Faddeev Calculation of a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>K</mml:mi><mml:mo>−</mml:mo></mml:msup><mml:mi>p</mml:mi><mml:mi>p</mml:mi></mml:math>Quasibound State

We report on the first genuinely three-body $\overline{K}NN\ensuremath{-}\ensuremath{\pi}\ensuremath{\Sigma}N$ coupled-channel Faddeev calculation in search for quasibound states in the ${K}^{\ensuremath{-}}pp$ system. The main absorptivity in the ${K}^{\ensuremath{-}}p$ subsystem is accounted for by fitting to ${K}^{\ensuremath{-}}p$ data near threshold. Our calculation yields one such quasibound state, with $I=1/2$, ${J}^{\ensuremath{\pi}}={0}^{\ensuremath{-}}$, bound in the range $B\ensuremath{\sim}55--70\text{ }\text{ }\mathrm{MeV}$, with a width of $\ensuremath{\Gamma}\ensuremath{\sim}90--110\text{ }\text{ }\mathrm{MeV}$. These results differ substantially from previous estimates, and are at odds with the ${K}^{\ensuremath{-}}pp\ensuremath{\rightarrow}\ensuremath{\Lambda}p$ signal observed by the FINUDA collaboration.

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