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.

5 pages, 1 figure, Table III corrected

References in corpus (3)

• ${\alpha }^4$ Ry corrections to singlet states of helium
• Fundamental constants and tests of theory in Rydberg states of one-electron ions
• Positronium and Muonium 1S-2S Laser Spectroscopy as a Probe for the Standard-Model Extension

Cited by in corpus (12)

• The full infrared spectrum of molecular hydrogen
• Benchmarking theory with an improved measurement of the ionization and dissociation energies of H${}_2$
• QED calculation of the dipole polarizability of helium atom
• Molecular near-infrared transitions determined with sub-kHz accuracy
• Quantum control of molecules for fundamental physics
• Non-adiabatic, Relativistic, and Leading-order QED Corrections for Rovibrational Intervals of ${}^4$He${}_2^{+}$ ($X{}^2{\Sigma }_{\mathrm{u}}^{+}$)
• A global potential energy surface for H${}_3^{+}$
• Hyperfine components of all rovibrational quadrupole transitions in the H${}_2$ and D${}_2$ molecules
• High accuracy calculations of the rotation-vibration spectrum of H${}_3^{+}$
• QED calculation of ionization energies of $1snd$ states in helium
• Calculation of Araki-Sucher correction for many-electron systems
• One-particle operator representation over two-particle basis sets for relativistic QED computations