From Sakata Model to Goldberg-Ne'eman Quarks and Nambu QCD Phenomenology and "Right" and "Wrong" experiments
| dc.creator | Lipkin, Harry J. | |
| dc.date | 2007-01-04 | |
| dc.date | 2007-01-31 | |
| dc.date.accessioned | 2026-07-07T11:58:58Z | |
| dc.date.available | 2026-07-07T11:58:58Z | |
| dc.description | 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 $Ξ^*$ and $Ω^-$. More "good" experiments revealed the existence and mass of the $Ξ^*$ and the $Ω^-$ 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 $ϕ\to ρπ$ decay. These led to the quark triplet model. The paradox of peculiar statistics then arose as the $Δ^{++}$ and $Ω^-$ 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 $pnΛ$ 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. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0701032 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0701032 | |
| dc.identifier | Prog.Theor.Phys.Suppl.167:155-162,2007 | |
| dc.identifier | doi:10.1143/PTPS.167.155 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/206408 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | From Sakata Model to Goldberg-Ne'eman Quarks and Nambu QCD Phenomenology and "Right" and "Wrong" experiments | |
| dc.type | text |