The study meticulously investigates the irradiation phenomenon of the widely prevalent silicon-28 isotopes by low-energy cosmic protons, highlighting the implications of such interactions. In our analysis, we explore conditions characterized by low empirical currents, ensuring low energy consumption while maintaining relatively high monochromaticity in the incident proton beam. A significant focus is placed on the Rutherford scattering probability, which serves as a fundamental aspect in understanding the nuances of nuclear reactions that emerge from these interactions. As we delve deeper into our findings, we examine the decay chains of the resultant radioactive nuclei produced during the irradiation process. This involves identifying individual decay pathways, detailing the formation of corresponding radioactive nuclei, and investigating the annihilation of positrons released during these nuclear reactions. Alongside, we present precise measurements of outgoing currents and energy values, offering a comprehensive overview that contributes to the broader field of cosmic radiation effects on terrestrial isotopes.