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 $\varLambda \hbox {N}$ component of the phenomenological Bodmer–Usmani potential (Bodmer and Usmani in Nucl Phys A 477:621, 1988; Usmani and Khanna in J Phys G 35:025105, 2008), and a hyperon-nucleon interaction (Hiyama et al. in Phus Rev C 65:011301, 2001) simulating the scattering phase shifts given by NSC97f (Rijken et al. in Phys Rev C 59:21, 1999). The range of applicability of the NSHH method is briefly discussed.