Abstract
Momentum space three-dimensional time-dependent Hartree-Fock (TDHF) calculations are performed for $^{12}\mathrm{C}$ + $^{14}\mathrm{N}$ and $^{16}\mathrm{O}$ + $^{16}\mathrm{O}$ collisions. The potential is the simplified Skyrme interaction which gives the single-particle potential ${v}_{N}(r)=\ensuremath{-}a\ensuremath{\rho}(\stackrel{\ensuremath{\rightarrow}}{\mathrm{r}})+b{\ensuremath{\rho}}^{2}(\stackrel{\ensuremath{\rightarrow}}{\mathrm{r}})$, and includes the direct part of the Coulomb interaction. We use a predictor corrector method to step in time and a fast Fourier transform (FFT) method to compute the kinetic energy in momentum space. Three types of events are obtained: vibrational instability scattering at low impact parameters $b$, near orbiting at medium $b$ values, and rotational instability scattering beyond that. The discussion points out that further improvements will require a fusion window and quantal corrections for angular and energy uncertainties which go beyond the TDHF method.NUCLEAR REACTIONS $^{14}\mathrm{N}$(112MeV)+$^{12}\mathrm{C}$, $^{16}\mathrm{O}$(128 MeV)+$^{16}\mathrm{O}$, calculated deflection functions using time-dependent Hartree-Fock approximation.
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