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.

arXiv comment5 pages, 1 figure, Table III corrected

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Cited by in corpus (35)

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• Benchmarking theory with an improved measurement of the ionization and dissociation energies of H${}_2$
• Rovibrational energy levels of the hydrogen molecule through nonadiabatic perturbation theory
• Nonadiabatic QED correction to the dissociation energy of the hydrogen molecule
• Dissociation energy of the hydrogen molecule at 10${}^{-9}$ accuracy
• Relativistic corrections for the ground electronic state of molecular hydrogen
• QED calculation of the dipole polarizability of helium atom
• Molecular near-infrared transitions determined with sub-kHz accuracy
• Nonadiabatic relativistic correction in H${}_2$, D${}_2$, and HD
• Quantum control of molecules for fundamental physics
• Nonadiabatic rotational states of the hydrogen molecule
• Ab initio potential energy curve for the ground state of beryllium dimer
• Dissociation Energy of Molecular Hydrogen Isotopologues
• Non-adiabatic, Relativistic, and Leading-order QED Corrections for Rovibrational Intervals of ${}^4$He${}_2^{+}$ ($X{}^2{\Sigma }_{\mathrm{u}}^{+}$)
• Ab initio properties of the NaLi molecule in the $a^3{\Sigma }^{+}$ electronic state
• Precision measurement of the fundamental vibrational frequencies of tritium-bearing hydrogen molecules: T${}_2$, DT, HT
• All-order relativistic computations for atoms and molecules using an explicitly correlated Gaussian basis
• Variational Dirac-Coulomb explicitly correlated computations for atoms and molecules
• A global potential energy surface for H${}_3^{+}$
• Precise computation of rovibronic resonances of molecular hydrogen: $EF{}^1{\Sigma }_{\mathrm{g}}^{+}$ inner-well rotational states
• Relativistic and QED effects in the fundamental vibration of T${}_2$
• Hyperfine components of all rovibrational quadrupole transitions in the H${}_2$ and D${}_2$ molecules
• On the Breit interaction in an explicitly correlated variational Dirac-Coulomb framework
• High accuracy calculations of the rotation-vibration spectrum of H${}_3^{+}$
• Rotational level spacings in HD from vibrational saturation spectroscopy
• The Bethe-Salpeter QED wave equation for bound-state computations of atoms and molecules
• QED calculation of ionization energies of $1snd$ states in helium
• Calculation of Araki-Sucher correction for many-electron systems
• Born-Oppenheimer potentials for $\Pi$, $\Delta$, and $\Phi$ states of the hydrogen molecule
• A Study of New Physics Searches with Tritium and Similar Molecules
• One-particle operator representation over two-particle basis sets for relativistic QED computations
• Rovibrational computations for He${}_2^{+}$ X ${\Sigma }_{\mathrm{u}}^{+}$ including non-adiabatic, relativistic and QED corrections
• Rovibrational computations for the He${}_2$ a ${}^3{\Sigma }_{\mathrm{u}}^{+}$ state including non-adiabatic, relativistic, and QED corrections