Comparison of quantised ATDHF and GCM theory with application to the 12C+20Ne system

Abstract

A conceptional and numerical comparison of the one parameter generator coordinate method (GCM) and the quantised adiabatic time-dependent Hartree-Fock (ATDHF) theory is performed by applying both theories to the 12C+20Ne and 16O+16O system. Different parametrisations of the Skyrme interaction are used. The single-particle wavefunctions and the operators are represented on a three-dimensional grid in coordinate and momentum space. The collective path is evaluated in the gradient method, corresponding to GDM, and by solving the numerically more involved ATDHF equations.