Superheavy Element Synthesis via Polarized Ion Beams

In this study, we develop a system for enhancing superheavy element synthesis through controlled nuclear polarization. Current fusion-evaporation methods achieve picobar cross sections with uncontrolled entrance dynamics. Our approach represents nuclear synthesis as transition networks on curved configuration spaces, where geodesics encode classical trajectories and graph weights capture quantum tunneling probabilities. By incorporating spin and orientation polarization of deformed nuclei, we demonstrate systematic control over entrance barriers and decay competition. Application to $^{48}\mathrm{Ca}+^{248}\mathrm{Cm}\to{}^{296}116^{*}$ shows that orientation alignment of deformed targets reduces Coulomb barriers by ~50 MeV and excitation energies by ~5 MeV, enhancing survival probability by an order of magnitude. The approach unifies geometric, network, and nuclear structure approaches to identify polarization as a practical tool for extending superheavy element production beyond current limits.