Modelling incomplete fusion dynamics of complex nuclei at Coulomb energies

The incomplete fusion dynamics of $_{10}^{20}\mathrm{Ne}+_{82}^{208}\mathrm{Pb}$ collisions at energies above the Coulomb barrier are investigated using a novel semiclassical dynamical model, which combines a classical trajectory model with stochastic breakup, as implemented in the platypus code, with a dynamical fragmentation theory treatment of two-body clusterization and decay of a projectile. A finite-difference method solution to the time-independent Schr\"odinger equation in the charge asymmetry coordinate is employed by way of diagonalizing a tridiagonal Hamiltonian matrix with periodic boundary conditions. Results are compared with published experimental values to indicate the success of this new model, and next steps for its development are detailed.

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