A Cluster Calculation for<sup>6</sup>He Spectrum

Filikhin, I.; Suslov, V. M.; Vlahovic, B.

doi:10.7868/s0044002714030088

Cited by 1 publication

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“…Using this potential, we modeled the 6 He nucleus as the αnn cluster system. The results of the calculations reproduce well the experimental data for the low-lying spectrum of the nucleus [16]. The potential is represented as one and two range Gaussian function:…”

Section: Modelsupporting

confidence: 68%

“…Use of the three-body force is proposed as an acceptable solution of the problem. Parameters of the three-body potential can be chosen to reproduce experimental data (for instance, see our work [16]). The three-body force makes an equidistant energy shift of spectral levels [16] (see also Fig.…”

Section: Results Of Calculationsmentioning

confidence: 99%

“…1). There could be a total orbital momentum dependence [16] of the three-body potential. However, for the case of the doublet states (1 − , 2 − ) of the αΛn system, this dependence may be ignored due to the same orbital momentum for both states.…”

Section: Results Of Calculationsmentioning

confidence: 99%

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Modeling of 6ΛHe hypernucleus within configuration space Faddeev approach

Filikhin¹,

Suslov²,

Vlahović³

2014

Math. Model. Geom.

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The cluster 4 He + Λ + n model is applied to describe the 6 Λ He hypernucleus. The consideration is based on the configuration space Faddeev equations for a system of non-identical particles. A set of the pair potentials includes the OBE simulating (NSC97f) model for the Λn interaction and the phenomenological potentials for the αΛ and αn interactions. We calculated energies of spin (1 − ,2 − ) doublet. For the 2 − excitation energy, the obtained value is 0.18 MeV. The hyperon binding energy of the bound 1 − state is less than the experimental value, which may be an evidence for violation of the exact three-body cluster structure.

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Section: Modelsupporting

confidence: 68%

Section: Results Of Calculationsmentioning

confidence: 99%