Investigation of charged-particle induced reactions on ${}^{27}$Al up to 100 MeV leading to the formation of ${}^{22}$Na and ${}^{24}$Na

Studies using theoretical models are of great importance for understanding of reaction process and its nature. In this study, nuclear level density model calculations of the cross sections of ${}^{27}$Al are investigated by using TALYS 1.96 computer code. The cross section calculations of ${}^{27}$Al(α,x)${}^{22}$Na, ${}^{27}$Al(α,x)${}^{24}$Na, ${}^{27}$Al(${}^3$He,x)${}^{22}$Na, ${}^{27}$Al(${}^3$He,x)${}^{24}$Na, ${}^{27}$Al(p,x)${}^{22}$Na and ${}^{27}$Al(p,x)${}^{24}$Na reactions were carried out for incident particle energy up to 100 MeV. In these calculations, four nuclear level density models, namely constant temperature model (CTM), back-shifted Fermi gas model (BSFGM), generalized superfluid model (GSM) and recently proposed semi-classical Fermi gas model (CSCFGM) are used. This model is developed using the simplest model BSFGM. The most obvious difference between CSCFGM and other models is the inclusion of the collective effects in the base of the formulation. The predicted results are discussed and compared with each other and the available experimental data taken from EXFOR library. In order to better evaluate the model results, chi-squared values are calculated and compared with each other for all analyzed reactions. According to the chi-squared results, CSCFGM gives closer predictions to the experimental data compared with the other models in 4 of the 6 analyzed reactions. Therefore, in this study, it is presented that this model can be reliably used in the reaction cross section calculations.