Analytical formula for the Uehling potential

Details Analytical formula for the Uehling potential Analytical formula for the Uehling potential

2011-10-15

arxiv.org/abs/1110.3433v3

Physics

Nuclear Physics

Nuclear Theory

arXiv admin note: substantial text overlap with arXiv:1103.2044

Scientific paper

The closed analytical expression for the Uehling potential is derived. The Uehling potential describes the lowest-order correction on vacuum polarization in atomic and muon-atomic systems. By using our three-term analytical formula for the Uehling potential we evaluated the vacuum polarization correction(s) for the ground states in some two-electron ions. The analytical formula for the Uehling potential allows us to derive the general expression for the interaction potential between two point electric charges. This analytical formula provides the correct asymtotic behaviour at large distances between two interacting electric charges.

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