Related papers: Gordon decomposition of the magnetizability of the relativistic hydrogenlike atoms in an arbitrary discrete energy state

Gordon decomposition of the magnetizability of the relativistic hydrogenlike atoms in an arbitrary discrete energy state

URL: http://arxiv.org/abs/2006.03892v1
Date: Sat, 6 Jun 2020 15:33:29 GMT
Title: Gordon decomposition of the magnetizability of the relativistic hydrogenlike atoms in an arbitrary discrete energy state
Authors: Patrycja Stefa\'nska
Abstract summary: We present Gordon decomposition of magnetizability of Dirac one-electron atom in discrete energy eigenstate $Ze$. The external magnetic field, by which the atomic state is perturbed, is assumed to be weak, static, and uniform. We present also numerical values of relative dia- and paramagnetic contributions to the magnetizability for some excited states of selected hydrogenlike ions with $1 leqslant Z leqslant 137.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We present Gordon decomposition of the magnetizability of Dirac one-electron atom in an arbitrary discrete energy eigenstate, with a pointlike, spinless and motionless nucleus of charge $Ze$. The external magnetic field, by which the atomic state is perturbed, is assumed to be weak, static, and uniform. Analytical derivation of closed-form expressions for the diamagnetic ($\chi_{d}$) and paramagnetic ($\chi_{p}$) contributions to $\chi$ are performed with the use of the Sturmian series representation of the first-order Dirac--Coulomb Green function combined with the theory of special functions. The received formula for $\chi_{p}$ contains the generalized hypergeometric functions ${}_3F_2$ of the unit argument, while $\chi_{d}$ is of an elementary form. For the atomic ground state, our both general results reduce to formulas obtained earlier by other author. We present also numerical values of relative dia- and paramagnetic contributions to the magnetizability for some excited states of selected hydrogenlike ions with $1 \leqslant Z \leqslant 137$ and compare them with data available in the literature.

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