Density matrix approach to the complex heavy ion optical potential

Abstract

We extend the applicability of the density matrix expansion to a complex effective interaction depending both on the density and the kinetic energy density. A detailed study of the kinetic energy density dependence of the density matrix expansion coefficients is given. The corresponding energy density has a parametrized form which is tested in the calculation of the optical potential of the $^{16}\mathrm{O}$+ $^{16}\mathrm{O}$ system at several energies. Exact results are well reproduced by the complex density matrix expansion.NUCLEAR REACTIONS Density matrix expansion for a complex effective interaction; application to heavy ion optical potential.