Light kaonic atoms: from "corrected" to "summed up" Deser formula

Abstract

Accuracy of "corrected Deser" and "summed up Deser" formulas was checked for the $K^{-}p$ and $K^{-}d$ systems. It was found that the last one is much more accurate and should be used for connection the $1s$ level shift to the corresponding scattering length.

3 pages, 2 tables; small changes in the text, several references were added

References in corpus (5)

• The role of nucleon recoil in low-energy antikaon-deuteron scattering
• Kaonic hydrogen versus the $K^{-}p$ low energy data
• Recoil corrections in antikaon-deuteron scattering
• Three-body antikaon-nucleon systems
• Three-body calculation of the $1s$ level shift in kaonic deuterium with realistic $\bar{K}N$ potentials