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Three-body calculation of the $1s$ level shift in kaonic deuterium with realistic $\bar{K}N$ potentials
Nuclear Theory · Submitted 5 Aug 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim The different results suggest, that the level shift should be in the range $\Delta E\sim(800\pm30)-(480\pm20){\rm i}\ \ eV$.
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The abstract, sentence by sentence
The $1s$ level shift in kaonic deuterium was calculated using Coulomb Sturmian expansion of Faddeev equations. The convergence of the method yields an $\sim\ 1\ eV$ accuracy for the level shifts. We used three different, realistic, multichannel $\bar{K}N$ interactions reproducing all known experimental two-body $\bar{K}N$ data. The different results suggest, that the level shift should be in the range $\Delta E\sim(800\pm30)-(480\pm20){\rm i}\ \ eV$. The (almost) exact level shifts were compared with values, given by the commonly used approximations.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | The $1s$ level shift in kaonic deuterium was calculated using Coulomb Sturmian expansion of Faddeev equations. | method 0.95 | 0.93 | 0.04 | asserted 1.00 |
| s1 | The convergence of the method yields an $\sim\ 1\ eV$ accuracy for the level shifts. | method 0.67 | 0.90 | 0.06 | asserted 0.99 |
| s2 | We used three different, realistic, multichannel $\bar{K}N$ interactions reproducing all known experimental two-body $\bar{K}N$ data. | method 0.97 | 0.94 | 0.04 | asserted 1.00 |
| s3 | The different results suggest, that the level shift should be in the range $\Delta E\sim(800\pm30)-(480\pm20){\rm i}\ \ eV$. | result 0.92 | 0.91 | 0.84 | hedged possibility 1.00 |
| s4 | The (almost) exact level shifts were compared with values, given by the commonly used approximations. | method 0.43 | 0.84 | 0.07 | asserted 0.92 |
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The paper
Original abstract
The $1s$ level shift in kaonic deuterium was calculated using Coulomb Sturmian expansion of Faddeev equations. The convergence of the method yields an $\sim\ 1\ eV$ accuracy for the level shifts. We used three different, realistic, multichannel $\bar{K}N$ interactions reproducing all known experimental two-body $\bar{K}N$ data. The different results suggest, that the level shift should be in the range $\Delta E\sim(800\pm30)-(480\pm20){\rm i}\ \ eV$. The (almost) exact level shifts were compared with values, given by the commonly used approximations.
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How the literature uses it
2 arXiv papers cite this in 5 sentences
Papers citing it · 3 sentences without a confident label
Compares with it 1 paper
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The two-body approximation used in [ref] , being compared to the more accurate approach of [ref] , gives very accurate value of the $1s$ level shift (the error is $≤2 %$), while the error for the width is larger ($≤9 %$).
Three-body antikaon-nucleon systems · Exact calculation of kaonic deuterium: results · 0.98
Cites it as background 1 paper
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Kaonic deuterium has already been investigated by many authors [ref] .
Kaonic Hydrogen and Deuterium in Hamiltonian Effective Field Theory · Introduction · 1.00
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