Astrophysical $$\boldsymbol{S}$$-Factor Calculations under the Effects of Gamma-Ray Strength Functions for Some Alpha Capture Reactions

Abstract

The reaction cross section and the energy, at which this value is obtained, are extremely important parameters in the calculation of astrophysical $$S$$ -factor. Astrophysical $$S$$ -factor values can be shown as one of the most notable values not only for nuclear reactions occurring at low energies but also for deeper understanding of astrophysical processes too. Considering the importance of this variable, it has been made possible to calculate it with theoretical methods when it cannot be measured experimentally. Theoretical calculations require the energy and the reaction cross section values. While the reaction cross section value, which can be explained as the probability of occurrence of a reaction, is obtained by theoretical calculations, the result can be affected by many parameters. In this study, it is aimed to investigate the effects of gamma-ray strength functions on the calculations of the astrophysical $$S$$ -factor values of $${}^{96}$$ Ru( $$\alpha$$ , $$\gamma$$ ) $${}^{100}$$ Pd, $${}^{106}$$ Cd( $$\alpha$$ , $$\gamma$$ ) $${}^{110}$$ Sn, $${}^{112}$$ Sn( $$\alpha$$ , $$\gamma$$ ) $${}^{116}$$ Te, $${}^{113}$$ In( $$\alpha$$ , $$\gamma$$ ) $${}^{117}$$ Sb, and $${}^{144}$$ Sm( $$\alpha$$ , $$\gamma$$ ) $${}^{148}$$ Gd reactions by using the cross section values obtained via utilizing different gamma-ray strength functions, which is one of the parameters known to have an effect on the cross section calculations. All calculation results were obtained using a well-known computation code TALYS, and the data obtained were analysed both graphically and statistically against available experimental data from the Experimental Nuclear Reaction Data (EXFOR) Library.