Nuclear reaction modeling of neutron induced reactions on \(^{208}\)Pb

Abstract

Theoretical calculation of neutron induced reactions on \(^{208}\)Pb is undertaken. Neutron reaction modeling for this double-magic target nucleus is challenging. A dispersive optical model combined with the distorted wave Born approximation (DWBA) method, exciton model and Hauser-Feshbach theory width fluctuation corrections are used to calculate neutron induced reactions on \(^{208}\)Pb. Calculation results are shown to be in good agreement with experimental data. This comprehensive calculation allows to derive consistent elastic cross section up to 10 MeV, where both the direct and compound contributions are important. Present calculations will be used as a basis of new evaluation of neutron induced reactions of lead nuclei.