symmetric fission of $^{180}$Hg and the role of hexadecapole moment

In current work, the fission property of $^{180}$Hg is investigated based on the Skyrme density functional theory (DFT). The impact of the high-order hexadecapole moment (q$_{40}$) is found at large deformations. With the q$_{40}$ constraint, a smooth and continuous potential energy surfaces (PES) could be obtained. Especially, the hexadecapole moment constraint is essential to get proper scission configurations. The static fission path based on the PES supports the asymmetric fission of $^{180}$Hg. The asymmetric distribution of the fission yields of $^{180}$Hg is further reproduced by the time-dependent generator coordinate method (TDGCM), and agrees well with the experimental data.