(d, p) Reaction on the Titanium Isotopes

Abstract

The ($d, p$) reaction on ${\mathrm{Ti}}^{46}$, ${\mathrm{Ti}}^{47}$, ${\mathrm{Ti}}^{48}$, ${\mathrm{Ti}}^{49}$, and ${\mathrm{Ti}}^{50}$ has been studied at an incident-deuteron energy of 21.4 MeV. Absolute differential cross sections and angular distributions for a number of transitions are reported. A number of previously unreported levels are found in ${\mathrm{Ti}}^{51}$, ${\mathrm{Ti}}^{50}$, ${\mathrm{Ti}}^{49}$, ${\mathrm{Ti}}^{48}$, and ${\mathrm{Ti}}^{47}$ while a few levels reported in the literature (e.g., the 600-keV level in ${\mathrm{Ti}}^{51}$) do not appear to exist. The angular distributions are compared with distorted-wave Born approximation (DWBA) calculations, and the spectroscopic factor is obtained for a number of transitions. The results are compared with those from the ($d, t$) reaction. The present experiment indicates that seniority mixing occurs in the titanium isotopes.