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*
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Structures in Micro Objects
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*
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Isospin-Multiplets in SU(3)-Supermultiplets
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Patterns of the "Eightfold Way"
by Murray Gell-Mann and Yuval Ne'eman, 1961
consolidated with the Quark Model of Hadrons
by Murray Gell-Mann and George Zweig, 1964
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Pattern in dependence on the Strangeness (S) and Charge Quantum Number (q)
for the 9 Mesons with Spin 0 (Scalar Mesons):
Octet Representation of the Special Unitary Group SU(3) with
Isospin-Doublet (Ko,K+), -Triplet (pi),
-Doublet (K-,K'o), -Singulets (etao),(eta'o)
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q=0
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q=1
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Ko
(ds*)
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-
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K+
(us*)
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S=1
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/
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\
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\
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pi-
(du*)
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pio
(uu*) + (dd*)
etao,eta'o
(uu*) + (dd*) + 2(ss*)
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pi+
(ud*)
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S=0
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\
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\
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/
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K-
(su*)
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-
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K'o
(sd*)
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S=-1
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q=-1
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q=0
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Supplement for Charm Quantum Number C = 1:
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q=1
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F+
(cs*)
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S=1
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/
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\
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Do
(cu*)
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-
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D+
(cd*)
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S=0
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q=0
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Supplement for Charm Quantum Number C = 0:
Supplement for Charm Quantum Number C = -1:
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q=0
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D-
(dc*)
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-
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D'o
(uc*)
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S=0
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\
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/
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F-
(sc*)
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S=-1
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q=-1
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Pattern in dependence on the Strangeness (S) and Charge Quantum Number (q)
for the 9 Mesons with Spin 1 (Vector Mesons):
Octet Representation of the group SU(3) with
Isospin-Doublet (K*o,K*+), -Triplet (rho),
-Doublet (K*-,K'*o), -Singulets (omegao),(Phio)
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q=0
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q=1
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K*o
(ds*)
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-
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K*+
(us*)
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S=1
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/
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\
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\
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rho-
(du*)
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rhoo,omegao
(uu*) + (dd*)
Phio
(ss*)
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rho+
(ud*)
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S=0
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\
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\
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/
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K*-
(su*)
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-
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K'*o
(sd*)
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S=-1
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q=-1
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q=0
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Supplement for Charm Quantum Number C = 0:
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Pattern in dependence on the Strangeness (S) and Charge Quantum Number (q)
for the 8 Baryons with Spin 1/2:
Octet Representation of the Special Unitary Group SU(3) with
Isospin-Doublet (N)=(n,p), -Triplet (Sigma), -Doublet (Xi), -Singulet (Lambdao)
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q=0
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q=1
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n
(udd)
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-
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p
(uud)
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S=0
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/
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\
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\
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Sigma-
(dds)
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Sigmao
(uds)
Lambdao
(uds)
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Sigma+
(uus)
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S=-1
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\
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\
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/
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Xi-
(dss)
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-
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Xio
(uss)
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S=-2
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q=-1
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q=0
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Supplement for Charm Quantum Number C = 1:
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q=1
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q=2
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C1o
(ddc)
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-
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C1+
(udc)
Lambdac+
(udc)
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-
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C12+
(uuc)
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S=0
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\
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/
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So,Ao
(dsc)
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S+,A+
(usc)
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S=-1
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\
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/
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To
(ssc)
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S=-2
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q=0
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Supplement for Charm Quantum Number C = 2:
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q=2
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Xd+
(dcc)
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-
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Xu2+
(ucc)
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S=0
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\
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/
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Xs+
(scc)
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S=-1
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q=1
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Pattern in dependence on the Strangeness (S) and Charge Quantum Number (q)
for the 10 Baryons with Spin 3/2:
Dekuplet Representation of the group SU(3) with
Isospin-Quartet (Delta), -Triplet (Sigma*), -Doublet (Xi*), -Singulet (Omega-)
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q=0
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q=1
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q=2
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Delta-
(ddd)
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-
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Deltao
(udd)
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-
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Delta+
(uud)
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-
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Delta2+
(uuu)
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S=0
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\
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\
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\
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/
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Sigma*-
(dds)
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Sigma*o
(uds)
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Sigma*+
(uus)
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S=-1
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\
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\
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/
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Xi*-
(dss)
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Xi*o
(uss)
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S=-2
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\
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/
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Omega-
(sss)
|
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S=-3
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q=-1
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