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arXiv · 1712.09492

Kaonic deuterium and low-energy antikaon-nucleon interaction

Wataru Horiuchi·Tetsuo Hyodo·Wolfram Weise
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Abstract

A new evaluation of the $1s$ level shift and width of kaonic deuterium is presented based on an accurate $\bar{K}NN$ three-body calculation, using as input a realistic antikaon-nucleon interaction constrained by the SIDDHARTA kaonic hydrogen data. The three-body Schr\"odinger 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 $E\simeq 0.67$ keV and $\Gamma\simeq 1.02$ keV, with estimated uncertainties at the 10% level.

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Wataru Horiuchi, Tetsuo Hyodo, Wolfram Weise. 2017-12-27. Kaonic deuterium and low-energy antikaon-nucleon interaction. https://doi.org/10.1051/epjconf%2F201818101006

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