We present a fully self-consistent computational framework composed by
Hartree-Fock plus ran- dom phase approximation where the spin-orbit and Coulomb
terms of the interaction are included in both steps of the calculations. We
study the effects of these terms of the interaction on the random phase
approximation calculations, where they are usually neglected. We carry out our
investigation of excited states in spherical nuclei of oxygen, calcium, nickel,
zirconium, tin and lead isotope chains. We use finite-range effective
nucleon-nucleon interactions of Gogny type. The size of the effects we find is,
usually, of few hundreds of keV. There are not simple approximations which can
be used to simulate these effects since they strongly depend on all the
variables related to the excited states, angular momentum, parity, excitation
energy, isoscalar and isovector characters. Even the Slater approximation
developed to account for the Coulomb exchange terms in Hartree-Fock is not
valid in random phase approximation calculations.Comment: 14 pages, 5 figures; accepted for publication in Phys. Rev.
