Low-EnergyK¯−dScattering

The magnitude of recoil and binding effects in the multiple-scattering corrections to the impulse approximation in low-energy $\overline{K}-d$ scattering is examined by the introduction of a model which makes tractable the numerical evaluation of the double-scattering terms. The finite mass of the nucleons and the $n-p$ interaction in continuum states are both taken into account. It is concluded that estimates of multiple-scattering corrections which ignore these effects are not reliable. The model is used to compute the sum of the cross sections for $K^{-}+d\to K^{-}+d$, $K^{-}+d\to K^{-}+p+n$. Comparison with the rather limited data available in the region 100 to 200 MeV/c favors the so-called solution II found by Humphrey and Ross in their analysis of $\overline{K}-p$ data based on the Dalitz scattering lengths. A pseudopotential or optical-model-like approach to meson-deuteron scattering, which may be useful in other problems, is also described.