Relativistic and QED corrections to the $2p{\sigma }_u(\upsilon =1)$ vibrational state of the $H_2^{+}$ molecular ion

Abstract

Relativistic and QED corrections to the recently discovered first vibrational $2p{\sigma }_u$ state are presented. This state has an extremely small nonrelativistic binding energy $E_B=1.085045252(1)\times 10^{-9}$ a.u. Its wave functions has a maximum at $R\approx 100$ a.u. and extends up to several hundreds. It is shown that this state does not disappear if higher order relativistic and QED corrections, including the Casimir--Polder effect, are taken into account.

References in corpus (3)

• Quantum Electrodynamics of the Helium Atom
• A new vibrational level of the H${}_2^{+}$ molecular ion
• Scattering of heavy charged particles on hydrogen atoms

Cited by in corpus (4)

• Observation and calculation of the quasi-bound rovibrational levels of the electronic ground state of H${}_2^{+}$
• Structure and dynamics of H${}_2^{+}$ near the dissociation threshold: a combined experimental and computational investigation
• Some applications of the Faddeev-Yakubovsky equations to the cold-atom physics
• Adiabatic and post-adiabatic hyperspherical treatment of the huge ungerade proton-hydrogen scattering length