Spontaneous fission half-lives for heavy and super-heavy nuclei from phenomenological models

Abstract A phenomenological model is proposed for a systematic description of the spontaneous fission (SF) half-lives T SF of heavy and super-heavy nuclei. Based on the effective tunneling barrier (ETB), the proposed approach reproduces the SF half-lives of 79 known nuclei with an average deviation of 0.8, which is 17% smaller than that of the linear correlation approach recently proposed in [N. S. Moiseev, N. V. Antonenko and G. G. Adamian, Phys. Rev. C 112 , 034607 (2025)]. For superheavy nuclei with 45≤ N-Z ≤ 61, the predicted SF half-lives from these two different phenomenological models are in good agreement with each other. The ETB calculations implies that the β-decay energy affects the SF half-lives of nuclei far from the β-stability line. For superheavy nuclei around the magic number N=184, the predicted T SF of 304 120 is much shorter than that of 298 Fl. With predicted values of about 10∽160 ms for T SF , the unmeasured SHN 293 119 could survive for long enough to reach the focal-plane detector in detection systems like the gas-filled recoil separator SHANS in Lanzhou.