Abstract

A complex optical potential (OP) is employed to study the critical minima (CM) and spin polarization in the elastic e⁻–Ba and e⁺–Ba scattering for collision energies in the range E_i = 1–1500 eV and E_i = 1–100 eV respectively in terms of the Dirac partial wave method (OPMD) and the Schrödinger partial wave method (OPMS). The energy dependence of the integral elastic cross sections (IECSs), momentum transfer cross sections (MTCSs), viscosity cross sections (VCSs), inelastic cross sections (INCSs) and total cross sections (TCSs) is also calculated and discussed for both the projectiles in the same energy range. The OPMD optical potential is composed of the static, exchange, polarization and absorption components. On the other hand, the OPMS comprises the static, local exchange, polarization, spin–orbit, and absorption potentials. The number of CM in the DCS distribution of e⁻–Ba scattering has been found to be 11 using the OPMD method, while the OPMS calculation produces 12 CM points. However, the OPMS calculation with the static and spin–orbit potentials only produces 9 CM. The critical energies and the angular positions of these CM are revealed and discussed. There are 22 and 24 maximum spin polarization points found in the e⁻–Ba scattering using OPMD and OPMS respectively. For the case of e⁺–Ba scattering, we have found 2 CM with OPMD calculations of which the angular positions along with the critical energies are discussed. There are 4 maximum polarization points noted with OPMD calculations which fail to attain the condition for sharpness of S(θ) distribution. To the best of our knowledge, the present is the first work to determine the CM in the DCS distribution of e^±–Ba scattering. The Sherman function and the DCSs for some energy points are also calculated for the first time.

Graphical abstract

中文翻译：

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e±–Ba弹性散射中的临界极小值和自旋极化的研究

摘要

复杂的光势（OP）用于研究弹性能量e ^-- Ba和e ⁺ -Ba散射中的临界最小值（CM）和自旋极化，其碰撞能量在E _i  = 1–1500 eV和E _i范围内 Dirac分波方法（OPMD）和Schrödinger分波方法（OPMS）分别为1-100 eV。还计算并讨论了两个弹丸的积分弹性横截面（IECS），动量传递横截面（MTCS），粘度横截面（VCS），非弹性横截面（INCSs）和总横截面（TCS）的能量依赖性。在相同的能量范围内。OPMD光势由静电，交换，偏振和吸收分量组成。另一方面，OPMS包括静态，局部交换，极化，自旋轨道和吸收势。e-的DCS分布中的CM数^-–使用OPMD方法发现Ba散射为11，而OPMS计算产生12 CM点。但是，具有静态和自旋轨道电势的OPMS计算仅产生9 CM。揭示并讨论了这些CM的临界能量和角位置。使用OPMD和OPMS分别在e ^-- Ba散射中发现22和24个最大自旋极化点。对于e ⁺ -Ba散射的情况，我们发现2 CM的OPMD计算方法，其中讨论了角位置以及临界能量。OPMD计算中指出有4个最大偏振点，它们不能达到S（θ）分发。据我们所知，目前是确定e ^± –Ba散射的DCS分布中CM的第一项工作。还首次计算了一些能量点的谢尔曼函数和DCS。

图形概要