Abstract
The effect of the nucleon recoil for the antikaon-deuteron scattering is investigated in the framework of the effective field theory. In particular, we concentrate on the calculation of the nucleon recoil effect for the double-scattering process. It is shown that the leading correction to the static term that emerges at order \( \xi^{{1/2}}_{}\) with \( \xi\) = M K/m N vanishes due to a complete cancellation of individually large contributions. The resulting recoil effect in this process is found to be of the order of 10-15% as compared to the static term. We also briefly discuss the application of the method in the calculations of the multiple-scattering diagrams.
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