Short-range repulsion in hypernuclei and calculation using<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>K</mml:mi></mml:math>harmonics

The A-dependence of the bond energy ∆B ΛΛ of the ΛΛ hypernuclear ground states is calculated in a three-body Λ + Λ + A Z model and in the Skyrme-Hartree-Fock approach. Various ΛΛ and Λ-nucleus or ΛN potentials are used and the sensitivity of ∆B ΛΛ to the interactions is discussed. It is shown that in medium and heavy ΛΛ hypernuclei, ∆B ΛΛ is a linear function of r −3 Λ , where r Λ is rms radius of the hyperon orbital. It looks unlikely that it will be possible to extract ΛΛ interaction from the double-Λ hypernuclear energies only, the additional information about the Λ-core interaction, in particular, on r Λ is needed. *

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“…The second ΛΛ potential (Λ2) used is a two-Gaussian parametrization of ref. [14] with a repulsive core: Λ2 :…”

Section: Potentials and Modelsmentioning

confidence: 99%

A-dependence of ΛΛ bond energies in double-Λ hypernuclei

Lanskoy¹,

Lurie²,

Shirokov³

1997

Z Phys A - Particles and Fields

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“…The degeneracy of the appropriate H.H. leads to the annoyance of solving a rather large number of coupled integral equations [3] or corresponding coupled differential equations (CDE) [-43 to obtain an accurate value of the hypertriton energy: e.g., Clare solved 20 CDE, and was still an estimated 100 keV above the eigenvalue for an infinite set of CDE.…”

Section: Introductionmentioning

confidence: 99%

How to build optimal subsets of hyperspherical harmonics

Cuypers

Levinger

1988

Z. Physik A - Atomic Nuclei

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After a short revue of the resolution of few body problems with the hyperspherical harmonics formalism, we develop a method to generate an "optimal subset" of basis functions that approximate the exact wavefunction up to third order of perturbations. Examples are given for three-body systems, with emphasis on the hypertriton. In this latter case, numerical results show that our optimal subset gives an energy some 40 keV higher than that found using a complete set of hyperspherieal harmonics.

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“…Apart from the structure at the Λn threshold a spectacular peak due to the 2.13GeV resonance lying in the immediate vicinity of the Σ 0 n threshold is seen. Also shown are the results obtained with the Verma-Sural potential of the ΛN interaction [13]. The difference is quite distinct.…”

mentioning

confidence: 97%