  We present a formalism to solve the Bethe-Goldstone scattering equation
without the use of partial wave expansion which is alternative to the one we
developed in a previous work. The present approach is more suitable for the
calculation of in-medium nucleon-nucleon cross sections, which are the focal
point of this paper. The impact of removing the spherical approximation on the
angle and energy dependence of, particularly, in-medium proton-proton and
proton-neutron differential cross sections is discussed along with its
potential implication.
