Three-body model of $^{6}$He with non-local halo effective field theory potentials

TL;DR

This paper models the Borromean nucleus $^6$He using a three-body approach with non-local potentials derived from cluster EFT, analyzing its ground state and E1 strength distribution.

Contribution

It introduces a three-body EFT-based potential framework in coordinate space for $^6$He, including a three-body interaction to control cutoff dependence.

Findings

Ground state energy and radius computed with hyperspherical coordinates.

E1 strength distribution shows a low-lying resonance.

Results are sensitive to the three-body EFT interaction choice.

Abstract

We study the $^6$He Borromean nucleus in coordinate representation within a three-body model with two-body potentials derived from cluster effective field theory (EFT). These potentials are originally developed in momentum space and Fourier transformed to provide non-local potentials in configuration space. We use hyperspherical coordinates in combination with the Lagrange-mesh technique to compute the ground state energy, root mean square radius and the E1 strength distribution of $^6$He. We also introduce a three-body interaction to eliminate dependencies on the cutoff parameter of the two-body potentials on the ground state energy. The E1 strength distribution exhibits a low lying resonance as expected. However it is strongly influenced by the choice of the three-body EFT interaction.