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The $K^-pp$ system is investigated using a variational approach withrealistic two-body interactions: the Argonne v18 $NN$ potential and an energydependent $\bar{K}N$ effective interaction derived from chiral SU(3)coupled-channel dynamics. Uncertainties in subthreshold extrapolations of the$\bar{K}N$ interaction are considered. A weakly bound $K^-pp$ state is found,with a binding energy $B = (19\pm 3)$ MeV substantially smaller than suggestedin previous calculations. The decay width $\Gamma(K^-pp\to \pi\Sigma N)$ isestimated to range between about 40 and 70 MeV.

$K^-pp$ system with chiral SU(3) effective interaction