Аннотация:We have extended and improved our previous studies of the $\mathrm{qq}\overline{q}\overline{q}$ system, paying special attention to the $K\overline{K}$ channels. The new results clarify and reinforce the $K\overline{K}$ molecule interpretation of the ${S}^{*}$ and $\ensuremath{\delta}$. Effective meson-meson potentials extracted from the $\mathrm{qq}\overline{q}\overline{q}$ system and couplings to $q\overline{q}$ scalar mesons lead to coupled-channel amplitudes which closely resemble those observed in both the ${S}^{*}$ and $\ensuremath{\delta}$ channels. We also show that the $K\overline{K}$ molecules have properties consisent with experimental results on the production of the ${S}^{*}$ and $\ensuremath{\delta}$ and of low-mass $K\overline{K}$ pairs.