Analysis of (d, t) Pick-Up Reactions

Abstract

A comparison is made between ($p, d$) [or ($d, p$)] and ($d, t$) pick-up reactions involving transitions between the same nuclear levels. Eleven cases are studied, having transfer orbital angular momentum $l=0, 1 or 2$, for nuclei from ${\mathrm{Li}}^6$ to ${\mathrm{Mg}}^{25}$ (also ${\mathrm{Sn}}^{117}$), and for incident energies of the order of 15 Mev. It is found that if the differential cross sections of the corresponding ($d, p$) and ($d, t$) reactions are plotted as functions of momentum transfer the curves differ by a factor independent of angle. This property holds primarily in the region of the first peak of the angular distribution. Towards larger angles the curves differ in shape. Because of the proportionality between the curves in the forward direction, it is possible to obtain an expression for extracting the stripping reduced width of ($d, t$) reactions. This reduced width corresponds to the reduced width of the same transition when studied by a ($d, p$) process. No emphasis is placed on the interpretation of the results in terms of the structure of the triton.