Many-Body Theory of the Magnetic Hyperfine Interaction in the Excited State () of the Beryllium Atom
- 1 May 1973
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 7 (5), 1469-1479
- https://doi.org/10.1103/physreva.7.1469
Abstract
The hyperfine interaction in the () excited state of the beryllium atom is of interest since it is the lowest excited state in which hyperfine effects can occur, the ground state being a singlet. In the present work the magnetic hyperfine interaction for is studied theoretically using the linked cluster many-body perturbation theory including up to second order in the electron-electron interaction, certain classes of ladder diagrams, and selected third-order diagrams. Our theoretical value of in is composed of - 107.41 MHz from the zero-order valence and electrons and - 16.80 MHz from higher-order diagrams the total value - 124.21 MHz being in good agreement with the experimental result of - 124.5368±0.0017 MHz. The contributions from various diagrams are interpreted in terms of physical effects such as exchange core-polarization and correlation effects, the influence of interactions being significant in influencing the hyperfine constant.
Keywords
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