pelativistic correction to the 1 s sigma and 2p sigma electronic states of the H_2~+molecular ion and the moleculelike states of the antiprotonic helium He~+p

摘要

Effective potentials of the relativistic Breit-Pauli corrections for the 1s sigma_g and 2p sigma_u electron states of the H_2~+molecular ion and the 1s sigma,2s sigma,and 3psigma states of the antiprotonic helium atom He~+p are calculated within the Born-Oppenheimer approximation.The variational expansion with randomly chosen exponents has been used for numerical studies.The results obtained for the Breit-Pauli effective potentials are accurate up to ten significant digits for the H_2~-molecular ion and eight digits for the He~+p atom.