# 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 $E_B=1.085045252(1)\times10^{-9}$ 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.
Document type :
Journal articles

Cited literature [8 references]

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Submitted on : Wednesday, November 3, 2004 - 10:56:55 AM
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### Citation

J. Carbonell, R. Lazauskas, V.I. Korobov. Relativistic and QED corrections to the $2p\sigma_{u}(\upsilon = 1)$ vibrational state of the $H^{+}_{2}$ molecular ion. Journal of Physics B: Atomic, Molecular and Optical Physics, IOP Publishing, 2004, 37, pp.2997-3002. ⟨in2p3-00023242⟩

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