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arXiv · 2211.09396

Forbidden "ortho"--"para" electric dipole transitions in H$_2^+$ ion

V. I. Korobov·D. Bakalov
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Abstract

We present the first systematic calculation of the electric dipole forbidden transitions in the homonuclear molecular ion H$_2^+$. We get that the transition rate from the ground "ortho" $(v\!=\!0,N\!=\!1,J\!=\!1/2)$ state to the ground "para" $(v\!=\!0,N\!=\!0,J\!=\!1/2)$ state is $4.9\!\times\!10^{-14}$ s$^{-1}$ that corresponds to the lifetime of $6.4\!\times\!10^5$ yr. The Einstein coefficient $A_{nn'}$ for the $(v\!=\!1,N\!=\!1,J\!=\!1/2)\!\to\!(v\!=\!0,N\!=\!0,J\!=\!1/2)$ transition is equal to $0.12\!\times\!10^{-9}$ s$^{-1}$, which is of "comparable" order with the values for quadrupole transitions in H$_2^+$. It gives hope that the "ortho"--"para" transitions in H$_2^+$ can be induced by the laser spectroscopy.

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V. I. Korobov, D. Bakalov. 2022-11-17. Forbidden "ortho"--"para" electric dipole transitions in H$_2^+$ ion. https://doi.org/10.1103/physreva.107.022812

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