In this paper, the Slater integrals for a screened Coulomb interaction of the the Yukawa form are calculated and by fitting the Thomas-Fermi wavevector, good agreement is obtained with experiment for the multiplet spectra of Pr3+ and U4+ ions. Moreover, a predicted multiplet spectrum for the heavy fermion superconductor UPt3 is shown with a calculated Coulomb U of 1.6 eV. These effective Coulomb interactions, which are quite simple to calculate, should be useful inputs to further many-body calculations in correlated electron metals.
@article{arxiv.cond-mat/9501111,
title = {Calculation of Effective Coulomb Interaction for $Pr^{3+}$, $U^{4+}$, and $UPt_3$},
author = {M. R. Norman},
journal= {arXiv preprint arXiv:cond-mat/9501111},
year = {2016}
}