Describing heavy-ion fusion with quantum coupled-channels wave-packet dynamics

We investigate the fusion of $^{16}\mathrm{O}$ and $^{154}\mathrm{Sm}$ with excited states at Coulomb energies using a theoretical dynamical model. The two-body Schr\"odinger equation is solved using the time-dependent wave-packet coupled-channels method. The wave function of the collective motion and excitations are visualized in both position and momentum space, providing a detailed mechanism of the reaction. We benchmark our calculations of the energy-resolved fusion transmission coefficients with those from the time-independent coupled-channels method. The present results are in good agreement with the time-independent results for a wide range of energies and angular momenta, demonstrating both the reliability of the quantum wave-packet dynamical approach for fusion and its usefulness for providing additional insights into fusion dynamics.