论文标题
具有Green功能方法的单粒子共振状态的研究
Study of single-particle resonant states with Green's function method
论文作者
论文摘要
采用绿色功能方法的相对论平均场理论用于研究单粒子谐振状态。与我们以前的工作不同[Phys.Rev.C 90,054321（2014）]，通过搜索绿色的功能或状态密度的极端来确定共振状态。这种新方法对于各种共鸣状态都非常有效，无论它是广泛的还是狭窄的。已经检查了谐振能，宽度和坐标空间中的密度分布的依赖性，并且发现它非常稳定。以$^{120} $ sn为例，四个新的广泛共振状态$ 2G_ {7/2} $，$ 2G_ {9/2} $，$ 2H_ {11/2} $和$ 1J_ {13/2} $，也观察到了非常狭窄的$ 1H_ $ 1H_________________________________________2 10^{ - 8} $ MEV。此外，我们的结果非常接近复杂动量表示方法和复杂缩放方法。
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.
