Magnetic dipole transitions in the H$_2^+$ ion

TL;DR

This paper calculates magnetic dipole transitions in the H$_2^+$ ion across various vibrational and rotational states, incorporating spin effects within a nonrelativistic framework, providing detailed transition data.

Contribution

It provides comprehensive calculations of magnetic dipole transitions in H$_2^+$, including spin effects, across a wide range of quantum states, which was not previously available.

Findings

Calculated transition probabilities for various vibrational and rotational states.

Included spin considerations in the transition calculations.

Results applicable for spectroscopic analysis of H$_2^+$.

Abstract

The magnetic dipole transitions in the homonuclear molecular ion H$_2^+$ are obtained for a wide range of $v$ and $L$, vibrational and total orbital momentum quantum numbers, respectively. Calculations are performed in the nonrelativistic approximation. Spin consideration is also included.