Abstract
We extend the existing 1/N slave-boson calculations for the uranium-based heavy-fermion compounds of hexagonal symmetry, e.g. UPt 3 , to include the crystal field and anisotropy of the hybridization matrix element. The crystal field splitting, being comparable to the Kondo temperature, is not negligible in these compounds. The anisotropic form of the hybridization matrix element is determined and incorporated in the numerical calculation of the magnetic susceptibility. This is used to check the possible extension of the recent claim [4] that the anisotropy can induce a metamagnetic-like transition for the cerium-based heavy-fermion compounds. © 1994.