Some Consequences ofSU(3)and Charge-Conjugation Invariance forK-Meson Resonances

Abstract

Implications of invariance of strong interactions under $\mathrm{SU}\left(3\right)\mathrm{}$ and charge conjugation are investigated for $K$-meson resonances (i.e., systems which are not eigenstates of $C$). It is pointed out that the charge-conjugation eigenvalue of the neutral nonstrange members of multiplets is determined by the decays (mesonic or electromagnetic) of the strange members. The $K^{\prime }\mathrm{}\left(1320\right)\mathrm{}$, $K^{\prime }\mathrm{}\left(1420\right)\mathrm{}$, and $K^{\prime }\mathrm{}\left(1800\right)\mathrm{}$ are considered as examples. Possibilities for study of symmetry breaking and particle mixing in kaon resonance decays are mentioned; they may provide practical methods for studying symmetry breaking.