From Sakata model to Goldberg-Ne'eman quarks and Nambu QCD phenomenology and "right" and "wrong" experiments.
The basic theoretical milestones were the Sakata SU(3) symmetry, the Goldberg-Ne'eman composite model with SU(3) triplets having baryon number (1/3) and the Nambu color gauge Lagrangian. The transition was led in right and wrong directions by experiments interpreted by phenomenology. A 'good' experiment on {bar p}p annihilation at rest showed that the Sakata model predictions disagreed with experiment. A 'bad' experiment prevented the use of the Goldberg-Ne'eman triplet model to predict the existence and masses of the of the {Xi} and {Omega}{sup -}. More 'good' experiments revealed the existence and mass of the {Xi}* and the {Omega}{sup -} and the absence of positive strangeness baryon resonances, thus confirming the 'tenfold way'. Further 'good experiments' revealed the existence of the vector meson nonet, SU(3) breaking with singlet-octet mixing and the suppression of the {phi} {yields} {rho} {pi} decay. These led to the quark triplet model. The paradox of peculiar statistics then arose as the {Delta}{sup ++} and {Omega}{sup -} contained three identical spin-1/2 fermions coupled symmetrically to spin (3/2). This led to color and the Nambu QCD. The book 'Lie Groups for Pedestrians' used the Sakata model with the name 'sakaton' for the {Lambda} triplet to teach the algebra of SU(3) to particle physicists in the U.S. and Europe who knew no group theory. The Sakata model had a renaissance in hypernuclear physics in the 1970's.
- Research Organization:
- Argonne National Laboratory (ANL)
- Sponsoring Organization:
- SC
- DOE Contract Number:
- AC02-06CH11357
- OSTI ID:
- 919728
- Report Number(s):
- ANL-HEP-CP-07-8
- Conference Information:
- Journal Name: Prog. Theor. Phys. Suppl. Journal Issue: 2007 Journal Volume: 167
- Country of Publication:
- United States
- Language:
- ENGLISH
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