The Dirac equation in (1+1) dimensions with a non-local PT symmetric potential of separable type is studied by means of the Green function method: properties of bound and scattering states are derived in full detail and numerical results are shown for a potential kernel of Yamaguchi type, inspired by the treatment of low-energy nucleonnucleon interaction. PACS:03.65.CGe, 03.65.Nk, 03.65.Pm, 11....