Erlangen 2018 – wissenschaftliches Programm
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A: Fachverband Atomphysik
A 17: Atoms in external fields
A 17.3: Vortrag
Montag, 5. März 2018, 16:45–17:00, K 2.019
Analytic model of a multi-electron atom — •Oleg D Skoromnik1, Ilya D Feranchuk2,3,4, Alexander U Leonau4, and Christoph H Keitel1 — 1Max Planck Institute for Nuclear Physics, Saupfercheckweg 1, 69117 Heidelberg, Germany — 2Atomic Molecular and Optical Physics Research Group, Ton Duc Thang University, 19 Nguyen Huu Tho Str., Tan Phong Ward, District 7, Ho Chi Minh City, Vietnam — 3Faculty of Applied Sciences, Ton Duc Thang University, 19 Nguyen Huu Tho Str., Tan Phong Ward, District 7, Ho Chi Minh City, Vietnam — 4Belarusian State University, 4 Nezavisimosty Ave., 220030, Minsk, Belarus
We put forward a fully analytical approximation for the observable characteristics of many-electron atoms, which is obtained via a complete and orthonormal hydrogen-like basis. The basis contains a single-effective charge parameter that is identical for all electrons of a given atom. The completeness of the basis allows us to employ the secondary-quantized representation for the construction of regular perturbation theory, which includes correlation effects and converges fast. The hydrogen-like basis set provides a possibility to perform all summations over intermediate states in closed form, including both the discrete and continuous spectra. We demonstrate that our fully analytical zeroth-order approximation describes the whole spectrum of the system and provides accuracy, which is independent of the number of electrons. Moreover, the second-order perturbation theory results become comparable with those via a multi-configuration Hartree-Fock approach. [1] J. Phys. B 50 245007 (2017) https://doi.org/10.1088/1361-6455/aa92e6