Kaonic deuterium and low-energy antikaon-nucleon interaction

Abstract

A new evaluation of the 1s level shift and width of kaonic deuterium is presented based on an accurate K̅ NN three-body calculation, using as input a realistic antikaon-nucleon interaction constrained by the SIDDHARTA kaonic hydrogen data. The three-body Schrödinger equation is solved with a superposition of a large number of correlated Gaussian basis functions extending over distance scales up to several hundred fm. The resulting energy shift and width of the kaonic deuterium 1s level are △E ≃ 0:67 keV and Γ ≃ 1.02 keV, with estimated uncertainties at the 10 % level.