• Acta Physica Sinica
  • Vol. 68, Issue 9, 092101-1 (2019)
Xiao-Wei Wang and Jian-You Guo*
DOI: 10.7498/aps.68.20182197 Cite this Article
Xiao-Wei Wang, Jian-You Guo. Investigation of n-α scattering by combining complex momentum representation and Green’s function [J]. Acta Physica Sinica, 2019, 68(9): 092101-1 Copy Citation Text show less
Single particle resonance states for orbital of n-α systems calculated by using CMR-GF method under four different integral paths. The red pentagram represents the resonant state, the circle represents the continuum, and the green solid line represents the integral path in the momentum plane.用CMR-GF方法在4种不同积分路径下计算得到的n-α系统的轨道的单粒子共振态, 图中红色五角星代表共振态, 点心圆圈代表非共振连续谱, 绿色实线代表动量平面内的积分路径
Fig. 1. Single particle resonance states for orbital of n-α systems calculated by using CMR-GF method under four different integral paths. The red pentagram represents the resonant state, the circle represents the continuum, and the green solid line represents the integral path in the momentum plane. 用CMR-GF方法在4种不同积分路径下计算得到的n-α系统的 轨道的单粒子共振态, 图中红色五角星代表共振态, 点心圆圈代表非共振连续谱, 绿色实线代表动量平面内的积分路径
Single particle resonance states for orbital of n-α systems. The red sphere represents the resonant state, the circle represents the continuum, and the green solid line represents the integral path in the momentum plane.同图1所示, 计算得到的n-α系统的轨道的单粒子共振态, 图中红色圆球代表共振态, 点心圆圈代表非共振连续谱, 绿色实线代表是动量平面内的积分路径
Fig. 2. Single particle resonance states for orbital of n-α systems. The red sphere represents the resonant state, the circle represents the continuum, and the green solid line represents the integral path in the momentum plane. 同图1所示, 计算得到的n-α系统的 轨道的单粒子共振态, 图中红色圆球代表共振态, 点心圆圈代表非共振连续谱, 绿色实线代表是动量平面内的积分路径
CLD of the state under four different integral paths calculated by CMR-GF method.在四种不同积分路径下, 用CMR-GF方法计算得到的态CLD
Fig. 3. CLD of the state under four different integral paths calculated by CMR-GF method. 在四种不同积分路径下, 用CMR-GF方法计算得到的 态CLD
CLD of the state under four different integral paths calculated by CMR-GF method.在四种不同积分路径下, 用CMR-GF方法计算得到的态CLD
Fig. 4. CLD of the state under four different integral paths calculated by CMR-GF method. 在四种不同积分路径下, 用CMR-GF方法计算得到的 态CLD
The phase shift of n-α scattering system. The orange long dotted line represents the resonant scattering phase shift, the red short dotted line represents the continuum scattering phase shift, the black solid line represents the total scattering phase shift, the purple circle represents the scattering phase shift calculated by R matrix theory, and the green stars represent the experimental data of the total scattering phase shift.n-α散射系统的态的相移(橘色长虚线表示共振态散射相移, 红色短虚线表示连续谱散射相移, 黑色实线表示总散射相移, 紫色圆圈表示由R矩阵理论计算所得散射相移, 绿色五角星表示实验上的相移)
Fig. 5. The phase shift of n-α scattering system. The orange long dotted line represents the resonant scattering phase shift, the red short dotted line represents the continuum scattering phase shift, the black solid line represents the total scattering phase shift, the purple circle represents the scattering phase shift calculated by R matrix theory, and the green stars represent the experimental data of the total scattering phase shift. n-α散射系统的 态的相移(橘色长虚线表示共振态散射相移, 红色短虚线表示连续谱散射相移, 黑色实线表示总散射相移, 紫色圆圈表示由R矩阵理论计算所得散射相移, 绿色五角星表示实验上的相移)
The phase shift of n-α scattering system. The orange long dotted line represents the resonant scattering phase shift, the red short dotted line represents the continuum scattering phase shift, the black solid line represents the total scattering phase shift, the purple circle represents the scattering phase shift calculated by R matrix theory, and the green stars represent the experimental data of the total scattering phase shift.n-α散射系统的态的相移(橘色长虚线表示共振态散射相移, 红色短虚线表示连续谱散射相移, 黑色实线表示总散射相移, 紫色圆圈表示由R矩阵理论计算所得散射相移, 绿色五角星表示实验上的相移)
Fig. 6. The phase shift of n-α scattering system. The orange long dotted line represents the resonant scattering phase shift, the red short dotted line represents the continuum scattering phase shift, the black solid line represents the total scattering phase shift, the purple circle represents the scattering phase shift calculated by R matrix theory, and the green stars represent the experimental data of the total scattering phase shift. n-α散射系统的 态的相移(橘色长虚线表示共振态散射相移, 红色短虚线表示连续谱散射相移, 黑色实线表示总散射相移, 紫色圆圈表示由R矩阵理论计算所得散射相移, 绿色五角星表示实验上的相移)
Resonant cross section, continuum cross section, and total scattering cross section of -wave scattering.波散射的共振态截面、连续谱截面和总散射截面
Fig. 7. Resonant cross section, continuum cross section, and total scattering cross section of -wave scattering. 波散射的共振态截面、连续谱截面和总散射截面
Resonant cross section, continuum cross section, and total scattering cross section of -wave scattering.波散射的共振态截面、连续谱截面和总散射截面
Fig. 8. Resonant cross section, continuum cross section, and total scattering cross section of -wave scattering. 波散射的共振态截面、连续谱截面和总散射截面
Total scattering cross section of the n-α system. The solid points represent the calculated results, and the circles represent the experimental data.系统的总散射截面(实点表示计算结果, 圆圈表示实验数据)
Fig. 9. Total scattering cross section of the n-α system. The solid points represent the calculated results, and the circles represent the experimental data.系统的总散射截面(实点表示计算结果, 圆圈表示实验数据)
$V^{\rm {\rm {c}}}$/MeV $ {\mu}^{\rm {c}} /{{\rm{f}}{{\rm{m}}^{ - 2}}}$$ V_{l}^{\rm {c}}\!$/MeV $ {\mu}_{ {l}}^{\rm {c}} /{{\rm{f}}{{\rm{m}}^{ - 2}}} $
$ -96.3 $$ 0.36 $$ 34.0 $$ 0.20 $
Central$ 77.0 $$ 0.90 $$ -85.0 $$ 0.53 $
$ 51.0 $$ 2.50 $
$V^{\rm{ls}}$/MeV ${\mu}^{ \rm{ls}} /{{\rm{f}}{{\rm{m}}^{ - 2}}}$$V_{ {l}}^{ \rm{ls}}$/MeV ${\mu}_{ {l}}^{\rm{ls}} /{{\rm{f}}{{\rm{m}}^{ - 2}}}$
Spin-orbit$ -16.8 $$ 0.52 $$ -20.0 $$ 0.396 $
$ 20.0 $$ 2.200 $
Table 1. Parameters of the n-α KKNN potential
Xiao-Wei Wang, Jian-You Guo. Investigation of n-α scattering by combining complex momentum representation and Green’s function [J]. Acta Physica Sinica, 2019, 68(9): 092101-1
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