Negative Parity 70-plet Baryon Masses in the 1/N{sub c} Expansion

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The masses of the negative parity SU(6) 70-plet baryons are analyzed in the 1/N{sub c} expansion to order 1/N{sub c} and to first order in SU(3) breaking. At this level of precision there are twenty predictions. Among them there are the well known Gell-Mann Okubo and equal spacing relations, and four new relations involving SU(3) breaking splittings in different SU(3) multiplets. Although the breaking of SU(6) symmetry occurs at zeroth order in 1/N{sub c}, it turns out to be small. The dominant source of the breaking is the hyperfine interaction which is of order 1/N{sub c}. The spin-orbit interaction, of ... continued below

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Goity, Jose; Schat, Carlos L. & Scoccola, Norberto N. August 1, 2002.

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The masses of the negative parity SU(6) 70-plet baryons are analyzed in the 1/N{sub c} expansion to order 1/N{sub c} and to first order in SU(3) breaking. At this level of precision there are twenty predictions. Among them there are the well known Gell-Mann Okubo and equal spacing relations, and four new relations involving SU(3) breaking splittings in different SU(3) multiplets. Although the breaking of SU(6) symmetry occurs at zeroth order in 1/N{sub c}, it turns out to be small. The dominant source of the breaking is the hyperfine interaction which is of order 1/N{sub c}. The spin-orbit interaction, of zeroth order in 1/N{sub c}, is entirely fixed by the splitting between the singlet states A(1405) and A(1520), and the spin-orbit puzzle is resolved by the presence of other zeroth order operators involving flavor exchange.

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1214 Kilobytes pages

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  • Report No.: JLAB-THY-02-35
  • Report No.: DOE-ER/40150-2146
  • Grant Number: AC05-84ER40150
  • Office of Scientific & Technical Information Report Number: 801024
  • Archival Resource Key: ark:/67531/metadc743091

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  • August 1, 2002

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  • Oct. 19, 2015, 7:39 p.m.

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  • Feb. 5, 2016, 8:51 p.m.

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Goity, Jose; Schat, Carlos L. & Scoccola, Norberto N. Negative Parity 70-plet Baryon Masses in the 1/N{sub c} Expansion, article, August 1, 2002; Newport News, Virginia. (digital.library.unt.edu/ark:/67531/metadc743091/: accessed October 17, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.