Single-particle resonant states with Green’s function method  

作　　者：Cheng Chen Zhipan Li Yuxiao Li Tingting Sun 陈程;李志攀;李玉晓;孙亭亭(School of Physics and Microelectronics,Zhengzhou University,Zhengzhou 450001,China;School of Physical Science and Technology,Southwest University,Chongqing 400715,China)

机构地区：[1]School of Physics and Microelectronics,Zhengzhou University,Zhengzhou 450001,China [2]School of Physical Science and Technology,Southwest University,Chongqing 400715,China

出　　处：《Chinese Physics C》2020年第8期147-154,共8页中国物理C（英文版）

基　　金：Partly supported by the Physics Research and Development Program of Zhengzhou University(32410217);the National Natural Science Foundation of China(11505157,11875225)。

摘　　要：This study employs the relativistic mean field theory with the Green's function method to study the single-particle resonant states.In contrast to 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 highly effective for all kinds of resonant states,no matter whether they are 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 was found to be very stable.Taking ^120Sn as an example,four new broad resonant states 2g7/2,2g9/2,2h11/2,and 1j13/2 were observed,and the accuracy for the width of the very narrow resonant state 1h9/2 was highly improved to 1×10^−8 MeV.Further,our results are very close to those obtained using the complex momentum representation method and the complex scaling method.

关 键 词：single-particle resonant state Green's function method relativistic-mean-field theory 

分 类 号：O572.2[理学—粒子物理与原子核物理]