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arXiv 1106.0465hep-ph
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测量光子-光子散射的一个建议

A Proposal to Measure Photon-Photon Scattering

Takehisa Fujita, Naohiro Kanda

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7 pages, no figure
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摘要：

从理论上讨论了在低能下测量光子-光子散射截面的可能性。低能光子-光子散射的截面可以写为$\displaystyle{{dσ\over dΩ} \simeq {α^4\over (12π)^2 ω^2} (3+2\cos^2θ+\cos^4θ)}$，其中$ω$是光子的能量。在$ω\simeq 1$ eV处的散射截面的大小应该比海森堡和欧拉用经典场论图象计算光子散射的预测大$10^{37}$倍。由于光子-光子反应过程初始条件的困难，我们建议在测量$γ+γ\rightarrow γ+γ$弹性散射之前先测量几MeV的$γ+γ\rightarrow e^++e^- $反应。

英文摘要：

We discuss a possibility to measure the photon-photon scattering cross section at low energy in a theoretical standpoint. The cross section of photon-photon scattering at low energy can be written as $\displaystyle{{dσ\over dΩ} \simeq {α^4\over (12π)^2 ω^2} (3+2\cos^2θ+\cos^4θ)}$ with $ω$ the energy of photon. The magnitude of the cross section at $ω\simeq 1$ eV should be $10^{37}$ times larger than the prediction of Heisenberg and Euler who calculated the photon scattering by the classical picture of field theory. Due to a difficulty of the initial condition of photon-photon reaction process, we propose to first measure $γ+γ\rightarrow e^++e^- $ reaction at a few MeV before measuring $γ+γ\rightarrow γ+γ$ elastic scattering.

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