A COMPARISON BETWEEN VELOCITY- AND DENSITY-DEPENDENT INTERACTIONS IN FINITE NUCLEI CALCULATIONS

A comparison is made between Hartree-Fock calculations utilizing a velocity-dependent interaction of quadratic form and an interaction in which the velocity dependence is converted to a density dependence. The conversion is made so that it is exact for nuclear matter. For finite nuclei considerable differences between the two interactions occur when computing density distributions and energy spectra of level states. Total binding energies also give errors of 1.5 MeV/A for 16O and 1.0 MeV/A for 40Ca, while for 208Pb the error is negligible. It is suggested to approximate the general non-locality or velocity dependence of the Brueckner K-matrix by a quadratic velocity dependence. This should be preferred to a density dependence as it is less drastic, but no more difficult to compute with. © 1969.