Inatwocomponentfermionsystem,themismatchedFermisurfacespreventtheformationofCooperpairsbetweenthetwospicesneartheiraverageFermisurface.Ourpreviouswork[1]hasshownthattheangledependenceofthenons-wavepairinggapcanreducetheeffectofthedifferenceμbetweentheFermisurfacesoftwospicesinasymmetricnuclearmatter.Ontheotherhand,intheheavyfermionsuperconductors,suchasCeCoIn5pressuredCeRhIn5NpPd5Al2andTl-basedcuprates,mayhaveacoupleofcommonfeatures,forexample,thed-wavepairingandastrongparamagneticeffect(thedifferenceofthetwoFermisurfacesμ).Therefore,theangledependenceofthepairinggapmayhavesignificantinfluenceinthesesystems.