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- W2003283067 abstract "Octal symmetry (${R}_{8}=mathrm{group}mathrm{of}mathrm{rotations}mathrm{in}mathrm{eight}mathrm{dimensions}$) is applied to the strong interactions. If the existence of an octet $m$ and a singlet $ensuremath{lambda}$ of spinless mesons is assumed, a bootstrap mechanism allows the existence of 36 vector mesons with the coupling constants given by the ${R}_{9}$ group. Under ${R}_{8}ensuremath{subset}{R}_{9}$ the 36-plet of vector mesons splits in an octet ${v}^{ensuremath{'}}$ [with $ensuremath{eta}(780)$, $K(730)$, $ensuremath{pi}(560)$ as a possible identification] and a 28-plet $v$. From octal symmetry a multiplicative quantum number $N$ (block parity) is obtained which forbids the decay ${v}^{ensuremath{'}}ensuremath{rightarrow}m+m$ and perhaps explains the small width of this octet. A reasonable mass formula allows us to predict the masses of the $v$, ${v}^{ensuremath{'}}$ vector mesons and suitable candidates with the predicted masses are found. The partial widths for the $vensuremath{rightarrow}m+m$ decays are consistent with the experimental data and in particular with ${ensuremath{Gamma}}_{K(1175)ensuremath{rightarrow}Kensuremath{pi}}$, ${ensuremath{Gamma}}_{ensuremath{pi}(1220)ensuremath{rightarrow}ensuremath{pi}ensuremath{pi}}$ being small." @default.
- W2003283067 created "2016-06-24" @default.
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- W2003283067 date "1965-03-08" @default.
- W2003283067 modified "2023-09-25" @default.
- W2003283067 title "Unitary or Octal Symmetry?" @default.
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- W2003283067 doi "https://doi.org/10.1103/physrev.137.b1255" @default.
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