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

TL;DR

This paper investigates the impact of nucleon recoil in low-energy antikaon-deuteron scattering using effective field theory, revealing a small correction of about 10-15% to the static approximation.

Contribution

It demonstrates that the leading recoil correction cancels out at order xi^{1/2}, providing a refined understanding of recoil effects in scattering calculations.

Findings

Recoil correction is approximately 10-15% of the static term.

Leading order recoil correction cancels due to large contributions.

Method applicable to multiple-scattering diagram calculations.

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.