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.

arXiv comment3 pages, 2 tables; small changes in the text, several references were added

References in corpus (12)

• A New Measurement of Kaonic Hydrogen X rays
• Spectrum and decays of kaonic hydrogen
• Near-threshold $K^{-}d$ scattering and properties of kaonic deuterium
• One- versus two-pole $\bar{K}N-\pi \Sigma$ potential: $K^{-}d$ scattering length
• The role of nucleon recoil in low-energy antikaon-deuteron scattering
• Kaonic hydrogen versus the $K^{-}p$ low energy data
• Faddeev calculations of the $\bar{K}NN$ system with chirally-motivated $\bar{K}N$ interaction. I. Low-energy $K^{-}d$ scattering and antikaonic deuterium
• Isospin mixing effects in low-energy $\bar{K}N-\pi \Sigma$ interaction
• 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
• Are the chiral based $\bar{K}N$ potentials really energy dependent?