Calculation of Astrophysical S-factor and Thermonuclear Reaction Rates for (p,n) Medium Elements Reactions

Abstract

Abstract The cross-sections of (p,n) medium elements reactions as a function of proton energies such as 45Sc(p,n)45Ti, 48Ti(p,n)48V, 51V(p,n)51Cr, 52Cr(p,n)52Mn, 55Mn(p,n)55Fe, 56Fe(p,n)56Co, 59Co(p,n)59Ni, 62Ni(p,n)62Cu, 63Cu(p,n)63Zn, and 66Zn(p,n)66Ga have been interpolated near threshold up to 10 MeV in step of 0.05 MeV using MATLAB program. Weighted averages of cross-sections have been used to calculate the astrophysical S-factor and thermonuclear reaction rates as a function of the center of mass energy, Ec.m. and T9 respectively. Polynomial expressions have been used to fit the calculated 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 minimum Chi-Square. Empirical formulae of reactions set 45Sc(p,n)45Ti, 48Ti(p,n)48V, 55Mn(p,n)55Fe, 59Co(p,n)59Ni, 66Zn(p,n)66Ga and reactions set 48Ti(p,n)48V, 51V(p,n)51Cr, 59Co(p,n)59Ni, 63Cu(p,n)63Zn, 66Zn(p,n)66Ga have been used to calculate the astrophysical S-factor as a function of Ec.m. and Z and thermonuclear reaction rates as a function of T9 and Z of target nucleus. The results have been compared with the adopted data that have been calculated from the fitting equations which have a good agreement.