Four-body Faddeev-type calculation of the $\bar{K}NNN$ system:  Preliminary results

Шевченко, Н. В.

doi:10.21468/scipostphysproc.3.041

Cited by 5 publications

(3 citation statements)

References 14 publications

(29 reference statements)

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“…The results obtained with phenomenological antikaon-nucleon potentials 𝑉 1,SIDD K 𝑁 and 𝑉 2,SIDD K 𝑁 differ from preliminary results [10] presented at 24th European Conference on Few-Body Problems in Physics (Guildford, UK, 1-6 September, 2019) since a new, more reliable numerical method of separable three-body and 2 + 2 amplitudes construction, was used.…”

Section: Results and Conclusionmentioning

confidence: 61%

Four-body Faddeev-type calculation of the $\bar{K}NNN$ system

Шевченко¹

2022

Proceedings of Particles and Nuclei International Conference 2021 — PoS(PANIC2021)

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Section: Results and Conclusionmentioning

confidence: 61%

Four-body Faddeev-type calculation of the $\bar{K}NNN$ system

Шевченко¹

2022

Proceedings of Particles and Nuclei International Conference 2021 — PoS(PANIC2021)

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“…Our very preliminary results for the pole position of the quasi-bound state in the K − ppn− K0 nnp system calculated with two phenomenological potentials were published in [27]. They differ from those presented in Table V drastically: binding energies are much larger while the width are smaller.…”

Section: Resultsmentioning

confidence: 74%

Quasi-bound state in the $\bar{K}NNN$ system

Shevchenko¹

2022

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The paper is devoted to the KN N N system, which is an exotic system consisting of an antikaon and three nucleons. Dynamically exact four-body Faddeev-type equations were solved and characteristics of the quasi-bound state in the system were evaluated. Three antikaon-nucleon and three nucleon-nucleon potentials were used, so the dependence of the four-body pole positions on the two-body interaction models was studied. The resulting binding energies B Chiral K − ppn ∼ 30.5 − 34.5 MeV obtained with chirally motivated and B SIDD K − ppn ∼ 46.4 − 52.0 MeV obtained with phenomenological antikaon-nucleon potentials are close to those obtained for the K − pp system with the same KN and N N potentials, while the four-body widths Γ K − ppn ∼ 38.2 − 50.9 MeV are smaller.

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“…[25] is about 46.6 MeV for phenomenological KN potential with two-pole Λ(1405) structure (see also Ref. [39]). The graphical illustrations for the variation of the binding energy and masses for different particle configurations are presented in Figs.…”

Section: Numerical Resultsmentioning

confidence: 95%

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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Four-body Faddeev-type calculation of the $\bar{K}NNN$ system: Preliminary results

Abstract: The paper is devoted to theK N N N system, consisting of an antikaon and three nucleons. Four-body Faddeev-type AGS equations are being solved in order to find possible quasibound state in the system.

Cited by 5 publications

References 14 publications

Four-body Faddeev-type calculation of the $\bar{K}NNN$ system

Four-body Faddeev-type calculation of the $\bar{K}NNN$ system

Quasi-bound state in the $\bar{K}NNN$ system

Particle configurations in the $NN\bar K$ system

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