A study of a ($d, t$) and several ($d, p$) reactions was performed using 28-Mev deuterons. The outgoing particles were analyzed with a scintillation spectrometer. The absolute differential cross section of the following processes was measured: ${\mathrm{Li}}^7(d, t){\mathrm{Li}}^6$, ${\mathrm{Be}}^9(d, p){\mathrm{Be}}^{10}$, ${\mathrm{Be}}^9(d, p){\mathrm{Be}}^{10*}-3.37\mathrm{}$ Mev, ${\mathrm{B}}^{10}(d, p){\mathrm{B}}^{11}$, ${\mathrm{C}}^{12}(d, p){\mathrm{C}}^{13}$, and ${\mathrm{C}}^{12}(d, p){\mathrm{C}}^{13*}-3.68\mathrm{}$ Mev.

The angular distributions were fitted by means of direct-interaction plane-wave theoretical curves. All the reactions reported here take place between states of known spin and parity. The ${\mathrm{Li}}^7(d, t){\mathrm{Li}}^6$ reaction can be fitted with a "pickup" curve corresponding to $l=1\mathrm{}$ and $a=5\mathrm{}$ f, where $l$ is the angular momentum change and $a$ is the interaction radius. With the exception of the reaction ${\mathrm{C}}^{12}(d, p){\mathrm{C}}^{13*}-3.68\mathrm{}$ Mev, the stripping angular distributions exhibit a secondary oscillation that was interpreted as due to a second value of $l$ contributing to the cross section. Therefore the angular distributions of the following processes were fitted by superimposing the theoretical curves of $l=1\mathrm{}$ and $l=3\mathrm{}$: ${\mathrm{Be}}^9(d, p){\mathrm{Be}}^{10}$ with an interaction radius $a=3.5\mathrm{}$ f, ${\mathrm{Be}}^9(d, p){\mathrm{Be}}^{10*}-3.37\mathrm{}$ Mev with $a=3.8\mathrm{}$ f, ${\mathrm{B}}^{10}(d, p){\mathrm{B}}^{11}$ with $a=3.6\mathrm{}$ f, and ${\mathrm{C}}^{12}(d, p){\mathrm{C}}^{13}$ with $a=3.5\mathrm{}$ f. Finally the ${\mathrm{C}}^{12}(d, p){\mathrm{C}}^{13*}-3.68\mathrm{}$ Mev angular distribution was fitted with a theoretical curve of $l=1\mathrm{}$ and $a=3.4\mathrm{}$ f. The stripping reduced widths were calculated for the different $l$ contributions to the experimental cross section. The appearance of the $f$ component in addition to the $p$ component predicted by the shell model in the differential cross sections, tentatively assumed here, could be due to configuration mixing, and the levels connected by the transitions should not be pure shell-model states.

• Received 8 December 1961

DOI:https://doi.org/10.1103/PhysRev.126.1059