# Momentum space calculations of the binding energies of argon dimer

## TL;DR

This paper uses momentum space calculations to accurately determine the binding energies of argon dimer, confirming known vibrational levels and predicting additional states with high precision, extending to higher rotational states.

## Contribution

It introduces a momentum space approach to calculate argon dimer energies, confirming previous results and providing precise predictions for higher vibrational and rotational states.

## Key findings

- Confirmed eight vibrational levels of ground state
- Predicted the ninth vibrational level with high accuracy
- Calculated energies for all 174 bound states

## Abstract

The binding energies of argon dimer are calculated by solving the homogeneous Lippmann-Schwinger integral equation in momentum space. Our numerical analysis using two models of argon-argon interaction developed by Patkowski {\it et al.} confirms not only the eight argon dimer vibrational levels of the ground state of argon dimer (i.e. for $j=0$) predicted by other groups but also provides a very precise means for determining the binding energy of the ninth state which its value is a matter of discussion. Our calculations have been also extended to states with higher rotational quantum number $j$ and we have calculated the energy of all 174 bound states for both potential models. Our numerical results for vibrational levels of the ground state of argon dimer are in excellent agreement with other theoretical calculations and available experimental data.