ReactionV51(n, d)Ti50at 14.4 MeV

Abstract

Measurements have been made of the differential cross sections for the ${\mathrm{V}}^{51}(n, d)$ reaction at 14.4 MeV, exciting the ${0}^{+}$, ${2}^{+}$, ${4}^{+}$, and ${6}^{+}$ states in ${\mathrm{Ti}}^{50}$. A distorted-wave Born approximation (DWBA) analysis of the results shows them to be consistent with the predictions of the simple shell model, that is, pure ${({f}_{\frac{7}{2}})}^{3}$ configuration for ${\mathrm{V}}^{51}$ ground state, with seniority a good quantum number, within the uncertainties of both the experiment and the analysis. In particular, the data are consistent with pure $l=3$ transitions, although small amounts of $l=1$ pickup to the ${2}^{+}$ and ${4}^{+}$ states cannot be excluded. The uncertainties in the DWBA analysis, and their effects on quantitative determination of the spectroscopic factors, are fully discussed.