Nonadiabatic corrections to electric quadrupole transition rates in H$_2$

TL;DR

This paper derives formulas and performs calculations to quantify nonadiabatic corrections to electric quadrupole transition rates in H₂, revealing corrections of up to 12% depending on quantum states.

Contribution

It introduces a method to compute nonadiabatic corrections to electric quadrupole transition rates in hydrogen molecules, extending previous Born-Oppenheimer models.

Findings

Corrections can reach up to 12% for certain transitions.

Numerical results show significant impact on fundamental band transition rates.

Formulas relate nonadiabatic corrections to quadrupole moment curves.

Abstract

We derive formulas and perform calculations of nonadiabatic corrections to rates of electric quadrupole transitions in the hydrogen molecule. These corrections can be represented in terms of the quadrupole moment curve $D^{(1)}(R)$, similarly to the Born-Oppenheimer one, $D^{(0)}(R)$, derived originally by Wolniewicz. Numerical results change E2 transition rates for the fundamental band by as much as 0.4 - 12\% depending on rotational quantum numbers.