Relativistic corrections of order mα^6 to the two-center problem

Details Relativistic corrections of order mα^6 to the two-center problem Relativistic corrections of order mα^6 to the two-center problem

2007-04-23

arxiv.org/abs/0704.2965v2

J. Phys. B: At. Mol. Opt. Phys. 40 (2007) 2661-2669

Physics

Atomic Physics

12 pages, 3 tables 2 figures; submitted to the Journal of Physics B

Scientific paper

10.1088/0953-4075/40/13/011

Effective potentials of the relativistic m\alpha^6 order correction for the ground state of the Coulomb two-center problem are calculated. They can be used to evaluate the relativistic contribution of that order to the energies of hydrogen molecular ions or metastable states of the antiprotonic helium atom, where precision spectroscopic data are available. In our studies we use the variational expansion based on randomly chosen exponents that permits to achieve high numerical accuracy.

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