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

Abstract

The $K^{-}pp$ system is investigated using a variational approach with realistic two-body interactions: the Argonne v18 $NN$ potential and an energy dependent $\bar{K}N$ 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 suggested in previous calculations. The decay width $\Gamma (K^{-}pp\to \pi \Sigma N)$ is estimated to range between about 40 and 70 MeV.

Comments: 11 pages, submitted to Nuclear Physics A