论文标题
高$ j $轨道，配对和变形的中子壳对中子富含中子均匀的同位素$^{170-184} $ hf的地面频段的上涨的影响
Effects of high-$j$ orbitals, pairing and deformed neutron shells on upbendings of ground-state bands in neutron-rich even-even isotopes $^{170-184}$Hf
论文作者
论文摘要
通过使用曲柄壳模型（CSM）和由粒子粒子保存（PNC）方法处理的配对相关性，研究了均匀的同位素$^{170-184} $ hf中的地面带（GSB）。通过理论计算，可以很好地再现惯性的实验运动学力矩。 GSB在高频$ \hbarΩ\ of $^{172} $ hf（$^{$^{170,174-178} $ hf）属性中的第二次上涨$ \hbarΩ $（1/2^{+} [660]）$，$ \ pi1h_ {9/2} $ $（1/2^{ - } [541]）$和轨道$ \ pi1h_ {11/2} $（7/2^{ - } { - } [523] [523]）$。 $^{170-178} $ hf的GSB的首次上涨$ \hbarΩ= 0.2-0.3 $ MEV，其位于变形的中子壳$ n = 108 $下方，归因于中子轨道$ \ nu1i__ {13/2} $。对于较重的同位素$^{180-184} $ HF，与较轻的同位素相比，由于存在变形的壳$ n = 108,116 $，因此第一个频段划线延迟到高频。 $^{180-184} $ hf的gsbs的上涨预计会发生在$ \hbarΩ\ of0.5 $ meV，这来自两个质子$ \ pi1i_ {13/2} $ {13/2} $，$ \ pi1H_ $ \ pi1H_ $ {9/neut $ {9/9/9/nuc的同时比对的急剧提高轨道。配对相关性在GSB的旋转属性中起着非常重要的作用，即均匀的同位素$^{180-184} $ HF。研究了它对上升频率和带状频率的影响。
The ground-state bands (GSBs) in the even-even hafnium isotopes $^{170-184}$Hf are investigated by using the cranked shell model (CSM) with pairing correlations treated by the particle-number conserving (PNC) method. The experimental kinematic moments of inertia are reproduced very well by theoretical calculations. The second upbending of the GSB at high frequency $\hbarω\approx0.5$ MeV observed (predicted) in $^{172}$Hf ($^{170,174-178}$Hf) attributes to the sudden alignments of the proton high-$j$ orbitals $\pi1i_{13/2}$ $(1/2^{+}[660])$, $\pi1h_{9/2}$ $(1/2^{-}[541])$ and orbital $\pi1h_{11/2}$ $(7/2^{-}[523])$. The first upbendings of GSBs at low frequency $\hbarω=0.2-0.3$ MeV in $^{170-178}$Hf, which locate below the deformed neutron shell $N=108$, attribute to the alignment of the neutron orbital $\nu1i_{13/2}$. For the heavier even-even isotopes $^{180-184}$Hf, compared to the lighter isotopes, the first band-crossing is delayed to the high frequency due to the existence of the deformed shells $N=108,116$. The upbendings of GSBs in $^{180-184}$Hf are predicted to occur at $\hbarω\approx0.5$MeV, which come from the sharp raise of the simultaneous alignments of both proton $\pi1i_{13/2}$, $\pi1h_{9/2}$ and neutron $\nu2g_{9/2}$ orbitals. The pairing correlation plays a very important role in the rotational properties of GSBs in even-even isotopes $^{180-184}$Hf. Its effects on upbendings and band-crossing frequencies are investigated.
