五态模型中电子偶素与氢原子的散射
Positronium-hydrogen-atom scattering in a five-state model
摘要：
在考虑Ps（1 s）H（2s，2 p）和Ps（2s，2 p）H（1 s）激发的五态耦合沟道模型中，利用最近提出的电子交换模型势研究了正电子偶素（Ps）与氢原子的散射.用第一玻恩近似计算了Ps原子的高激发态（$n\ge 3$）和电离态.计算报告的散射长度，相移，弹性，PS-和H-激发，和总截面。观察到显着的相关性之间的S-波Ps-H结合能和单重散射长度，有效范围，并在各种模型计算得到的共振能。这些相关性表明，如果一个Ps-H动力学模型对这四个观测量之一产生了正确的结果，那么它就有望对其他三个观测量产生正确的结果。本模型，其被构造为再现在4.01 eV的Ps-H共振，自动产生在-1.05 eV的Ps-H束缚态，其与-1.067 eV的准确值相比很好。该模型导致3.72 $a_0$的单线态散射长度和1.67 $a_0$的有效范围，而相关性建议的精确值为$3.50a_0$和1.65 $a_0$，分别为这些可观的。
英文摘要：
The scattering of ortho-positronium (Ps) by hydrogen atoms has been investigated in a five-state coupled-channel model allowing for Ps(1s)H(2s,2p) and Ps(2s,2p)H(1s) excitations using a recently proposed electron-exchange model potential. The higher ($n\ge 3$) excitations and ionization of the Ps atom are calculated using the first Born approximation. Calculations are reported of scattering lengths, phase shifts, elastic, Ps- and H-excitation, and total cross sections. Remarkable correlations are observed between the S-wave Ps-H binding energy and the singlet scattering length, effective range, and resonance energy obtained in various model calculations. These correlations suggest that if a Ps-H dynamical model yields the correct result for one of these four observables, it is expected to lead to the correct result for the other three. The present model, which is constructed so as to reproduce the Ps-H resonance at 4.01 eV, automatically yields a Ps-H bound state at -1.05 eV which compares well with the accurate value of -1.067 eV. The model leads to a singlet scattering length of 3.72$a_0$ and effective range of 1.67$a_0$, whereas the correlations suggest the precise values of $3.50a_0$ and 1.65$a_0$ for these observables, respectively.
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