<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>η</mml:mi><mml:mo>−</mml:mo><mml:mi>d</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mi>−</mml:mi></mml:mrow></mml:msup></mml:mrow><mml:mo>−</mml:mo><mml:mi>d</mml:mi></mml:math>zero-energy scattering: A Faddeev approach

The $\ensuremath{\eta}\ensuremath{-}d$ scattering length ${A}_{\ensuremath{\eta}d}$ has been calculated using as input a variety of possible $\ensuremath{\eta}\ensuremath{-}N$ scattering length values that have been presented in the literature. The calculated ${A}_{\ensuremath{\eta}d}$ are in perfect agreement with the values obtained previously by summation of multiple-scattering series but we disagree with another Faddeev-type calculation. We show that the present $\ensuremath{\eta}\ensuremath{-}N$ data rule out the possibility of a quasibound $\ensuremath{\eta}\ensuremath{-}d$ state. The imaginary part of the ${K}^{\ensuremath{-}}\ensuremath{-}d$ scattering length calculated by using a single-channel absorptive ${K}^{\ensuremath{-}}$-nucleon interaction is found to be in good agreement with the value obtained from the full multichannel approach but the mismatch in the corresponding real parts is about 40%.

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