The Double Differential Cross Section (DDCS) based on the first-born approximation is computed for the ionization of metastable 3S-state hydrogenic atoms by electron impact at incident energies of 250 eV and 150 eV. A multiple scattering theory is employed in this study. The results are compared with theoretical predictions for the ionization of hydrogen atoms in the 2S and 3d states, as well as with the ground state experimental data. The findings show strong qualitative agreement with those of previously reported results. The present outcomes offer significant potential for further investigation of the ionization process.
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