#### Abstract

Elastic scattering for ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ on ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$ and the single-nucleon transfer reactions ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$(${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{15}{}_{}{}^{}\mathrm{N}$) ${}_{}{}^{209}{}_{}{}^{}\mathrm{Bi}$ and ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$(${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{17}{}_{}{}^{}\mathrm{O}$)${}_{}{}^{207}{}_{}{}^{}\mathrm{Pb}$ have been measured at bombarding energies of 104, 138.5, and 216.6 MeV. A detailed optical model analysis of ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ on ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$ elastic data from 80 to 216.6 MeV has been made. The Woods-Saxon potential parameters must be energy dependent to accurately reproduce the elastic data. Finite-range distorted-wave Born-approximation calculations employing both energy- independent and energy-dependent optical potentials are compared with the transfer data. With the exception of small shifts in angle, the distorted-wave Born approximation correctly predicts the shape of the angular distributions and the evolution of the relative single-particle strengths as functions of the bombarding energy. However, the distorted-wave Born approximation fails (by a factor of 2 to 3) to predict the observed energy dependence of the absolute single-particle transfer strength. It is demonstrated that this failure is not likely to be corrected by changes in the bound-state or optical-model potentials, if Woods-Saxon forms that fit the elastic data are used.

NUCLEAR REACTIONS ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ + ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$ elastic, ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$(${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{15}{}_{}{}^{}\mathrm{N}$)${}_{}{}^{209}{}_{}{}^{}\mathrm{Bi}$, ${}_{}{}^{208}{}_{}{}^{}\mathrm{Pb}$(${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{17}{}_{}{}^{}\mathrm{O}$)${}_{}{}^{207}{}_{}{}^{}\mathrm{Pb}$, ${E}_{L}=104,138.5,216.6$ 138.5, 216.6 MeV, measured $\sigma \left(\theta \right)$; $80<~{E}_{L}<~216.6$ MeV optical-model and distorted-wave Born-approximation analysis, energy dependence of distorted-wave Born approximation.

DOI: http://dx.doi.org/10.1103/PhysRevC.18.180

- Received 3 January 1978
- Published in the issue dated July 1978

© 1978 The American Physical Society