Speaker
Description
Outside the conventional trans-lead region, the recently identified $^{12}$C emission from the odd-odd proton-rich nucleus $^{116}$Cs was found to be more probable than predicted by existing macroscopic and semi-empirical systematics, motivating a microscopic description of its cluster-formation and tunnelling dynamics. We investigate how pairing correlations and deformation govern the $^{116}$Cs$\rightarrow{}^{104}$In+$^{12}$C decay using self-consistent HFBTHO calculations with the SkM* and SLy4 energy-density functionals, combined with a microscopic barrier-penetration description. Volume, mixed, and surface pairing are considered to probe the spatial localization of pairing correlations from the saturated nuclear interior toward the surface. We find that pairing and deformation primarily regulate the decay by modifying the relative parent-daughter binding and, consequently, the decay energy $Q$, whereas the barrier height and radius vary comparatively weakly. Comparison with conventional trans-lead cluster emitters further indicates a different balance between formation hindrance and quantum tunnelling in this proton-rich odd-odd system.