The nucleon recoil effect in antikaon-deuteron scattering at threshold

TL;DR

This paper examines the impact of nucleon recoil in antikaon-deuteron scattering at threshold using effective field theory, revealing that leading recoil corrections cancel in double scattering and higher-order corrections are about 10-15%.

Contribution

It provides a detailed calculation of recoil corrections in antikaon-deuteron scattering, showing the cancellation of leading terms and analyzing the convergence pattern of the expansion.

Findings

Leading recoil correction cancels in double scattering.

Higher order recoil corrections are approximately 10-15% of static terms.

The expansion method shows good convergence pattern.

Abstract

We investigate the role of the nucleon recoil for antikaon-deuteron scattering using EFT. In particular, we show that the leading correction to the static term that appears at order $\xi^{1/2}$ (where $\xi=m_K/M_N$) cancels completely in the double scattering process. We calculate the higher order recoil corrections and study the pattern of convergence of the expansion method. We find that the recoil correction to the double scattering process is of order of 10-15% of the static contribution.