Direct inelastic scattering ofN14+C12in a three-dimensional time-dependent Hartree-Fock scheme

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 $v_N\mathrm{}\left(r\right)=-a\rho \left(\overrightarrow{\mathrm{r}}\right)+b{\rho }^2\left(\overrightarrow{\mathrm{r}}\right)$, 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.