AI 中文总结
本研究通过 $(d,p)$ 和 $(d,p\gamma)$ 反应详细测量 $^{50}$Ti 的82个激发态，计算中子单粒子轨道空位求和规则并与三种理论模型比较，揭示偶奇核单粒子强度碎裂差异。
AI 中文摘要
通过 $(d,p)$ 和 $(d,p\gamma)$ 反应，对半幻数核 $^{50}$Ti 的激发态进行了研究，最高达到中子分离能。基于佛罗里达州立大学超恩格劈裂磁谱仪（SE-SPS）测量的角分布，共识别出82个激发态。根据实验数据，计算了与空位相关的求和规则，涉及 $2p_{3/2}$、$2p_{1/2}$、$1f_{5/2}$、$1g_{9/2}$ 和 $2d_{5/2}$ 中子单粒子轨道，并与含时连续谱壳模型（TDCSM）、准粒子声子模型（QPM）以及相对论运动方程理论（REOM$^3$）的预测进行了比较。此外，还展示了 $^{51}$Ti 和 $^{50}$Ti 的 $(d,p)$ 数据对比，重点关注偶 $A$ 核与奇 $A$ 核中单粒子强度碎裂的差异。
英文摘要
Excited states of semi-magic $^{50}$Ti were studied up to the neutron-separation energy via the $(d,p)$ and $(d,pγ)$ reactions. In total, 82 excited states were identified based on the measurement of angular distributions with the Super-Enge Split-Pole Spectrograph (SE-SPS) at Florida State University. From the experimental data, sum rules related to vacancies were calculated for the $2p_{3/2}$, $2p_{1/2}$, $1f_{5/2}$, $1g_{9/2}$, and $2d_{5/2}$ neutron single-particle orbitals and compared to predictions obtained with the time-dependent continuum shell model (TDCSM), the quasiparticle-phonon model (QPM), and the relativistic equation of motion theory (REOM$^3$). A comparison for the $(d,p)$ data obtained for $^{51}$Ti and $^{50}$Ti is also presented, focusing on differences of the single-particle strength fragmentation in even-$A$ and odd-$A$ nuclei.
Comments25 pages, 14 figures, accepted for publication as regular article in Physical Review C
