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Generalized isospin, generalized mass groups, and generalized Gell-Mann--Okubo formalism | | N. Beaudoin
; G. Landry
; R. Sandapen
; | | Date: |
2 Sep 2013 | | Abstract: | The current concepts of isospin and baryon mass groups are only well-adapted
to deal with baryon multiplets involving both the u and d quarks, and some
other quark k. In this paper, we generalize isospin and mass groups to
accommodate baryon multiplets involving quarks of any flavor, and the
Gell-Mann--Okubo (GMO) formalism is generalized accordingly. Generalized
isospin proves to be a simple and valuable framework when working in non-udk
baryon multiplets, and provides new quantum numbers that allows us to
distinguish Lambda-like baryons from Sigma-like baryons in the non-udk
multiplets. The generalized GMO formalism allows us to quantify the quality of
flavor symmetries seen in baryon multiplets, and also allows us to predict the
masses of all observable J^P = 1/2^+ and 3/2^+ baryons with an estimated
accuracy on the order of 50 MeV in the worst cases, on mass scales that span
anywhere from 1000 MeV to 15000 MeV. | | Source: | arXiv, 1309.0517 | | Services: | Forum | Review | PDF | Favorites | |
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