Collective mass parameters and linear response techniques in three-dimensional grids

Abstract

We discuss four prescriptions for evaluating a collective mass parameter suitable for translations, rotations and large amplitude collective motions. These are the adiabatic time dependent Hartree-Fock theory (ATDHF) and the generator coordinate method (GCM), both with and without curvature corrections. As practical example we consider the¹⁶O+¹⁶O collision using a recently developed density dependent interaction with direct Yukawa and Coulomb terms. We present a fast iteration scheme for solving the linear response equation in a three-dimensional coordinate or momentum space grid. As test cases we consider the rotational and translational inertia parameters for various distances between the heavy ions. We find that curvature corrections are negligible whereas the difference between ATDHF and GCM may amount to about 35% in case of rotation.