Deep minima and vortices for positronium formation in low-energy positron-hydrogen collisions

Deep minima and vortices for positronium formation in low-energy positron-hydrogen collisions
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低能正电子-氢碰撞中正电子素形成的深部极小值和涡旋

DOI:
10.1088/1361-6455/ab31f6
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发表时间:
2019
期刊:
Molecular and Optical Physics
影响因子:
--
通讯作者:
Van Reeth, P
Van Reeth, P
中科院分区:
--
文献类型:
--
作者:
Alrowaily, Albandari W;Ward, S J;Van Reeth, P

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利用双通道Kohn变分法和逆Kohn变分法研究了Ore能隙中正电子-氢碰撞中基态正电子偶素的形成。我们发现两个零的Ps-形成散射振幅f Ps和相应的深极小值的Ps-形成微分截面(DCS),我们准确地确定它们的位置。由于方位角对称性,fPs中的每个零点是零到2π的方位角范围内的单独的零点圆环的一部分。我们研究的速度场与f Ps,其中我们对待的入射正电子的动量和角度的传出正电子偶素作为变量的大小,我们把这个速度场作为扩展的速度场。我们表明,它有两个漩涡是连接的零点在f Ps,它在相反的方向旋转的两个零点在f Ps。以前,与过渡矩阵元素相关的速度场中的涡旋已经为直接电离的DCS中的深极小值提供了解释。随着扩展速度场的引入,我们的工作表明,涡旋也可以发生电荷交换。
Using the two-channel Kohn and inverse Kohn variational methods, we investigate ground-state positronium (Ps) formation in positron-hydrogen collisions in the Ore gap. We find two zeros in the Ps-formation scattering amplitude f Ps and corresponding deep minima in the Ps-formation differential cross section (DCS), and we determine their positions accurately. Due to azimuthal symmetry, each zero in f Ps is part of separate circular rings of zeros for an azimuthal angle range of zero to 2π. We study the velocity field associated with f Ps in which we treat the magnitude of the momentum of the incident positron and the angle of the outgoing positronium as variables, and we refer to this velocity field as the extended velocity field. We show that it has two vortices that are connected with the zeros in f Ps, and that it rotates in opposite directions around the two zeros in f Ps. Previously, vortices in the velocity field associated with the transition matrix element have provided an explanation for deep minima in DCSs for direct ionization. With the introduction of the extended velocity field, our work shows that vortices can occur also for charge exchange.
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