Microscopic study of Ca$+$Ca fusion

Abstract

We investigate the fusion barriers for reactions involving Ca isotopes ${}^{40}\mathrm{Ca}+{}^{40}\mathrm{Ca}$, ${}^{40}\mathrm{Ca}+{}^{48}\mathrm{Ca}$, and ${}^{48}\mathrm{Ca}+{}^{48}\mathrm{Ca}$ using the microscopic time-dependent Hartree-Fock theory coupled with a density constraint. In this formalism the fusion barriers are directly obtained from TDHF dynamics. We also study the excitation of the pre-equilibrium GDR for the ${}^{40}\mathrm{Ca}+{}^{48}\mathrm{Ca}$ system and the associated $\gamma$-ray emission spectrum. Fusion cross-sections are calculated using the incoming-wave boundary condition approach. We examine the dependence of fusion barriers on collision energy as well as on the different parametrizations of the Skyrme interaction.

Comments: 11 pages, 13 figures