Three-body calculation of the 1 s level shift in kaonic deuterium

Doleschall, P.; Révai, J.; Шевченко, Н. В.

doi:10.1016/j.physletb.2015.03.043

Cited by 16 publications

(20 citation statements)

References 18 publications

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“…A width of Γ 1S ≈ 1 keV is expected to ensure the success of these experiments. The present calculation of the strong-interaction 1S level shift and width in kaonic deuterium uses a K − nuclear optical potential, constructed from chiral-model subthreshold K − N scattering amplitudes f K − N , with added multinucleon dispersion and absorption parameters fitted to kaonic atoms data across the periodic table, from 7 Li on. A key element in securing a good fit to the data is a self-consistent implementation of a density dependent…”

Section: Discussionmentioning

confidence: 99%

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On the width of the $K^-$D atom ground state

Barnea,

Friedman,

Gal

2020

Preprint

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Experiments at DAΦNE-Frascati and at J-PARC are scheduled to produce K − D atoms and observe their X-ray cascade down to the 1S ground state (g.s.), thereby measuring its strong-interaction width and shift away from a purely Coulomb state. A width Γ 1S 1 keV will ensure good resolution of the X-ray transitions feeding the 1S g.s. Here we study the expected K − D 1S g.s. width from the perspective of global fits to level shifts and widths in heavier kaonic atoms across the periodic table, using K − nuclear optical potentials constructed from KN chiral interaction models. Special attention is paid to the subthreshold energy at which the KN subsystem interacts in the K − D atomic g.s. Within this approach we predict strong-interaction upward level shift of close to 700 eV and width of about 1.2 to 1.3 keV for the K − D atom 1S g.s., in fair agreement with genuinely three-body K − D atom calculations. Comparison is made with π − D atom phenomenology.

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Section: Discussionmentioning

confidence: 99%

“…The K − -nucleus optical potential used in global fits to strong-interaction data in kaonic atoms from 7 Li to 238 U is of the form…”

Section: Subthreshold Energy Considerations In K − Atomsmentioning

confidence: 99%

On the width of the $K^-$D atom ground state

Barnea,

Friedman,

Gal

2020

Preprint

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“…Such consideration allows to definite a particle model for the N N K(s N N = 1) cluster [28]. This "particle representation" is essentially based on the "charge" isospin basis [29], which can be obtained by unitary rotation from a "natural" isospin basis [30]. Both formulations are equivalent.…”

Section: Introductionmentioning

confidence: 99%

Particle configurations in the $NN\bar K$ system

Filikhin,

Kuzmichev,

Vlahovic

2021

Preprint

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Three-body AAB model for the N N K(s N N = 0) kaonic cluster is considered based on the configuration space Faddeev equations. Within a singlechannel approach, the difference between masses of nucleons and kaons and the charge independence breaking of nucleon-nucleon interaction are taken into consideration. We definite the particle configurations in the system according to the particle masses and pair potentials. There are two sets of the particle configurations, ppK − , np K0 and nn K0 , npK − , charged and neutral. The three-body calculations are performed by applying N N and N K phenomenological isospindependent potentials. The mass and energy spectra related to the particle configurations are presented. We evaluate the mass and energy uncertainties for the N N K model. An analogy to N N N model for the 3 H and 3 He nuclei is proposed.

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“…These are the essential requirements for reliable predictions of kaonic deuterium (see also Faddeev approaches in Refs. [20,21]). In order to accurately describe the three-body system with both strong and electromagnetic interactions, a large number of correlated Gaussian basis functions are used to expand the wave function [22][23][24][25], so that the requirement (i) is fulfilled.…”

Section: Introductionmentioning

confidence: 99%

Kaonic deuterium from realistic antikaon-nucleon interaction

2019

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We present precise three-body calculations for the spectrum of kaonic deuterium with a realistic antikaon-nucleon interaction. Thanks to the precise measurement of kaonic hydrogen, it is now possible to construct realistic $\bar KN$ interactions which reproduce the whole set of experimental data in the threshold region. Employing such realistic interactions, the energy of the three-body system of kaonic deuterium is determined with the accuracy of eV, by expanding its wave function with a large number of correlated Gaussian basis functions. The level shift and width of the 1S state are found to be 670 eV and 1016 eV, respectively. The improved Deser formulas work reasonably well to estimate the shift and width of kaonic hydrogen, but their application to kaonic deuterium does not give an accurate estimation. It is shown that the result is sensitive to the I = 1 component of the $\bar KN$ interaction, which will be further constrained in future experiments.

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Three-body calculation of the 1 s level shift in kaonic deuterium

Abstract: The first exact calculation of a three-body hadronic atom was performed. Kaonic deuterium 1s level shift and width were evaluated using Faddeev-type equations with Coulomb interaction. The obtained exact results were compared with commonly used approximate approaches.

Cited by 16 publications

References 18 publications

On the width of the $K^-$D atom ground state

On the width of the $K^-$D atom ground state

Particle configurations in the $NN\bar K$ system

Kaonic deuterium from realistic antikaon-nucleon interaction

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