Exact calculations of a quasibound state in the<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:mover accent="true"><mml:mi>K</mml:mi><mml:mo>¯</mml:mo></mml:mover><mml:mi>N</mml:mi></mml:mrow></mml:math>system

Шевченко, Н. В.; Haidenbauer, J.

doi:10.1103/physrevc.92.044001

Cited by 15 publications

(16 citation statements)

References 38 publications

(45 reference statements)

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“…It can be seen from table III that our calculated binding energies are very close to the other results obtained in [7] and [18] for K − pp and K − K − p systems using the sameKN −πΣ potentials within the coupled-channel Faddeev approach.…”

Section: Resultssupporting

confidence: 73%

“…However, so far the experimental studies on binding and is also a possible three-body kaonic system. TheKKN quasi-bound state has been studied by Shevchenko and Haidenbauer using phenomenological and chiraly motivated potentials for theKN − πΣ interaction combined with Faddeev AGS equations [18]. This has also been investigated by Kanada-En'yo and Jido using a Gaussian expansion method [19].…”

Section: Introductionmentioning

confidence: 99%

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Deeply quasi-bound state in single- and double- $\bar{K}$ K ¯ nuclear clusters

2016

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New calculations of the quasi-bound state positions in K − K − pp kaonic nuclear cluster are performed using non-relativistic four-body Faddeev-type equations in AGS form. The corresponding separable approximation for the integral kernels in the three-and four-body kaonic clusters is obtained by using the Hilbert-Schmidt expansion procedure. Different phenomenological models ofKN − πΣ potentials with one-and two-pole structure of Λ(1405) resonance and separable potential models forK-K and nucleonnucleon interactions, are used. The dependence of the resulting four-body binding energy on models of KN − πΣ interaction is investigated. We obtained the binding energy of the K − K − pp quasi-bound state ∼ 80-94 MeV with the phenomenologicalKN potentials. The width is about ∼ 5-8 MeV for the two-pole models of the interaction, while the one-pole potentials give ∼ 24-31 MeV width.

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Section: Resultssupporting

confidence: 73%

Section: Introductionmentioning

confidence: 99%

Deeply quasi-bound state in single- and double- $\bar{K}$ K ¯ nuclear clusters

2016

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“…Similar binding and width about 60 MeV forKKN was obtained by Shevchenko et al [28], which we present in Fig. 3 for completeness.…”

Section: Few-body Systemssupporting

confidence: 89%

$\bar{K}$N Interactions in the Nuclear Medium and $\bar{K}$ Nuclear Quasi-Bound States

Mareš¹,

Gal²,

Gazda³

et al. 2017

Proceedings of the 12th International Conference on Hypernuclear and Strange Particle Physics (HYP2015)

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Recent calculations of K − nuclear quasi-bound states are reviewed. We focus on the role played by energy dependendence of theKN interactions constructed within chirally motivated coupled channel models that capture the physics of the Λ(1405) resonance. First, we discuss three-body and four-body systems and compare binding energies and widths of kaonic nuclear quasi-bound states calculated using chiral and phenomenologicalKN interactions. Then, we use in-mediumKN scattering amplitudes developed within chirally-based models to construct K − nuclear potentials for calculations of K − nuclear states in many-body systems. We demonstrate that correct self-consistent treatment of the strong energy dependence of the scattering amplitudes is crucial.

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“…Two-body threshold is close to the bound state energy of Λ(1405) as K − p bound pair (about 30 MeV). Similar results have been obtained within more complex models [6][7][8][9][10][11]. This value is much smaller than the experimentally motivated value of about 100 MeV for the ppK − "deeply bound state" [12][13][14].…”

Section: Introductionsupporting

confidence: 84%

“…-(9) it is clear that the relation |E 3 (V AA = 0)| > 2|E 2 | is satisfied for bosonic-like systems.…”

mentioning

confidence: 97%

Isospin effect in three-body kaonic-like systems

Filikhin

Suslov

Vlahović

2019

AIP Conference Proceedings

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The kaonic clusters K − K − p and ppK − are described based on the configuration space Faddeev equations for AAB system. The AB interaction is given by isospin-dependent potentials. For this isospin model, we show that the relation |E 3 (V AA = 0)| < 2 |E 2 | is satisfied when E 2 is the binding energy of the AB subsystem and E 3 (V AA = 0) is the three-body binding energy when interaction between identical particles is omitted, V AA = 0. For the N NK system, taking into account weak attraction of N N interaction the relation leads to the evaluation |E 3 | ≤ 2|E 2 |. The "isospinless model" for the kaonic clusters based on the isospin averaged NK potential demonstrates the opposite relation |E 3 (V AA = 0)| > 2 |E 2 |. The isospin "given charge formalism" is presented for N NK cluster. This formalism is related to isospin model by unitary transformation of the isospin basis. An interpretation of the "particle representation" for N NK system is proposed.

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Exact calculations of a quasibound state in theK¯K¯Nsystem

Cited by 15 publications

References 38 publications

Deeply quasi-bound state in single- and double- $\bar{K}$ K ¯ nuclear clusters

Deeply quasi-bound state in single- and double- $\bar{K}$ K ¯ nuclear clusters

\(\bar{K}\)N Interactions in the Nuclear Medium and \(\bar{K}\) Nuclear Quasi-Bound States

Isospin effect in three-body kaonic-like systems

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