用格林函数方法寻找单粒子共振态
Searching for single-particle resonances with the Green's function method
摘要：
连续介质中的单粒子共振对于奇异核的研究至关重要。在这项研究中，格林函数方法被用来搜索基于相对论平均场模型的单粒子共振。以$^{120}$ Sn为例，我们通过探测格林函数的极值来识别单粒子共振，并直接确定能量和宽度。与我们最近的研究[Chin.，44：084105（2020）]，其已被证明是非常成功的，获得了相同的共振以及非常接近的能量和宽度。通过比较不同坐标空间大小下的格林函数，我们还发现结果对空间大小的依赖性很小。这些发现表明，通过探索格林函数的极值的方法对于识别共振态也是非常可靠和有效的，无论它们是宽的还是窄的。
英文摘要：
Single-particle resonances in the continuum are crucial for studies of exotic nuclei. In this study, the Green's function approach is employed to search for single-particle resonances based on the relativistic-mean-field model. Taking $^{120}$Sn as an example, we identify single-particle resonances and determine the energies and widths directly by probing the extrema of the Green's functions. In contrast to the results found by exploring for the extremum of the density of states proposed in our recent study [Chin. Phys. C, 44:084105 (2020)], which has proven to be very successful, the same resonances as well as very close energies and widths are obtained. By comparing the Green's functions plotted in different coordinate space sizes, we also found that the results very slightly depend on the space size. These findings demonstrate that the approach by exploring for the extremum of the Green's function is also very reliable and effective for identifying resonant states, regardless of whether they are wide or narrow.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
