Static Dipole Polarizability for the $1S\sigma$ electronic state of the $H^+_2$ molecular ion

TL;DR

This paper accurately calculates the static dipole polarizability of the $1s\sigma$ state in the $H_2^+$ molecular ion using a variational method, providing highly precise numerical results within the Born-Oppenheimer approximation.

Contribution

It introduces a highly precise calculation of the dipole polarizability for $H_2^+$ using a variational expansion with randomly chosen exponents, achieving nine-digit accuracy.

Findings

Dipole polarizability computed to nine-digit precision.

Validation of variational expansion with random exponents.

Application within the Born-Oppenheimer approximation.

Abstract

The static dipole polarizabibility for the $1s\sigma$ electron state of the $\mathrm{H}_{2}^{+}$ hydrogen molecular ion is calculated within Born-Oppenheimer approximation. The variational expansion with randomly chosen exponents has been used for numerical studies. The results obtained for the dipole polarizability are accurate to the nine digits.