Quadrupole transitions in the bound rotational–vibrational spectrum of the deuterium molecular ion

Abstract

After the three-body molecular system H (J. Phys. B: At. Mol. Opt. Phys. 45 065101), its isotopomer, the deuterium molecular ion D is studied. The three-body Schrödinger equation is solved using the Lagrange-mesh method. Energies and wave functions for four vibrational states v = 0–3 and bound or quasibound states for total orbital momenta from 0 to 56 are calculated. The fundamental constant md = 3670.483 014 me is used. Energies are presented with an accuracy from about 13 digits for the lowest vibrational state up to 9 digits for the third vibrational excited state. Quadrupole transition probabilities per time unit between those states over the whole rotational bands were calculated. Extensive results are presented with six significant figures.