A new vibrational level of the H${}_2^{+}$ molecular ion

Abstract

A new state of the H${}_2^{+}$ molecular ion with binding energy of 1.09$\times 10^{-9}$ a.u. below the first dissociation limit is predicted, using highly accurate numerical nonrelativistic quantum calculations. It is the first L=0 excited state, antisymmetric with respect to the exchange of the two protons. It manifests itself as a huge p-H scattering length of $a=750\pm 5$ Bohr radii.

6 pages + 3 figures

References in corpus (1)

• Scattering of heavy charged particles on hydrogen atoms

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