  We propose a simplified approach to incorporate the long-range proton-proton
(pp) Coulomb force in the three-nucleon (3N) scattering calculations, based on
exact formulation presented in Eur. Phys. Journal A {\bf{41}}, 369 (2009) and
{\bf{41}}, 385 (2009). It permits us to get elastic proton-deuteron (pd)
scattering and breakup observables relatively simply by performing standard
Faddeev calculations as known for the neutron-deuteron (nd) system. The basic
ingredient in that approach is a 3-dimensional screened pp Coulomb t-matrix
obtained by numerical solution of the 3-dimensional Lippmann-Schwinger (LS)
equation. Based on this t-matrix pure Coulomb transition terms contributing to
elastic scattering and breakup are calculated without any need for partial wave
decomposition. For elastic scattering such a term removes the Rutherford
amplitude for point deuteron proton-deuteron (pd) scattering. For breakup it
has never been applied in spite of the fact that its contributions could become
important in some regions of the breakup phase space. We demonstrate
numerically that the pd elastic observables can be determined directly from the
resulting 3N amplitudes without any renormalization, simply by increasing the
screening radius in order to reach the existing screening limit. However,for pd
breakup the renormalization of the contributing on-shell amplitudes is
required. We apply our approach in a wide energy range of the incoming proton
for pd elastic scattering as well as for pd breakup reaction.
