We carry out a thorough investigation of proton-capture reactions on \(^{55}\textrm{Co}\) , \(^{56}\textrm{Ni}\) , and \(^{57}\textrm{Cu}\) using the TALYS v2.0 nuclear reaction code, focusing on the model dependencies arising from variations in nuclear level densities (NLD) and gamma-ray strength functions (GSF). We compare the computed cross sections and reaction rates against evaluated libraries such as ENDF, NON-SMOKER, TENDL, and REACLIB to assess the reliability of different model configurations. The results indicate that cross sections are predominantly influenced by low-energy resonances and gamma decay probabilities, while thermally averaged reaction rates are increasingly affected by higher-energy states at elevated temperatures. The discrepancies between the TALYS predictions and the database values underscore the sensitivities to model assumptions and inputs related to nuclear structure, providing insights into the limitations of current evaluations. From an astrophysical standpoint, the enhanced reaction rates under conditions prevalent in X-ray bursts and supernovae imply efficient proton capture, which influences rp-process pathways and nucleosynthesis. This research highlights the critical importance of careful selection of NLD and GSF in TALYS calculations and enhances our understanding of the reliability and limitations of commonly used reaction libraries, thereby addressing significant uncertainties in the modeling of nuclear astrophysics.
