In a two component fermion system, the mismatched Fermi surfaces prevent the formation of Cooper pairsbetween the two spices near their average Fermi surface. Our previous work[1] has shown that the angle dependenceof the non s-wave pairing gap can reduce the effect of the difference μ between the Fermi surfaces of two spices inasymmetric nuclear matter. On the other hand, in the heavy fermion superconductors, such as CeCoIn5 pressuredCeRhIn5 NpPd5Al2 and Tl-based cuprates, may have a couple of common features, for example, the d-wave pairingand a strong paramagnetic effect (the difference of the two Fermi surfaces μ). Therefore, the angle dependence ofthe pairing gap may have significant influence in these systems.