The existence of entities consisting of electrons and positrons was predicted in 1946 by J. A. Wheeler and he called them polyelectrons. The simplest bound-state is called positronium (Ps, e−e+). Wheeler speculated that two Ps atoms may combine to form the di-positronium molecule (Ps2, e−e+e−e+) which was finally observed in 2007. He also conjectured the existence of larger systems such as (Ps3, e−e+e−e+e−e+). In a previous work the author has formulated the relativistic wave equations in quantum electrodynamics (QED) for a system consisting of n fermions and antifermions of equal masses where n can be any natural number and the equations contain relativistic effects up to the order of O(α4), α is the coupling. The kernels of the n-body wave equations in QED include one-photon exchange and virtual annihilation interactions. The latter interactions occur among pairs of fermions and antifermions. The equations have the Schrodinger non relativistic limit. In this manuscript, some points have been provided with respect to the virtual annihilation interactions for the few-body systems in addition to the particular cases of five- (e−e+e−e+e−) and six-body (e−e+e−e+e−e+) QED systems.

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关于QED中相对论n体波方程中虚拟湮灭相互作用的一些评论

JA Wheeler 于 1946 年预测了由电子和正电子组成的实体的存在，他称它们为多电子。最简单的束缚态称为正电子 (Ps, e−e+)。Wheeler 推测两个 Ps 原子可能结合形成双正电子分子 (Ps2, e-e+e-e+)，最终于 2007 年观察到。他还推测存在更大的系统，如 (Ps3, e-e+ e−e+e−e+)。在之前的工作中，作者为由 n 个等质量的费米子和反费米子组成的系统制定了量子电动力学 (QED) 中的相对论波动方程，其中 n 可以是任何自然数，并且方程包含高达 O( α4), α 是耦合。QED中n体波动方程的内核包括单光子交换和虚湮没相互作用。后者的相互作用发生在成对的费米子和反费米子之间。这些方程具有薛定谔非相对论极限。在这份手稿中，除了五体系统 (e-e+e-e+e-) 和六体 (e- e+e−e+e−e+) QED 系统。