Evaluation of the Coulomb and exchange integrals for higher excited states of helium atom, taking into account the interaction between magnetic moments of the electrons

TL;DR

This paper calculates the total energy of helium's higher excited states by evaluating Coulomb and exchange integrals with magnetic interactions, aligning well with experimental data.

Contribution

It introduces a method that incorporates magnetic moment interactions into Coulomb and exchange integral calculations for helium's excited states.

Findings

Results agree with experimental data

Magnetic interactions significantly affect energy calculations

Method improves accuracy of excited state energy estimates

Abstract

We have calculated the total energy of the helium atom in higher excited state. The Coulomb and exchange integrals are evaluated via spherical harmonics. The interaction of the magnetic moments of the electrons between them and also with the magnetic moments of the nucleus was taken into account through a cosine term in the Coulomb potential. The obtained results are in agreement with experimental data.