Three-body calculation of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mn>1</mml:mn><mml:mi>s</mml:mi></mml:mrow></mml:math>level shift in kaonic deuterium with realistic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mover accent="true"><mml:mi>K</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mi>N</mml:mi></mml:mrow></mml:math>potentials

Révai, J.

doi:10.1103/physrevc.94.054001

Cited by 24 publications

(29 citation statements)

References 27 publications

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“…These values are roughly consistent with those found in a recent Faddeev calculation [9], although the basic interactions used there are different from ours. The results just outlined have been obtained using physical masses for the antikaons and for proton and neutron.…”

Section: Results For Kaonic Deuteriumsupporting

confidence: 82%

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Kaonic deuterium and low-energy antikaon-nucleon interaction

Horiuchi

Hyodo

Weise

2018

EPJ Web of Conferences

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Abstract.A new evaluation of the 1s level shift and width of kaonic deuterium is presented based on an accurateKNN 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.

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Section: Results For Kaonic Deuteriumsupporting

confidence: 82%

“…[7]. Recent advanced Faddeev computations [8,9] use separable potentials constrained by the SIDDHARTA kaonic hydrogen data and have evaluated the 1s K − d atomic state assuming isospin symmetry for theK and nucleon doublets. The present report gives a brief summary of recent work published in Ref.…”

Section: Introductionmentioning

confidence: 99%

Kaonic deuterium and low-energy antikaon-nucleon interaction

Horiuchi

Hyodo

Weise

2018

EPJ Web of Conferences

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“…However, the same coupling constant was used in Ref. [13], where an isospin model was actually employed based on a "charge isospin basis". This choice for α creates a correspondence between the isospin and particle models.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Following Ref. [13] we are considering the system N NK(s N N = 0) using the "particle representation" instead of the isospin formalism. Figure 1: The mass differences for the systems n +K 0 and p + K − .…”

Section: Introductionmentioning

confidence: 99%

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Particle representation for $NN{\bar K}$ system

Vlahović

Filikhin

Kezarashvili

2020

SciPost Phys. Proc.

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In the framework of the Faddeev equations in configuration space we perform an analysis of quasi-bound state of the NN{\bar K}NNK‾ system within a particle model. In our approach, the system NN{\bar K}(s_{NN}=0)NNK‾(sNN=0) (NN{\bar K}(s_{NN}=1))NNK‾(sNN=1)) is described as a superposition of ppK^{-}ppK− and pn{\bar K}^0pnK‾0 (nn{\bar K}^{0}nnK‾0 and pn{ K}^-pnK−) states, which is possible due to a particle transition. The relation of the particle model to the theory of a two-state quantum system is addressed and discussed taking into account the possibilities of deep and shallow NN{\bar K}(s_{NN}=0)NNK‾(sNN=0) quasi-bound states.

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