论文标题

估计超临界QED中自发排放的现实启动

Estimating the realistic start-up of spontaneous emission in the supercritical QED

论文作者

Krasnov, A., Sveshnikov, K.

论文摘要

由充电$ z $和$ r $的超批评库仑源引起的自发上空排放的情况,在本质上是非扰动的方法,重点是真空能量$ \ nathcal {e} _ {e} _ {vp} $被视为$ r $的函数,带有固定的$ z> z_ {cr,1} \ simeq 170 $。结果表明,在超临界区域中,$ \ Mathcal {e} _ {vp}(r)$的行为依赖于库仑电荷$ z $的价值大不相同。特别是,从$ z \ sim 300 $开始,自发排放成为可见效果。随着$ z $的进一步增长,其强度的增加非常迅速,这为明确检测的可能性开辟了可能性。对于这样的$ z $,自发发射的图像事实证明是完善的,并且在谐振衰减和真空壳形成方面相当透明。概述了$ \ Mathcal {E} _ {vp}(r)$在系统中总能量余额中的亲密但至关重要的作用。还讨论了由Lepton数量保护引起的自发排放的其他问题。

The scenario of spontaneous positron emission, caused by the supercritical Coulomb source with charge $Z$ and size $R$, is explored in essentially non-perturbative approach with emphasis on the vacuum energy $\mathcal{E}_{VP}$\footnote{Throughout the paper the abbreviation "VP"\, stands for "vacuum polarization"\,.}, considered as a function of $R$ with fixed $Z>Z_{cr,1}\simeq 170$. It is shown that in the supercritical region the behavior of $\mathcal{E}_{VP}(R)$ turns out to be quite different in dependence on the value of the Coulomb charge $Z$. In particular, spontaneous emission becomes a visible effect starting only from $Z \sim 300$. With further growth of $Z$ its intensity increases very rapidly, which opens up the possibility for unambiguous detection. For such $Z$ the appearing picture of spontaneous emission turns out to be well-established and quite transparent in terms of the resonance decay combined with vacuum shells formation. The intimate, but crucial role of $\mathcal{E}_{VP}(R)$ in the total energy balance in the system is outlined. The additional problems of spontaneous emission, caused by the lepton number conservation, are also discussed.

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