Two features of the ($d,p$) stripping reaction to the continuum, the parallelism between the excitation functions of energy-differential stripping cross section $\frac{d^2\sigma }{d\Omega \mathrm{dE}}$ and the total neutron-target elastic scattering cross section ${\sigma }_{\mathrm{tot}}(n,n)$, and the dependence of the ratio $\frac{\left(\frac{d^2\sigma }{d\Omega \mathrm{dE}}\right)}{{\sigma }_{\mathrm{tot}}(n,n)}$ on transferred angular momentum ($l$), are explained satisfactorily by a plane wave Butler approximation for a ${}_{}{}^{32}{}_{}{}^{}\mathrm{S}$ target nucleus. It appears that the $l$ dependence of the above ratio is so dominant that even the crude Butler approximation suffices for identification of $l$ values. The ($d,p$) and ($d,n$) angular distributions are also calculated for the targets ${}_{}{}^{12}{}_{}{}^{}\mathrm{C}$, ${}_{}{}^{14}{}_{}{}^{}\mathrm{C}$, and ${}_{}{}^{16}{}_{}{}^{}\mathrm{O}$, leading to unbound states by this method. The results are compared with experiment and with these obtained by distorted wave Born approximation method employing an extrapolation technique to treat the neutron wave in the continuum.

NUCLEAR REACTIONS Calculated $\frac{\left(\frac{d^2\sigma }{d\Omega \mathrm{dE}}\right)}{{\sigma }_{\mathrm{tot}}(n,n)}$, $\frac{d\sigma \mathrm{}(d,p)\mathrm{}}{d\Omega }$, $\frac{d\sigma \mathrm{}(d,n)\mathrm{}}{d\Omega }$; unbound states; $E_D=6-15\mathrm{}$ MeV.

• Received 11 November 1975

DOI:https://doi.org/10.1103/PhysRevC.13.2099