The role of nucleon recoil in low-energy antikaon-deuteron scattering

Abstract

The effect of the nucleon recoil for antikaon-deuteron scattering is investigated in the framework of 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 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.

16 pages, 4 figures

References in corpus (3)

• Kaon-nucleon scattering lengths from kaonic deuterium experiments
• Hadronic atoms in QCD + QED
• Kaonic hydrogen versus the $K^{-}p$ low energy data

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• Pole analysis for the $D^{\ast }\bar{K}$-$D\overline{K^{\ast }}$ coupled-channel system
• On the width of the $K^{-}$D atom ground state
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