The ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}\mathrm{}(p,d)\mathrm{}{}_{}{}^{207}{}_{}{}^{}\mathrm{Pb}$ reaction to the $3p_{\frac{1}{2}}$, $2f_{\frac{5}{2}}$, and $3p_{\frac{3}{2}}$ single-hole states was studied at energies below the Coulomb barrier. The ${}_{}{}^{48}{}_{}{}^{}\mathrm{Ca}\mathrm{}(d,t)\mathrm{}{}_{}{}^{47}{}_{}{}^{}\mathrm{Ca}$ reaction to the $1f_{\frac{7}{2}}$ single-hole state was studied near the Coulomb barrier. Distorted-wave Born-approximation analyses provided values for the root-mean-square radii of the orbitals of the picked-up neutrons. These values are in agreement with results obtained from other reactions and from nuclear-structure calculations, but disagree with values based on analyses of Coulomb displacement energies.

[NUCLEAR REACTIONS ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}\mathrm{}(p,d)\mathrm{}$, $E=12\mathrm{}$ MeV; measured $\sigma (E_d,\theta )$. ${}_{}{}^{48}{}_{}{}^{}\mathrm{Ca}(d,t_0)$, $E=7.3\mathrm{}$ MeV; measured $\sigma \left(\theta \right)$. Deduced rms radii for picked-up neutrons. Comparisons with Coulomb displacement energies.]

• Received 26 December 1973

DOI:https://doi.org/10.1103/PhysRevC.9.2340