  The Coulomb interaction between the two protons is included in the
calculation of proton-deuteron elastic scattering, radiative proton-deuteron
capture and two-body electromagnetic disintegration of ${}^3\mathrm{He}$. The
hadron dynamics is based on the purely nucleonic charge-dependent (CD) Bonn
potential and its realistic extension CD Bonn + $\Delta$ to a coupled-channel
two-baryon potential, allowing for single virtual $\Delta$-isobar excitation.
Calculations are done using integral equations in momentum space. The screening
and renormalization approach is employed for including the Coulomb interaction.
Convergence of the procedure is found already at moderate screening radii. The
reliability of the method is demonstrated. The Coulomb effect on observables is
seen at low energies for the whole kinematic regime. In proton-deuteron elastic
scattering at higher energies the Coulomb effect is confined to forward
scattering angles; the $\Delta$-isobar effect found previously remains
unchanged by Coulomb. In electromagnetic reactions Coulomb competes with other
effects in a complicated way.
