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PreprintarXiv licencearXiv

Atomic Static Electric Quadrupole Polarizability from Relativistic Many-Body Theory With Application To Thulium (6s2 4f13)\, 2F7/2 and 2F5/2

Abstract

In the present work a method for calculating atomic static electric rank-n tensor quadrupole polarizabilities αQ(n)(J) for arbitrary atomic electronic structure is presented. It is based on a linear-symmetry representation of atomic states using large-scale relativistic configuration interaction wavefunctions, and the quadrupole polarizabilities are obtained by a sum-over-states approach. The major result from applying this method to atomic thulium is αQ(0)(7/2) = 2496+0−231 \au for the electronic ground term 2F7/2 static electric scalar quadrupole polarizability which is roughly a factor of four smaller than same property in the electronic ground state of the cesium atom. This finding adds to the favorable properties of thulium atoms in atomic-clock research.

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BibTeX
@misc{fleig2026atomic,
  title = {{Atomic Static Electric Quadrupole Polarizability from Relativistic Many-Body Theory With Application To Thulium $\left(6s^2\, 4f^13\right)$\, $^2F_7/2$ and $^2F_5/2$}},
  author = {Timo Fleig},
  howpublished = {arXiv},
  year = {2026},
  month = nov,
  doi = {10.48550/arxiv.2611.08348},
  eprint = {2611.08348},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2611.08348},
}
RIS
TY  - UNPB
TI  - Atomic Static Electric Quadrupole Polarizability from Relativistic Many-Body Theory With Application To Thulium (6s^2 4f^13)\, ^2F_7/2 and ^2F_5/2
AU  - Timo Fleig
PY  - 2026
DA  - 2026/11/05
PB  - arXiv
DO  - 10.48550/arxiv.2611.08348
UR  - https://arxiv.org/abs/2611.08348
AB  - In the present work a method for calculating atomic static electric rank-n tensor quadrupole polarizabilities α_Q^(n)(J) for arbitrary atomic electronic structure is presented. It is based on a linear-symmetry representation of atomic states using large-scale relativistic configuration interaction wavefunctions, and the quadrupole polarizabilities are obtained by a sum-over-states approach. The major result from applying this method to atomic thulium is α_Q^(0)(7/2) = 2496^+0_−231 \au for the electronic ground term ^2F_7/2 static electric scalar quadrupole polarizability which is roughly a factor of four smaller than same property in the electronic ground state of the cesium atom. This finding adds to the favorable properties of thulium atoms in atomic-clock research.
ER  -