Elastic electron deuteron scattering with consistent meson exchange and relativistic contributions of leading order

The influence of relativistic contributions to elastic electron deuteron scattering is studied systematically at low and intermediate momentum transfers ${(Q}^2<~30{\mathrm{fm}}^{-2}).\mathrm{}$ In a $\mathrm{}(p/M)\mathrm{}$ expansion, all leading-order relativistic $\pi$-exchange contributions consistent with the Bonn OBEPQ models are included. In addition, static heavy meson exchange currents including boost terms and lowest order $\rho \pi \gamma$ currents are considered. Sizable effects from the various relativistic two-body contributions, mainly from $\pi$ exchange, have been found in form factors, structure functions, and the tensor polarization $T_{20}.$ Furthermore, static properties, viz. magnetic dipole and charge quadrupole moments and the mean square charge radius are evaluated.