A measurement of the $^{ 50}$Ti($d$,$p$)$^{ 51}$Ti reaction at 16 MeV was performed using a Super Enge Split Pole Spectrograph to measure the magnitude of the $N=32$ subshell gap in Ti. Seven states were observed that had not been observed in previous ($d$,$p$) measurements, and the \textit{ L} transfer values for six previously measured states were either changed or measured for the first time. The results were used to determine single neutron energies for the $p_{ 3/2}$, $p_{ 1/2}$ and $f_{ 5/2}$ orbitals. The resulting single neutron energies in $^{ 51}$Ti confirm the existence of the $N=32$ gap in Ti. These single neutron energies and those from previous measurements in $^{ 49}$Ca, $^{ 53}$Cr and $^{ 55}$Fe are compared to values from a covariant density functional theory calculation.
Categories: nucl-ex nucl-th