Three-body structure of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>n</mml:mi><mml:mi>n</mml:mi><mml:mi>Λ</mml:mi></mml:mrow></mml:math>system with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>Λ</mml:mi><mml:mi>N</mml:mi><mml:mo>−</mml:mo><mml:mi>Σ</mml:mi><mml:mi>N</mml:mi></mml:mrow></mml:math>coupling

Hiyama, Emiko; Ohnishi, Satomi; Gibson, Benjamin F.; Rijken, Th. A.

doi:10.1103/physrevc.89.061302

Cited by 71 publications

(75 citation statements)

References 22 publications

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“…Similar considerations hold for the ΛΛ coupling to ΞN . As stressed in the literature [11,22,31], the coupling to channels with Σ or Ξ gives extra attraction if it induces additional spin and isospin coupling that are not present if the picture is restricted to nucleons and Λ.…”

Section: Discussionmentioning

confidence: 99%

Lightest neutral hypernuclei with strangeness−1and−2

2015

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Our current knowledge of the baryon-baryon interaction suggests that the dineutron (n, n) and its strange analogue (n, Λ) are unstable. In contrast, the situation is more favorable for the strange three-body system (n, n, Λ), and even better for the four-body system T ≡ (n, n, Λ, Λ) with strangeness −2, which is likely to be stable under spontaneous dissociation. The recent models of the hyperon-nucleon and hyperon-hyperon interactions suggest that the stability of the (n, n, Λ) and T is possible within the uncertainties of our knowledge of the baryon-baryon interactions. This new nucleus T could be produced and identified in central deuteron-deuteron collisions via reaction d + d → T + K + + K + , and the tetrabaryon T could play an important role in catalyzing the formation of a strange core in neutron stars.

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Section: Discussionmentioning

confidence: 99%

Lightest neutral hypernuclei with strangeness−1and−2

2015

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“…A recent experiment has suggested that there is a bound state of the Λnn system [1], whereas several theoretical analyses demonstrate that such a bound state cannot exist [2][3][4].…”

Section: Introductionmentioning

confidence: 99%

Resonances in theΛnnsystem

Afnan

Gibson

2015

Phys. Rev. C

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Background: A bound state of the Λnn system has been reported, but at least three theoretical papers question the existence of such a bound state.Purpose: We address the alternative question of whether there might exist a resonance in the Λnn system, using a rank one separable potential formulation of the Hamiltonian. Methods:We examine the eigenvalues of the kernel of the Faddeev equation in the complex energy plane using contour rotation to allow us to analytically continue the kernel onto the second energy sheet. The model Λn interaction is fitted to the Λp scattering length and effective range. Results:We follow the largest eigenvalue as the Λn potentials are scaled and the Λnn continuum is turned first into a resonance, and then into a bound state of the system. Conclusions:Because a change in the strength of the Λn potential of as little as 5% will produce a Λnn resonance, we infer that an experiment of the 3 H(e,e'K + ) 3 Λ n type at JLAB could be used to constrain the properties of the Λn interaction.

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“…Although by fitting the NΛ phase shifts, the coupling to the NΣ system has been included in an effective manner, it would also be interesting to unfold the effective ΛN interaction, separating the contribution from ΛN ↔ ΣN. As it has been discussed in the literature [7,8,20,[46][47][48] the hypertriton does not get bound by considering only NNΛ channels, but it is necessary to include also NNΣ channels. Similar considerations hold from the ΛΛ ↔ NΞ coupling, that is expected to play a minor role in this case, because the nucleon generated in the transition must occupy an excited p−shell, the lowest s−shell being forbidden by the Pauli principle [42,49].…”

Section: Resultsmentioning

confidence: 99%

“…The absence of binding of the nnΛ system was first demonstrated by Dalitz and Downs [5] using a variational approach, and later from the solution of the Faddeev equations with separable interactions [6]. The theoretical debate on the possible existence of a neutral bound state of two neutrons and a Λ hyperon, 3 Λ n, is still open and has lately deserved an important theoretical effort [1,[7][8][9][10][11].…”

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confidence: 99%

system

2017

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Using local central Yukawa-type Malfliet-Tjon interactions reproducing the low-energy parameters and phase shifs of the nn system and the latest updates of the nΛ and ΛΛ Nijmegen ESC08c potentials we study the possible existence of a 4 ΛΛ n bound state. Our results indicate that the 4 ΛΛ n is unbound, being just above threshold. We discuss the role played by the 1 S 0 nn repulsive term of the Yukawa-type Malfliet-Tjon interaction.

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Three-body structure of thennΛsystem withΛN−ΣNcoupling

Abstract: The structure of the three-body nnΛ system, which has been observed recently by the HypHI collaboration, is investigated taking ΛN − ΣN coupling explicitly into account. The Y N and N N interactions employed in this work reproduce the binding energies of

Cited by 71 publications

References 22 publications

Lightest neutral hypernuclei with strangeness−1and−2

Lightest neutral hypernuclei with strangeness−1and−2

Resonances in theΛnnsystem

system

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