Electric quadrupole transitions in deuterium molecular ion

Abstract

Hydrogen molecular ions, due to their simple structure, give the possibility of precise theoretical evaluation of their spectrum and transitions. These ions are shown to be of metrological relevance. In previous study, the intensity of laser-induced electric quadrupole transitions between arbitrary Zeeman split components of H2+ hyperfine structure has been calculated. In the present work, we continue studying hydrogen molecular ions by computing the ro-vibrational electric quadrupole transition rates of the deuterium molecular ion D2+. The matrix elements of the electric quadrupole operator are calculated with non-relativistic wavefunctions obtained in the variational approach. In comparison with earlier results on this topic, in our work we use non-relativistic variational wavefunctions for the deuterium molecular ion and this paper includes electric quadrupole matrix elements for higher vibrational states up to ν = 10.