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- W120462313 startingPage "2454" @default.
- W120462313 abstract "The mixing angle between the two ${J}^{P}={1}^{+}$ kaons (${K}_{A}$ and ${K}_{C}$) and the decay coupling constants of the ${A}_{1}$, $B$, ${K}_{A}$ and ${K}_{C}$ mesons are calculated with the $mathrm{SU}(3)ifmmodetimeselsetexttimesfi{}mathrm{SU}(3)$ chiral algebra. These results are used to calculate the widths of the ${K}_{A}$ and ${K}_{C}$ mesons, which are found to be in reasonable agreement with present experiments. The method used is the asymptotic $mathrm{SU}(3)$ symmetry due to Matsuda and Oneda---i.e., the charge operator ${V}_{K}$, which is an $mathrm{SU}(3)$ raising or lowering operator in the symmetry limit, still acts as a generator in the broken symmetry in an appropriately chosen infinite-momentum limit. For the axial charge ${A}_{ensuremath{pi}}$, the hypothesis of partially conserved axial-vector current is used. One uses the commutators $[{V}_{{K}^{0}},{A}_{{ensuremath{pi}}^{ensuremath{-}}}]=0$ and $[{V}_{{K}^{0}},{A}_{{ensuremath{pi}}^{ensuremath{-}}}]=0$, and inserts them between the ${K}^{*0}$ and $A_{1}^{}{}_{}{}^{+}$ states on the one hand and the ${K}^{*0}$ and ${B}^{+}$ states on the other. This gives eight sum rules involving the decay coupling constants of the ${A}_{1}$, $B$, ${K}_{C}$, and ${K}_{A}$ mesons, the masses of the ${J}^{P}={1}^{+},{1}^{ensuremath{-}}$ mesons, and the mixing angle between ${K}_{C}$ and ${K}_{A}$. From these sum rules and the ratio $frac{ensuremath{Gamma}({A}_{1}ensuremath{rightarrow}ensuremath{rho}ensuremath{pi})}{ensuremath{Gamma}(Bensuremath{rightarrow}ensuremath{omega}ensuremath{pi})}$, one can derive the value of the mixing angle. Using the values of $ensuremath{Gamma}({A}_{1}ensuremath{rightarrow}ensuremath{rho}ensuremath{pi})$ and $ensuremath{Gamma}(Bensuremath{rightarrow}ensuremath{omega}ensuremath{pi})$, one obtains all the coupling constants and can calculate the rates of ${K}_{C}$ and ${K}_{A}$ decays." @default.
- W120462313 created "2016-06-24" @default.
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- W120462313 date "1969-02-25" @default.
- W120462313 modified "2023-10-17" @default.
- W120462313 title "Determination of the Decay Coupling Constants and Mixing Angle ofJP=1+Mesons" @default.
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- W120462313 doi "https://doi.org/10.1103/physrev.178.2454" @default.
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