Systematics of Survival Probability in Fusion Reactions with Radioactive Targets Forming Compound Nuclei in the Range 91 ≤

The synthesis of superheavy nuclei (SHN) through heavy-ion fusion-evaporation reactions critically depends on the probability that an excited compound nucleus survives fission during de-excitation. In this work, a simple semi-empirical relation for the survival probability (Wsur) has been formulated by systematically analyzing experimental data corresponding to compound nuclei in the atomic number range 91 ≤ Z ≤ 104. The proposed expression incorporates the effects of excitation energy, Coulomb interaction parameter (ZCoul) and compound nuclear charge, enabling a unified description of survival behavior across diverse reaction systems. The model reproduces the general trend of decreasing Wsur with increasing excitation energy and nuclear charge, consistent with enhanced fission competition in heavier systems. The empirical formula successfully captures the energy and charge dependence of Wsur though it tends to overestimate the magnitude by one to three orders for highly fissile nuclei. The framework provides a computationally efficient alternative for estimating survival probabilities in regions where microscopic approaches are limited or experimental data are unavailable, offering valuable guidance for optimizing reaction parameters in superheavy element synthesis.