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

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

2004-11-03

arxiv.org/abs/physics/0411031v1

Journal of Physics B 37 (2004) 2997-3002

Physics

Atomic Physics

Scientific paper

10.1088/0953-4075/37/14/012

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.

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