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

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.

Comments: 5 pages, 1 figure, Table III corrected