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Omega meson

From Wikipedia, the free encyclopedia
Meson that is a superposition of an up quark–antiquark and a down quark–antiquark pair
Not to be confused withOmega baryon.
Omega meson
Compositionω:uu¯+dd¯2{\textstyle \approx {\frac {u{\bar {u}}+d{\bar {d}}}{\sqrt {2}}}}
StatisticsBosonic
FamilyMesons
InteractionsStrong,weak,electromagnetic,gravity
Symbolω
AntiparticleSelf
TheorizedYoichiro Nambu[1] (1957)
DiscoveredLawrence Berkeley National Laboratory (1961)[2][3]
Types1
Mass782.66±0.13 MeV/c2
Mean lifetime(7.58±0.11)×10−23 s
Decays intoπ+
+π0
+π
orπ0
+γ
Electric charge0e
Spin1
Isospin0
Hypercharge0
Parity−1
C parity−1

Theomega meson (ω) is aflavourlessmeson formed from asuperposition of anup quarkantiquark and adown quark–antiquark pair. It is part of thevector meson nonet[4][5] and mediates thenuclear force along withpions andrho mesons.

Properties

[edit]

The most common decay mode for the ω meson isπ+
π0
π
at89.2%±0.7%, followed byπ0
γ at8.34%±0.26%.[6]

Particle nameParticle
symbol
Antiparticle
symbol
Quark
content
Rest mass (MeV/c2)IGJPCSCB'Mean lifetime (s)Commonly decays to

(>5% of decays)

Omega meson[6]ω(782)Selfuu¯+dd¯2{\textstyle {\frac {u{\bar {u}}+d{\bar {d}}}{\sqrt {2}}}}782.66 ± 0.1301−−000(7.58±0.11)×10−23 sπ+
+π0
+π
 or
π0
+γ

The quark composition of theω meson can be thought of as a mix betweenuu,dd andss states, but it is very nearly a pure symmetricuudd state. This can be shown by deconstructing thewave function of theω into its component parts. We see that theω andϕ mesons are mixtures of theSU(3) wave functions as follows.[7]

ω=ψ8sinθ+ψ1cosθ{\displaystyle \omega =\psi _{8}\sin \theta +\psi _{1}\cos \theta },
ϕ=ψ8cosθψ1sinθ{\displaystyle \phi =\psi _{8}\cos \theta -\psi _{1}\sin \theta },

where

θ{\displaystyle \theta } is the nonet mixing angle,
ψ1=uu¯+dd¯+ss¯3{\displaystyle \psi _{1}={\frac {u{\overline {u}}+d{\overline {d}}+s{\overline {s}}}{\sqrt {3}}}} and
ψ8=uu¯+dd¯2ss¯6{\displaystyle \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 bearctan1235.3{\textstyle \arctan {\frac {1}{\sqrt {2}}}\approx 35.3^{\circ }}, which almost corresponds to the actual value calculated from the masses of 35°. Therefore, theω meson is nearly a pure symmetricuudd state.

See also

[edit]

References

[edit]
  1. ^Nambu, Yoichiro (April 25, 1957). "Possible Existence of a Heavy Neutral Meson".Physical Review.106 (6):1366–1367.Bibcode:1957PhRv..106.1366N.doi:10.1103/PhysRev.106.1366.
  2. ^Maglić, B. C.; Alvarez, L. W.; Rosenfeld, A. H.; Stevenson, M. L. (August 14, 1961). "Evidence for a T=0 three-pion resonance".Physical Review Letters.7 (5):178–182.Bibcode:1961PhRvL...7..178M.doi:10.1103/physrevlett.7.178.S2CID 121570977.
  3. ^Maglich, B. (1976)."Discovery of omega meson-first neutral vector meson: one researcher's personal account – Discovery story".Advanced Experimental Physics.5:79–105.
  4. ^Gell-Mann, M. (March 15, 1961).The Eightfold Way: A Theory of Strong Interaction Symmetry (Technical report).Pasadena, CA: California Inst. of Tech., Synchrotron Laboratory. p. 24.doi:10.2172/4008239. TID-12608.
  5. ^Ne'eman, Y. (August 1961). "Derivation of Strong Interactions from a Gauge Invariance".Nuclear Physics.26 (2). Amsterdam: North-Ho lland Publishing Co.:222–229.Bibcode:1961NucPh..26..222N.doi:10.1016/0029-5582(61)90134-1.
  6. ^abZyla, P. A. (2021) [2020]."Particle listing – ω(782)"(PDF).Particle Data Group. RetrievedJune 9, 2021.
  7. ^Amsler, C.; DeGrand, T.; Krusche, B. (August 2019)."15. Quark Model"(PDF).Particle Data Group. Retrieved9 June 2021.
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