Three-dimensional time-dependent Hartree-Fock calculations ofO16+O16andCa40+Ca40fusion cross sections

Abstract

Three-dimensional time-dependent Hartree-Fock calculations for the ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ + ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ and ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$ + ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$ fusion excitation functions are presented. Results for the former system are in good agreement with experiment for $E_{\mathrm{lab}}\le 120$ MeV and indicate a dynamical lower angular momentum limit to fusion for $E_{\mathrm{lab}}\ge 54$ MeV. Results for ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$ + ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$ are compared with previous two-dimensional calculations. The low-energy fusion cross sections obtained for this system demonstrate the sensitivity of time-dependent Hartree-Fock calculations to the effective interaction used.