Angular distributions for the reactions ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$(${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$)${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$(${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^9{}_{}{}^{}\mathrm{Be}$)${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$(${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$)${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$(${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$)${}_{}{}^{17}{}_{}{}^{}\mathrm{O}_{}^{*}{}_{}{}^{}$ (0.871 MeV), ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$(${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$)${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$, ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$(${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$)${}_{}{}^{29}{}_{}{}^{}\mathrm{Si}$; ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$(${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$)${}_{}{}^{29}{}_{}{}^{}\mathrm{Si}_{}^{*}{}_{}{}^{}$ (1.27 MeV), ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$(${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{14}{}_{}{}^{}\mathrm{N}$)${}_{}{}^{27}{}_{}{}^{}\mathrm{Al}$, ${}_{}{}^{32}{}_{}{}^{}\mathrm{S}$(${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$)${}_{}{}^{32}{}_{}{}^{}\mathrm{S}$, ${}_{}{}^{32}{}_{}{}^{}\mathrm{S}$(${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$)${}_{}{}^{33}{}_{}{}^{}\mathrm{S}$, ${}_{}{}^{32}{}_{}{}^{}\mathrm{S}$(${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$)${}_{}{}^{33}{}_{}{}^{}\mathrm{S}_{}^{*}{}_{}{}^{}$ (0.841 MeV), and ${}_{}{}^{32}{}_{}{}^{}\mathrm{S}$(${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{14}{}_{}{}^{}\mathrm{N}$)${}_{}{}^{31}{}_{}{}^{}\mathrm{P}$ have been measured in fine steps between ${\theta }_{\mathrm{lab}}=4\mathrm{}°$ and ${\theta }_{\mathrm{lab}}=40\mathrm{}°$ at the bombarding energy of 36 MeV. Elastic scattering data are fitted by opticalmodel calculations and the parameters of the potential are determined. The neutron-transfer and protonpickup reaction cross sections are compared with the predictions of the exact finite-range distorted-wave Born-approximation. The calculated angular distributions reproduce the gross features of the data but not the details. The quantitative agreement of the determined spectroscopic factors with the spectroscopic factors found from light-ion reactions varies from excellent to poor. The $\alpha$-transfer reaction ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$(${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^9{}_{}{}^{}\mathrm{Be}$)${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ has been analyzed using cluster-model form factors. The agreement between theory and experiment is poor. The measured angular distribution is, however, well described by ${\left|P_{10}\right(cos\theta \left)\right|}^2$.

NUCLEAR REACTIONS Elastic scattering, neutron stripping, and proton pickup induced by 36 MeV ${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$ on ${}_{}{}^{32}{}_{}{}^{}\mathrm{S}$, ${}_{}{}^{28}{}_{}{}^{}\mathrm{Si}$, ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, and ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$, and ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$(${}_{}{}^{13}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^9{}_{}{}^{}\mathrm{Be}$)${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$ measured at ${\theta }_{\mathrm{lab}}=4\mathrm{}°-40\mathrm{}°$, $\Delta {\theta }_{\mathrm{lab}}=1\mathrm{}°$. Optical-model parameters, exact finite-range DWBA, spectroscopic factors.

• Received 2 October 1975

DOI:https://doi.org/10.1103/PhysRevC.14.610