# Benchmark Results for Few-Body Hypernuclei

## TL;DR

This paper introduces the NSHH method for hypernuclear calculations and benchmarks it against established ab-initio methods, providing insights into its applicability for three- to five-body hypernuclei.

## Contribution

The paper presents the NSHH method in the hypernuclear sector and benchmarks it with three different ab-initio methods for the first time.

## Key findings

- NSHH method successfully calculates binding energies and hyperon separation energies.
- Benchmark results show good agreement with other ab-initio methods.
- The applicability range of NSHH is briefly discussed.

## 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.