Relativistic correction of (v/c)² to the collective Thomson scattering for high-temperature high-density plasma

Collective Thomson scattering is theoretically investigated with the inclusion of the relativistic correction of (v/c)². The correction is rather small for the plasma parameters inferred from the spectra of the thermal electron plasma waves in the plasma. Since the full formula of the corrected result is rather complicated, a simplified one is derived for practical use, which is shown to be in good agreement with the un-simplified one.