Few-Body Systems

, Volume 54, Issue 7–10, pp 1533–1536 | Cite as

Quadrupole Transitions in the Bound Rotational-Vibrational Spectrum of the Hydrogen Molecular Ion

Article

Abstract

The three-body Schrödinger equation of the \({{\rm H}_{2}^{+}}\) hydrogen molecular ion is solved in perimetric coordinates using the Lagrange-mesh method. Energies and wave functions of the four lowest vibrational bound or quasibound states for total orbital momenta from 0 to 40 are calculated with high accuracy. A simple calculation using the associated Gauss quadrature provides accurate quadrupole transition probabilities per time unit between those states over the whole rotational bands.

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Copyright information

© Springer-Verlag Wien 2012

Authors and Affiliations

  1. 1.Physique Quantique C.P. 165/82, and Physique Nucléaire Théorique et Physique Mathématique, C.P. 229Université Libre de Bruxelles (ULB)BrusselsBelgium

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