A measurement of the ${}^{50}\mathrm{Ti}(d,p){}^{51}\mathrm{Ti}$ reaction at 16 MeV was performed using the 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 $L$ 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 ${}^{51}\mathrm{Ti}$ confirm the existence of the $N=32$ gap in Ti. These single neutron energies and those from previous measurements in ${}^{49}\mathrm{Ca}$, ${}^{53}\mathrm{Cr}$, and ${}^{55}\mathrm{Fe}$ are compared to values from a covariant density functional theory calculation.

中文翻译：

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Ti50(d,p)Ti51：N=29isotones 和 N=32subshel​​l 闭合中的单中子能量

的测量 ${}^{50}钛(d,磷){}^{51}钛$ 使用 Super Enge Split-Pole Spectrograph 在 16 MeV 下进行反应以测量 $N=32$Ti中的子壳间隙。观察到了以前没有观察到的七个状态$(d,磷)$ 测量值，以及 $升$六个先前测量的状态的传递值被更改或首次测量。结果用于确定单个中子能量${磷}_{3/2}$, ${磷}_{1/2}$， 和 $F_{5/2}$轨道。由此产生的单个中子能量${}^{51}钛$ 确认存在 $N=32$Ti 的间隙。这些单一的中子能量和之前测量的那些${}^{49}钙$, ${}^{53}铬$， 和 ${}^{55}铁$ 与来自协变密度泛函理论计算的值进行比较。