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

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 $A_{n{n}^{\prime }}$ 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.

5 pages, 3 tables, submitted to PRA

References in corpus (2)

• Ortho-para transition in molecular hydrogen
• Laser-stimulated electric quadrupole transitions in the molecular hydrogen ion H2+

Cited by in corpus (1)

• Quantum control of a single ${\mathrm{H}}_2^{+}$ molecular ion