Hard-core repulsive interactions in even-parity electron pairings for heavy-fermion systems

By studying the Anderson lattice Hamiltonian with spin-orbit coupling using an auxiliary boson method, we have examined the hard-core repulsive interactions in heavy-fermion materials. As a consequence of the anisotropy of the repulsive interaction, all lower-order partial-wave Cooper pairings in the even-parity channel are strongly impeded.