# Weakly bound LiHe$_2$ molecules in the framework of three-dimensional Faddeev equations

## TL;DR

This paper employs three-dimensional Faddeev equations to calculate binding energies of weakly bound LiHe$_2$ molecules, revealing two bound states supported by modern potential models and analyzing their proximity to two-body thresholds.

## Contribution

It introduces a direct solution method for Faddeev equations applied to LiHe$_2$ molecules, providing new insights into their bound states and scattering properties.

## Key findings

- Two bound states in LiHe$_2$ trimers supported by modern potentials
- Excited state energy close to two-body threshold
- Calculated scattering length for helium atom - HeLi dimer

## Abstract

A method of direct solution of the Faddeev equations for the bound-state problem with zero total angular momentum is used to calculate the binding energies. The results for binding energies of He$_2$$^6$Li and He$_2$$^7$Li systems and helium atom - HeLi dimer scattering length are presented. The results show that modern potential models support two bound states in both trimers. In both cases the energy of the excited state is very close to the energy of the lowest two-body threshold.