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Abstract

A simple semiclassical model is described for the computation of $d\ensuremath{-}p$ and $d\ensuremath{-}n$ cross sections. It is found that the stripping process is responsible for practically the entire observed $d\ensuremath{-}p$ cross section at any bombarding energy ${E}_{d}$. The few available quantitative $d\ensuremath{-}p$ measurements---for ${\mathrm{Na}}^{23}$, ${\mathrm{Co}}^{63}$, ${\mathrm{Br}}^{81}$, and ${\mathrm{Bi}}^{209}$---agree with curves calculated by assuming that only the stripping process is effective. As ${E}_{d}$ increases above the barrier height of the target nucleus, the measured $d\ensuremath{-}p$ cross sections diminish; this is interpreted as due to effective $d\ensuremath{-}n$ competition, in which the excited nucleus re-emits a neutron after acquiring one in the $d\ensuremath{-}p$ stripping process. It is expected that the $d\ensuremath{-}n$ excitation curves are also predominantly due to the stripping process for incident energies ${E}_{d}\ensuremath{\lesssim}10$ Mev.To compare observed magnitudes with the calculated values, it is necessary to specify as a nuclear parameter the average "sticking probability" $\ensuremath{\xi}$ of an elementary particle. Comparison of the $d\ensuremath{-}p$ and $d\ensuremath{-}n$ stripping processes indicates that for a given target the ratio $\frac{{\ensuremath{\sigma}}_{\mathrm{dp}}}{{\ensuremath{\sigma}}_{\mathrm{dn}}}$ will exceed unity at all energies ${E}_{d}$ comparable with the Coulomb barrier and may approach the limit $\frac{{\ensuremath{\sigma}}_{\mathrm{dp}}}{{\ensuremath{\sigma}}_{\mathrm{dn}}}\ensuremath{\rightarrow}\frac{{\ensuremath{\xi}}_{n}}{{\ensuremath{\xi}}_{p}}\ensuremath{\approx}1$ as ${E}_{d}\ensuremath{\rightarrow}\ensuremath{\infty}$.

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