Singlet-Quintet Mixing in Spin-Orbit Coupled Superconductors with Spin-3/2 Fermions

In this work we explored the mixing between spin-singlet pairing and spin-quintet pairing in a spin-orbit coupled superconductors with spin-3/2 fermions. We demonstrate the importance of this new pairing mixing by revealing the emergence of nodal line and the enhancement of critical temperature due to this mechanism. Our theory can be applied to half-Heusler compounds with superconductivity.