The distorted-wave Born approximation is used in the case of the stripping reaction ${}_{}{}^{32}{}_{}{}^{}\mathrm{S}(d, p){}_{}{}^{33}{}_{}{}^{}\mathrm{S}_{}^{*}{}_{}{}^{}$ leading to decaying states in order to explain the strong dependence of the ratio of the energy differential ($d, p$) stripping cross section to the total neutron elastic scattering cross section on the same target, on transferred angular momentum ($l$) The necessity of using a distorted-waves approximation instead of a plane-waves approximation, which is much simpler to calculate and which also shows " $l$ dependence," is discussed in the context of identification of levels. The slowly converging overlap integral appearing in the distorted-wave Born approximation is treated by employing a Gaussian convergence factor. It is also found that in the plane-wave calculation, the inclusion of the unscattered part in the neutron form factor affects only the $l=0\mathrm{}$ resonances. The desirability of including the effect of the nuclear interior is discussed. The angular distribution for the reaction ${}_{}{}^6{}_{}{}^{}\mathrm{O}(d, p){}_{}{}^{17}{}_{}{}^{}\mathrm{O}_{}^{*}{}_{}{}^{}$ has been obtained employing the distorted-wave Born approximation method. The spectroscopic factor for this reaction is obtained and compared with that reported previously.

NUCLEAR REACTIONS ${}_{}{}^{32}{}_{}{}^{}\mathrm{S}(d, p)$, ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}(d, p)$ reactions, unbound states, calculated $\frac{\left[d^2\sigma \right(d, p\left)\right]}{d\Omega \mathrm{dE}}$, $\frac{\left[d\sigma \right(d, p\left)\right]}{d\Omega }$, $E_D=12-13.3\mathrm{}$ MeV, DWBA analysis.

• Received 1 June 1976

DOI:https://doi.org/10.1103/PhysRevC.15.1238