Systematic study of deuteron induced reaction cross sections on ²⁴Mg and ²⁷Al nuclei up to 50 MeV

This study systematically investigates deuteron induced reaction cross sections on ²⁴Mg and ²⁷Al nuclei up to 50 MeV. The calculations were performed using nuclear codes EMPIRE-3.2.3 and TALYS-1.95 with different nuclear level density models to evaluate excitation functions for (d,a), (d,p), (d,2p), and (d,x) reactions. The theoretical results were compared with experimental data from the IAEA-EXFOR database and the TENDL library. To determine the most suitable level density model for each reaction, three statistical deviation factors (F, D, and R) were evaluated. The analysis indicates that the choice of nuclear level density model significantly influences the predicted cross sections, and no single model consistently provides the best agreement across all reaction channels. For ²⁴Mg, the phenomenological Constant Temperature and Back Shifted Fermi Gas models exhibited the closest agreement with the experimental data, whereas for ²⁷Al, the microscopic Skyrme force-Goriely and Gogny force models provided better consistency. The calculated excitation functions show that the (d,p) and (d,α) reactions reach their maximum cross sections at deuteron energies around 5-9 MeV, while the (d,2p) and (d,x) channels peak in the 20-25 MeV range.