Towards a field theoretical understanding of kaonic deuterium: leading order retardation effects

Antikaon-deuteron scattering is studied at low energies within the non-relativistic effective field theory (EFT) approach. The largest contribution to the

\bar K d

scattering length stems from the multiple scattering series with infinitely heavy (static) nucleons. While the leading static contribution is inherently non-perturbative and requires resummation, the correction to the scattering length due to the nucleon recoil (retardation) effect is amenable to the perturbative treatment with respect to the small parameter ξ=M

_{K}

/m

_{N}

. 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 leading recoil effect turns out to be reasonably small and contributes less than 10 % to the scattering length.

36.10.Gv
12.39.Fe
13.75.Cs
13.75.Jz
Kaonic atoms
EFT
Nucleon recoil
higher-order: 1
K- deuteron: scattering
nucleon: recoil

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Figures(0)

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