T=0 three-pion resonance". Physical Review Letters.
- Maglich, B.. (1976). "Discovery of omega meson-first neutral vector meson: one researcher's personal account – Discovery story". Advanced Experimental Physics.
- Gell-Mann, M.. (March 15, 1961). "The Eightfold Way: A Theory of Strong Interaction Symmetry". California Inst. of Tech., Synchrotron Laboratory.
- Ne'eman, Y.. (August 1961). "Derivation of Strong Interactions from a Gauge Invariance". North-Ho lland Publishing Co..
- Zyla, P. A.. (2021). "Particle listing – ω(782)". [[Particle Data Group]].
- (August 2019). "15. Quark Model". [[Particle Data Group]].
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