Based on the exact relativistic multipole calculations using pure Coulomb and Debye-Hückel potentials, discussions of bremsstrahlung cross sections and corresponding emitted photon angular distributions from fully stripped tungsten (${\mathrm{W}}^{74+}$) are given for electron scattering at energies of 10–150 keV. Nonrelativistic dipole calculations are also presented, showing that for the above energy region, the nonrelativistic results are completely invalid and the relativistic and multipole effects must be taken into account. The reduction of bremsstrahlung cross sections due to screening of the nuclear charge is studied using the relativistic multipole method at different values of the screening length and photon energy. With an increase of electron scattering energy, the effect of the screening potential on both the dynamics of fast free electrons and the cross sections is reduced. The peak of the angular distribution of bremsstrahlung would shift towards smaller emission angles when the screening strength is reduced.

中文翻译：

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完全剥离的钨 (W74+) 在 Debye-Hückel 势中的轫致辐射

基于使用纯 Coulomb 和 Debye-Hückel 势的精确相对论多极计算，讨论了韧致辐射截面和完全剥离的钨的相应发射光子角分布（${\mathrm{宽}}^{74+}$) 给出了能量为 10-150 keV 的电子散射。还给出了非相对论偶极子计算，表明对于上述能量区域，非相对论结果完全无效，必须考虑相对论和多极效应。使用相对论多极方法在不同的屏蔽长度和光子能量值下研究了由于核电荷屏蔽引起的轫致辐射截面的减小。随着电子散射能量的增加，屏蔽电位对快自由电子动力学和截面的影响减小。当屏蔽强度降低时，韧致辐射角分布的峰值将向更小的发射角移动。