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Relativistic and QED corrections to the $2pσ_{u}(\upsilon = 1)$ vibrational state of the $H^{+}_{2}$ molecular ion

J. Carbonell·R. Lazauskas·V. I. Korobov
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Abstract

Relativistic and QED corrections to the recently discovered first vibrational $2pσ_u$ state are presented. This state has an extremely small nonrelativistic binding energy $E_B=1.085045252(1)\times10^{-9}$ a.u. Its wave functions has a maximum at $R\approx100$ 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.

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J. Carbonell, R. Lazauskas, V. I. Korobov. 2004-11-03. Relativistic and QED corrections to the $2pσ_{u}(\upsilon = 1)$ vibrational state of the $H^{+}_{2}$ molecular ion. https://doi.org/10.1088/0953-4075/37/14/012

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