利用光前量子化方法计算电子的广义横向动量分布函数

强子和轻子是目前实验所能观测到的最小微观结构,但根据量子色动力学（QCD）,强子内还存在着部分子结构。在理论计算中,从Wigner函数出发可以得到多种分布函数,如横向动量分布函数（TMD）、广义部分子分布函数（GPD）以及广义横向动量分布函数（GTMD）。其中GTMD包含粒子内部部分子的三维动量和位置信息,从GTMD出发通过对横向动量积分和取横向转移动量为零分别得到GPD和TMD。本工作通过引入电子的光前波函数计算出物理电子的GTMD,并以此为出发点得到物理电子的TMD和GPD。一方面通过与微扰论的TMD和GPD的结果对比可以证明我们的计算结果是合理的,同时讨论了GPD中P波和S波的贡献。另一方面给出物理电子的内部部分子分布随横向转移动量、部分子横向动量以及纵向动量分数的变化关系。In anlogous to hadron, electron has similar structure because of dressing. So we can define the Transverse Momentum Distribution functions (TMD), the General Parton Distribution functions (GPD) and General Transverse Momentum Distribution functions (GTMD) of electron which come from the Wigner distribution function. The GTMD contain the information of momentum and position of parton in one particle, and the GPD or TMD can be calculated by integration of transverse momentum or setting the transverse transfer momentum which equal to zero. We introduce the light-front wave function of electron to calculate the GTMD of dressed electron, and then get the TMD and GPD. Our results are verified by comparing to calculations in literature and the contribution of GPD of P-wave and S-wave. And we show that the distribution functions at different transverse momentum transfer, transverse momentum of parton and the fraction of longitudinal momentum.     

类氦离子的KLL双电子复合过程的相对论理论研究

在相对论多组态Dirac-Fock理论基础上，发展了计算双电子复合截面的程序.并以类锂C³⁺，Ar¹⁵⁺，Kr³³⁺和U⁸⁹⁺等离子为例，详细计算了共振双激发态1s2l2l′的辐射衰变率、Auger衰变率及相应的双电子复合截面.对于C⁴⁺，Ar^l6+和Kr³⁴⁺离子的结果与已有的计算和实验结果都能很好地符合；对于U⁹⁰⁺离子，则重点 关键词： 双电子复合 截面 MCDF     

KLL dielectronic recombination process of He-like to O-like xenon ions

In this work,the KLL dielectronic recombination (DR) processes of highly charged He-like to O-like xenon ions are studied systematically by using a DR program,which is based on the multi-configuration Dirac-Fock (MCDF) method.The KLL DR resonant energies and the corresponding resonant strengths are calculated,emphasizing especially the effect of the Breit interaction on the DR strengths.The theoretical KLL DR spectra are obtained and compared with the latest experimental results obtained in the Shanghai Electron Beam Ion Trap.     

Influence of Debye Plasma on the KLL Dielectronic Recombination of H-Like Helium Ions

Using the Debye shielding model, the effects of plasma shielding on the dielectronic recombination processes of the H-like helium ions are investigated.It is found that plasma shielding causes a remarkable change in the Auger decay rate of the doubly excited 2p~2 ~3P_2 state.As a result,the dielectronic recombination cross sections from the doubly excited 2p~2 ~3p_2 state increases with the decreasing Debye shielding length.     

类锂离子双电子复合过程中辐射光子角分布和极化特性的理论研究

基于多组态Dirac-Fock 方法和密度矩阵理论,本文详细计算了高电荷态类锂离子（26 ≤ Z ≤ 92）KLL 双电子复合过程中,自由电子被共振俘获到中间双激发态1s2s²2p_3/2J = 1 的磁子能级截面以及该双激发态的取向参数,进而得到了此激发态向基态电偶极辐射跃迁1s2s²2p_3/2J = 1→1s²2s²J = 0 所发出光子的角分布和极化度,重点讨论了Breit 相互作用对相关物理量的影响. 研究表明,Breit 相互作用极大地改变了中间双激发态1s2s²2p_3/2J = 1 不同磁子能级的截面,从而导致了随后退激发放出光子的角分布和极化特性的显著变化. 关键词： 角分布和极化特性 多组态Dirac-Fock方法 密度矩阵理论     

高n双电子复合伴线对类氦镁离子 Kα共振线贡献的理论计算

利用多组态Dirac-Fock方法计算了类氦镁离子的双电子复合截面.分析了类氦镁离子的高n双电子伴线结构及其对类氦镁离子Kα共振线的影响.结果表明类氦镁离子的高n双电子伴线几乎都分布于Kα共振线的长波一侧.随着n的增加,DS强度呈现明显减小的趋势.虽然来自KLM(n=3)的发射线最强,但n>3的部分依然给出了非常重要的贡献.即便是来自n>10的共振的贡献也是不可忽略的.并且高n双电子伴线随着n的增加不断接近Kα共振线,导致和Kα共振线的强烈混合.在实验测量中会使Kα共振线峰位的测量值向长波方向移动,使谱形加宽,并且增强了Kα共振线测量值强度.     

高n双电子复合伴线对类氦镁离子Kα共振线贡献的理论计算

利用多组态Dirac-Fock方法计算了类氦镁离子的双电子复合截面.分析了类锂镁离子高n双电子伴线结构及其对类氦镁离子Kα共振线的影响.结果表明类锂镁离子高n双电子伴线和类氦镁离子Kα共振线之间存在着严重的混合,会导致Kα共振线强度的增加、谱形的加宽以及位置的移动.     

KLL dielectronic recombination process of He-like to O-like xenon ions

In this work, the KLL dielectronic recombination (DR) processes of highly charged He-like to O-like xenon ions are studied systematically by using a DR program, which is based on the multi-configuration Dirac-Fock (MCDF) method. The KLL DR resonant energies and the corresponding resonant strengths are calculated, asizing especially the effect of the Breit interaction on the DR strengths. The theoretical KLL DR spectra are obtained and compared with the latest experimental results obtained in the Shanghai Electron Beam Ion Trap.     

氖原子光电子角分布的理论计算

本文利用密度矩阵理论和Racah代数推导出了光电子角分布的一般计算公式, 并在多组态Dirac-Fock方法基础上发展了计算原子光电离过程中产生的光电子角分布的相对论程序, 利用该程序对氖原子2s和2p光电子角分布的偶极和非偶极参数进行了具体计算, 所得结果与已有文献具有很好的一致性. 在此基础上, 本文讨论了光子与电子相互作用多级展开中的非偶极项以及入射光的极化性质对光电子角分布的影响.     

Debye-screening effect on electron-impact excitation of helium-like Al11+ and Fe24+ ions

Debye-screening effects on the electron-impact excitation (EIE) processes for the dipole-allowed transition 1s$^{2}$ $^{1}{\rm S} \to 1$s2p $^{1}$P in He-like Al$^{11+}$ and Fe$^{24+}$ ions are investigated using the fully relativistic distorted-wave methods with the-Hückel (DH) model potential. Debye-screening effects on the continuum-bound (CB) interaction and target ion are discussed, both of which result in reduction of EIE cross sections. This reduction due to screening on the CB interaction is dominant. The non-spherical and spherical DH potentials are adopted for considering the screening effect on the CB interaction. It is found that the spherical DH potential could significantly overestimate the influence of plasma screening on EIE cross sections for multielectron He-like ions.