Benchmark Results for Few-Body Hypernuclei

Abstract

The Non-Symmetrized Hyperspherical Harmonics method (NSHH) is introduced in the hypernuclear sector and benchmarked with three different ab-initio methods, namely the Auxiliary Field Diffusion Monte Carlo method, the Faddeev-Yakubovsky approach and the Gaussian Expansion Method. Binding energies and hyperon separation energies of three- to five-body hypernuclei are calculated by employing the two-body $\Lambda$N component of the phenomenological Bodmer-Usmani potential, and a hyperon-nucleon interaction simulating the scattering phase shifts given by NSC97f. The range of applicability of the NSHH method is briefly discussed.

References in corpus (4)

• Accurate determination of the interaction between $\Lambda$ hyperons and nucleons from auxiliary field diffusion Monte Carlo calculations
• Non-symmetrized hyperspherical harmonic basis for $A$-bodies
• Auxiliary Field Diffusion Monte Carlo calculation of nuclei with A<40 with tensor interactions
• Behaviour of the $\Lambda N$ and $\Lambda NN$ potential strengths in the ${}_{\Lambda }^5$He hypernucleus

Cited by in corpus (3)

• Impact of chiral hyperonic three-body forces on neutron stars
• Faddeev calculations on lambda hypertriton with potentials from Gel'fand-Levitan-Marchenko theory
• Four-body bound states in momentum space: the Yakubovsky approach without two-body $t-$matrices