We use the effective-potential method of Balázs, applied earlier to $\pi \pi$ and $\pi K$ scattering, to calculate isospin-0 $K\overline{K}$ scattering, taking into account $\rho$, $\omega$, $f$, and $A_2$ exchange, with parameters determined from experiment and SU(3), as well as $\phi$ exchange. We obtain self-consistent values of 1008 MeV and 0.14 for the mass and reduced width of the $\phi$ in the $K\overline{K}$ channel, compared with experimental values of 1020 MeV and 0.23. Using $\phi$ exchange with the self-consistent values of the parameters, together with the other exchanges, then yields an $f^{\prime }$ meson with mass and $K\overline{K}$ partial width of 1540 MeV and 31 MeV, compared with experimental values of 1514 MeV and 53 MeV. We also correct a numerical error in the earlier $K^{*}$ boot-strap calculation, and make some general comments on the comparison of the pattern of vector and tensor masses and widths obtained using the method with experiment; the over-all results appear encouraging.

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