Recoil corrections in antikaon-deuteron scattering

Abstract

The recoil retardation effect in the $K^{-}d$ scattering length is studied. Using the non-relativistic effective field theory approach, it is demonstrated that a systematic perturbative expansion of the recoil corrections in the parameter $\xi =M_K/m_N$ is possible in spite of the fact that $K^{-}d$ scattering at low energies is inherently non-perturbative due to the large values of the $\bar{K}N$ scattering lengths. The first order correction to the $K^{-}d$ scattering length due to single insertion of the retardation term in the multiple-scattering series is calculated. The recoil effect turns out to be reasonably small even at the physical value of $M_K/m_N\simeq 0.5$.

arXiv comment16 pages, 7 figures

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