用格林函数方法研究单粒子共振态
Study of single-particle resonant states with Green's function method
摘要：
采用相对论平均场论和格林函数方法研究了单粒子共振态。与我们以前的工作[Phys.Rev.C90，054321（2014）]不同，通过寻找格林函数的极点或态密度的极值来识别共振态。这种新方法对所有的共振态都是有效的，无论是宽共振态还是窄共振态。的共振能量，宽度和坐标空间中的密度分布的空间大小的依赖性已被检查，它被发现是非常稳定的。以$^{120}$ Sn为例，观测到了四个新的宽共振态$2g_{7/2}$、$2g_{9/2}$、$2h_{11/2}$和$1j_{13/2}$，并将极窄共振态$1h_{9/2}$的宽度精度提高到$1\times 10^{-8}$ MeV.此外，我们的结果与复动量表象方法和复标度方法的结果非常接近。
英文摘要：
The relativistic mean field theory with the Green's function method is taken to study the single-particle resonant states. Different from our previous work [Phys.Rev.C 90,054321(2014)], the resonant states are identified by searching for the poles of Green's function or the extremes of the density of states. This new approach is very effective for all kinds of resonant states, no matter it is broad or narrow. The dependence on the space size for the resonant energies, widths, and the density distributions in the coordinate space has been checked and it is found very stable. Taking $^{120}$Sn as an example, four new broad resonant states $2g_{7/2}$, $2g_{9/2}$, $2h_{11/2}$ and $1j_{13/2}$ are observed, and also the accuracy for the width of the very narrow resonant state $1h_{9/2}$ is highly improved to be $1\times 10^{-8}$ MeV. Besides, our results are very close to those by the complex momentum representation method and the complex scaling method.
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