Faddeev calculations for the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>A</mml:mi><mml:mo>=</mml:mo><mml:mn>5</mml:mn><mml:mo>,</mml:mo><mml:mn>6</mml:mn><mml:mn /></mml:math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Λ</mml:mi><mml:mi>Λ</mml:mi></mml:math>hypernuclei

Filikhin, I.; Gal, A.; Suslov, V. M.

doi:10.1103/physrevc.68.024002

Cited by 65 publications

(80 citation statements)

References 27 publications

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“…[25], where both short-and long-range correlations were simultaneously treated, further investigations are needed to completely settle this question. Filikhin and Gal [26][27][28] report Faddeev-Yakubovsky calculations, complementary to those carried out in the earlier work of Ref. [16] but using the new Nijmegen interactions, not finding a simultaneous description of the ⌳⌳ 10 Be and the new ⌳⌳ 6 He binding energies.…”

Section: Introductionsupporting

confidence: 55%

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ΛΛbond energy from the Nijmegen potentials

2004

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The ⌳⌳ bond energy ⌬B ⌳⌳ in ⌳⌳ hypernuclei is obtained from a G-matrix calculation which includes the coupling between the ⌳⌳, ⌶N, and ⌺⌺ channels, as well as the effect of Pauli blocking to all orders. The Nijmegen NSC97e model is used as bare baryon-baryon interaction in the strangeness S = −2 sector. The ⌳⌳-⌶N coupling increases substantially the bond energy with respect to the uncoupled ⌳⌳ case. However, the additional incorporation of the ⌺⌺ channel, which couples simultaneously to ⌳⌳ and ⌶N states, has a surprisingly drastic effect and reduces the bond energy down to a value closer to that obtained in an uncoupled calculation. We find that a complete treatment of Pauli blocking reduces the repulsive effect on the bond energy to about half of what was claimed before.

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Section: Introductionsupporting

confidence: 55%

“…For practical purposes, most of the recent works [26][27][28][29] have used simple parameterizations of the new Nijmegen potentials in terms of the sum of a few Gaussians. In contrast, we start from the original Nijmegen model NSC97e [5], as done also in Ref.…”

Section: Introductionmentioning

confidence: 99%

ΛΛbond energy from the Nijmegen potentials

2004

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“…(2) for ∆B ΛΛ ( 6 ΛΛ He). Regardless of whether 4 ΛΛ H is particle-stable or not, there is a general consensus that the mirror ΛΛ hypernuclei 5 ΛΛ H-5 ΛΛ He are particle-stable, with ∆B ΛΛ ∼ 0.5 − 1 MeV [20,21], or larger owing to the ΛΛ − ΞN coupling which is particularly effective here [19,22,23]. In addition, substantial charge symmetry breaking effects are expected in these systems, resulting in a higher binding energy of …”

Section: Onset Of λλ Hypernuclear Stabilitymentioning

confidence: 99%

Consistency of ΛΛ hypernuclear events

Gal

Millener

2011

Hyperfine Interact

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“…In these calculations the ΛΛ semirealistic potentials from Refs. [20,34,35] are used. The αn potential (FJR) is a modification of the Sack-Biedenharn-07004-p.5 Table 5.…”

Section: Use Of the Abe And Th(m) Potentials In Other Cluster Calculamentioning

confidence: 99%

“…The ΛΛ semi-realistic potentials from Refs. [20,34,35] are used. The αn potential (FJR) is given in [37] Breit potential (SBB) [36] taken from [37].…”

Section: Use Of the Abe And Th(m) Potentials In Other Cluster Calculamentioning

confidence: 99%

Faddeev calculations for the_Λ⁹Be spectrum

Filikhin

Suslov

Vlahović

2010

EPJ Web of Conferences

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Abstract. An α-cluster model is applied to study low-lying spectrum of the 9 Λ Be hypernicleus. The ααΛ threebody problem is numerically solved by the Faddeev equations in configuration space using phenomenological pair potentials. Found is a set of the potentials that reproduces experimental data for the ground state ( 1 2 + ) binding energy and excitation energy of the 5 2 + and 3 2 + states, simultaneously. This set includes the Ali-Bodmer potential of version "e" for αα and modified Tang-Herndon potential for αΛ interactions. The spin-orbit αΛ interaction is given by modified Scheerbaum potential. Low-lying energy levels are evaluated applying a variant of the analytical continuation method in coupling constant, and the experimental data for excitation energies are well reproduced by our calculations. This result improves previous α-cluster calculations. It is shown that the spectral properties of 9 Λ Be can be classified as an analog of 9 Be spectrum with the exception of several "genuine hypernuclear states", which agrees qualitatively with previous studies. The energy splitting of spin-flip doublet ( 9 2 + , 7 2 + ) is predicted.

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Faddeev calculations for theA=5,6ΛΛhypernuclei

Cited by 65 publications

References 27 publications

ΛΛbond energy from the Nijmegen potentials

ΛΛbond energy from the Nijmegen potentials

Consistency of ΛΛ hypernuclear events

Faddeev calculations for the_Λ⁹Be spectrum

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Faddeev calculations for theA=5,6ΛΛhypernuclei

Cited by 65 publications

References 27 publications

ΛΛbond energy from the Nijmegen potentials

ΛΛbond energy from the Nijmegen potentials

Consistency of ΛΛ hypernuclear events

Faddeev calculations for theΛ9Be spectrum

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Faddeev calculations for the_Λ⁹Be spectrum