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Static electric and magnetic multipole susceptibilities for Dirac one-electron atoms in the ground state
Abstract
We present tabulated data for several families of static electric and magnetic multipole susceptibilities for hydrogenic atoms with nuclear charge numbers from the range $1\leq Z\leq137$. Atomic nuclei are assumed to be point-like and spinless. The susceptibilities considered include the multipole electric polarizabilities $\alpha_{\mathrm{E}L\to\mathrm{E}L}$ and magnetizabilities (magnetic susceptibilities) $\chi_{\mathrm{M}L\to\mathrm{M}L}$ with $1\leq L\leq4$ (i.e., the dipole, quadrupole, octupole and hexadecapole ones), the electric-to-magnetic cross-susceptibilities $\alpha_{\mathrm{E}L\to\mathrm{M}(L−1)}$ with $2\leq L\leq5$ and $\alpha_{\mathrm{E}L\to\mathrm{M}(L+1)}$ with $1\leq L\leq4$, the magnetic-to-electric cross-susceptibilities $\chi_{\mathrm{M}L\to\mathrm{E}(L−1)}$ with $2\leq L\leq5$ and $\chi_{\mathrm{M}L\to\mathrm{E}(L+1)}$ with $1\leq L\leq4$ (it holds that $\chi_{\mathrm{M}L\to\mathrm{E}(L∓1)}=\alpha_{\mathrm{E}(L∓1)\to\mathrm{M}L}), and the electric-to-toroidal-magnetic cross-susceptibilities $\alpha_{\mathrm{E}L\to\mathrm{T}L}$ with $1\leq L\leq4$. Numerical values are computed from general exact analytical formulas, derived by us elsewhere within the framework of the Dirac relativistic quantum mechanics, and involving generalized hypergeometric functions ${}_{3}F_{2}$ of the unit argument.
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
-
ATOMIC DATA AND NUCLEAR DATA TABLES
no. 111-112,
pages 41 - 66,
ISSN: 0092-640X - Language:
- English
- Publication year:
- 2016
- Bibliographic description:
- Szmytkowski R., Łukasik G.: Static electric and magnetic multipole susceptibilities for Dirac one-electron atoms in the ground state// ATOMIC DATA AND NUCLEAR DATA TABLES. -Vol. 111-112, (2016), s.41-66
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.adt.2016.02.002
- Verified by:
- Gdańsk University of Technology
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