Hadrons andSU(3): A critical review
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Abstract
The spectroscopy of hadrons, both bosons and baryons, is critically examined with respect to the $\mathrm{SU}(3)$ classification scheme. This is done with respect to the Gell-Mann/Okubo mass formula and the partial decay rates of member states of individual $\mathrm{SU}(3)$ multiplet families. The agreement is exceedingly good. The baryons are catalogued into octets with ${J}^{P}=\frac{1}{{2}^{+}}, \frac{5}{{2}^{+}}, \mathrm{and} \frac{5}{{2}^{\ensuremath{-}}}$, nonets with ${J}^{P}=\frac{3}{{2}^{\ensuremath{-}}}, \frac{7}{{2}^{\ensuremath{-}}}, \mathrm{and} \frac{1}{{2}^{\ensuremath{-}}}$, and decimets with ${J}^{P}=\frac{3}{{2}^{+}} \mathrm{and} \frac{7}{{2}^{+}}$ Among the bosons, nonet structure is well established for ${J}^{\mathrm{PC}} \mathrm{multiplets}={0}^{\ensuremath{-}+}, {1}^{\ensuremath{-}\ensuremath{-}}, \mathrm{and} {2}^{++}$, with less firm evidence existing for a host of other multiplets, ${J}^{\mathrm{PC}}={0}^{++}, {1}^{+\ensuremath{-}}, {1}^{\ensuremath{-}+}, {2}^{\ensuremath{-}\ensuremath{-}},{2}^{\ensuremath{-}+} \mathrm{and} {3}^{\ensuremath{-}\ensuremath{-}}$.
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