We study the ${}^6\mathrm{He}$ 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 nonlocal 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 ${}^6\mathrm{He}$. 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. However, it is strongly influenced by the choice of the three-body EFT interaction.

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• Binding energy & masses
• Effective field theory
• Few-body systems
• Nuclear forces
• Nuclear structure & decays
• Unstable nuclei induced nuclear reactions
• 6 ≤ A ≤ 19