Determination of the Astrophysical S-factor and Thermonuclear Reaction Rates of the (α,n) Medium Elements Reactions

Abstract

respectively. Polynomial relationships have been utilized to fit the computed astrophysical S-factor and thermonuclear reaction rates to determine the astrophysical S-factor at various Ec.m. and thermonuclear reaction rates at various T9 from best fitting equations with the minimum Chi-Square. Empirical formulae of set of reactions 45Sc(α,n)48V , 48Ti(α,n)51Cr , 51V(α,n)54Mn , 55Mn(α,n)58Co , 59Co(α,n)62Cu , and 45Sc(α,n)48V , 48Ti(α,n)51Cr , 51V(α,n)54Mn , 55Mn(α,n)58Co , 62Ni(α,n)65Zn , 66Zn(α,n)69Ge have been utilized to compute astrophysical S-factor as a function of Ec.m. and Z and thermonuclear reaction rates as a function of T9 and the target nucleus atomic number Z. The results have been compared with the embraced astrophysical S-factor and thermonuclear reaction rates that have been calculated from the fitting equations which have a good agreement.

Keywords

• cross sections; astrophysical s-factor; thermonuclear reaction rates; gamow factor;