Pairing and alpha-decay

Nuclear pairing interaction plays a crucial role in both macroscopic-microscopic and fully macroscopic descriptions of nuclei. In the present study we discuss different pairing interactions (monopole and delta pairing forces) and the methods allowing for the particle number symmetry restoration in addition to the customary BCS treatment of pairing correlations in the context of $\alpha$-decay half-lives for superheavy nuclei. The calculations are done in the macroscopic-microscopic framework for even-even nuclei with Z > 110.