CALCULATION OF EFFECTIVE COULOMB INTERACTION FOR PR3+, U4+, AND UPT3

In this paper, the Slater integrals for a screened Coulomb interaction of the the Yukawa form are calculated and by fitting the Thomas-Fermi wave vector, good agreement is obtained with experiment for the multi plet spectra of Pr3+ and U4+ ions. Moreover, a predicted multiplet spe ctrum for the heavy fermion superconductor UPt3 is shown with a calcul ated 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.