Complete $\alpha^6\,m$ corrections to the ground state of H$_2$

TL;DR

This paper calculates all relativistic and QED corrections of order α^6 m for the hydrogen molecule's ground state, enabling high-precision spectroscopy and tests of fundamental physics.

Contribution

It provides the first complete calculation of α^6 m corrections for H₂, improving the accuracy of molecular energy predictions.

Findings

Enhanced accuracy in dissociation energy estimates

Refined fundamental transition energies for H₂

Supports high-precision tests of fundamental interactions

Abstract

We perform the calculation of all relativistic and quantum electrodynamic corrections of the order of $\alpha^6\,m$ to the ground electronic state of a hydrogen molecule and present improved results for the dissociation and the fundamental transitions energies. These results open the window for the high-precision spectroscopy of H$_2$ and related low-energy tests of fundamental interactions.