Structure ofPb208Determined by the (d, p) Reaction

Abstract

The structure of the doubly magic nucleus ${\mathrm{Pb}}^{208}$ has been investigated using the reaction ${\mathrm{Pb}}^{207}(d, p){\mathrm{Pb}}^{208}$ with a deuteron bombarding energy of 21.6 MeV. Proton angular distributions in the interval 10\ifmmode^\circ\else\textdegree\fi{} to 80\ifmmode^\circ\else\textdegree\fi{} have been measured for more than twenty levels up to 6 MeV excitation in ${\mathrm{Pb}}^{208}$. The experimental results have been analyzed to extract the factors $(2J+1){S}_{\mathrm{lj}}$, an important link between experiment and theory. An interesting feature of the data analysis is the use of ${\mathrm{Pb}}^{208}(d, p){\mathrm{Pb}}^{209}$ angular distributions to obtain the necessary reduced cross sections rather than obtaining them from a distorted-wave Born analysis calculation as is usually the case.