Time-dependent Hartree-Fock calculations of fusion cross sections for the reactionsO16+O16andCa40+Ca40

Abstract

We have calculated total fusion cross sections for the reactions ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ + ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ and ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$ + ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$ using time-dependent Hartree-Fock theory in the rotating frame approximation. The full Skyrme potential has been employed, and neutrons and protons have been treated separately in the calculations. The results show that the fusion cross sections for the ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$ + ${}_{}{}^{40}{}_{}{}^{}\mathrm{Ca}$ system at low bombarding energy are greatly enhanced by the elimination of the previously enforced neutron-proton symmetry. Approximate inclusion of the Coulomb exchange term does not affect the results in either of the light systems studied. The results are in semiquantitative agreement with experiment, and the sensitivity of the calculations to the effective interaction employed suggests that the discrepancy between theoretical and experimental results can be substantially reduced.