Resonances in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi mathvariant="normal">Λ</mml:mi><mml:mi>n</mml:mi><mml:mi>n</mml:mi></mml:mrow></mml:math>system

Afnan, I.R.; Gibson, Benjamin F.

doi:10.1103/physrevc.92.054608

Cited by 39 publications

(39 citation statements)

References 18 publications

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“…The more attractive character of the HAL QCD ΛΛ interaction can be easily tested by trying to generate a ΛΛnn bound state with a multiplicative factor for the ΛΛ interaction in the attractive term of Eq. (9). While with the model of Ref.…”

Section: The Effect Of Repulsion In the λλNn Statementioning

confidence: 99%

“…[3][4][5]10 Bound states of two neutrons and two Λ hyperons are another controversial subject. Recently, Bleser et al 11 have offered a new interpretation of the results of the BNL AGS-E906 experiment to produce and study double hypernuclei through a (K − , K + ) reaction on 9 Be. 12 Following a suggestion made by Avraham Gal, they explored the conjecture that decays of a 4 ΛΛ n double hypernucleus may be responsible for some of the observed structures in the correlated π − − π − momenta.…”

Section: Introductionmentioning

confidence: 99%

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Neutral baryonic systems with strangeness

Garcilazo

2019

AIP Conference Proceedings

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We review the status as regards the existence of three-and four-body bound states made of neutrons and Λ hyperons. For interesting cases, the coupling to neutral baryonic systems made of charged particles of different strangeness has been addressed. There are strong arguments showing that the Λnn system has no bound states. ΛΛnn strong stable states are not favored by our current knowledge of the strangeness −1 and −2 baryonbaryon interactions. However, a possible Ξ − t quasibound state decaying to ΛΛnn might exist in nature. Similarly, there is a broad agreement about the nonexistence of ΛΛn bound states. However, the coupling to ΞN N states opens the door to a resonance above the ΛΛn threshold.

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Section: The Effect Of Repulsion In the λλNn Statementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Neutral baryonic systems with strangeness

Garcilazo

2019

AIP Conference Proceedings

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“…The parameters of the potential, C and β, can be expressed in terms of the effective range parameters [19] as:…”

Section: The Two-body Interactionmentioning

confidence: 99%

Report on scipost_201910_00033v2

Stevenson¹

2020

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No published Λn scattering data exist. A relativistic heavy-ion experiment has suggested that a Λnn bound state was seen. However, several theoretical analyses have cast serious doubt on the bound-state assertion. Nevertheless, there could exist a three-body Λnn resonance. Such a resonance could be used to constrain the Λn interaction. We discuss Λnn calculations using nn and Λn pairwise interactions of rank-one, separable form that fit effective range parameters of the nn system and those hypothesized for the as yet unobserved Λn system based upon four different ΛN potentials. The use of rank-one separable potentials allows one to analytically continue the Λnn Faddeev equations onto the second complex energy plane in search of resonance poles, by examining the eigenvalue spectrum of the kernel of the Faddeev equations. Although each of the potential models predicts a Λnn sub-threshold resonance pole, scaling of the Λn interaction by as little as ∼5% does produce a physical resonance. This suggests that one may use photo-(electro-)production of the Λnn system from tritium as a tool to examine the strength of the Λn interaction.

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“…For example, it has been proposed that dineutrons could become bound in the presence of additional nucleons [2]. This is the mechanism responsible for the properties of some bound nuclei that have a neutron excess, like 11 Li, where a pair of external neutrons form a remote halo around the core of 9 Li [3]. Such possibility has been recently drawn in a lighter system by the experimental HypHI Collaboration [4], suggesting the existence of a neutral bound state of two neutrons and a Λ hyperon,…”

Section: Introductionmentioning

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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Resonances in theΛnnsystem

Cited by 39 publications

References 18 publications

Neutral baryonic systems with strangeness

Neutral baryonic systems with strangeness

Report on scipost_201910_00033v2

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