Reply to "Charge-symmetry-breaking considerations for the hypertriton"

Gibson, B. F.; Lehman, D. R.

doi:10.1103/physrevc.16.1679

Cited by 5 publications

(6 citation statements)

References 8 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%

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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%

“…This means that models with a very large effective range cannot generate much Borromean binding [19]. Note that in the case of ordinary 3-body binding (not fully Borromean), the dependence upon the effective range might be different [22,23].…”

Section: Introductionmentioning

confidence: 99%

Lightest neutral hypernuclei with strangeness−1and−2

2015

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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%

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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“…The 4 Although by fitting the ΛN phase shifts, the coupling to the ΣN 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 [9,10,27,[56][57][58] the hypertriton does not get bound by considering only ΛN N channels, but it is necessary to include also ΣN N channels. Similar considerations hold for the ΛΛ ↔ ΞN coupling.…”

Section: A Three-body Systemsmentioning

confidence: 99%

Stable bound states of $N$'s, $Λ$'s, and $Ξ$'s

Garcilazo,

Valcarce,

Vijande

2020

Preprint

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We review our recent work about the stability of strange few-body systems containing N 's, Λ's, and Ξ's. We make use of local central Yukawa-type Malfliet-Tjon interactions reproducing the lowenergy parameters and phase shifts of the nucleon-nucleon system and the latest updates of the hyperon-nucleon and hyperon-hyperon ESC08c Nijmegen potentials. We solve the three-and fourbody bound-state problems by means of Faddeev equations and a generalized Gaussian variational method, respectively. The hypertriton, Λnp (I)J P = (1/2)1/2 + , is bound by 144 keV; the recently discussed Λnn (I)J P = (1/2)1/2 + system is unbound, as well as the ΛΛnn (I)J P = (1)0 + system, being just above threshold. Our results indicate that the ΞN N , ΞΞN and ΞΞN N systems with maximal isospin might be bound.

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Reply to "Charge-symmetry-breaking considerations for the hypertriton"

Cited by 5 publications

References 8 publications

Lightest neutral hypernuclei with strangeness−1and−2

Lightest neutral hypernuclei with strangeness−1and−2

system

Stable bound states of $N$'s, $Λ$'s, and $Ξ$'s

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