全面拟合$σ$、$ρ$和$B$的高能数据以及渐近黑盘极限
Comprehensive fits to high energy data for $σ$, $ρ$, and $B$ and the asymptotic black-disk limit
摘要:
我们表明,质子-质子和反质子-质子前向散射的全部数据之间的6 GeV和57 TeV的质心能量是足够的,以表明$σ_{\rm elas}/σ_{\rm tot} \rightarrow 1/2$,并在非常高的能量,其中$B$的微分弹性散射截面的前向斜率参数$8πB/σ_{\rm tot}\rightarrow 1$。这些关系令人信服地表明,渐近$pp$和$\bar{p}p$散射振幅接近那些从黑色磁盘的散射。这个结果显然对任何修改前向散射振幅的新物理学都有意义。
英文摘要:
We demonstrate that the entirety of the data on proton--proton and antiproton--proton forward scattering between 6 GeV and 57 TeV center-of-mass energy is sufficient to show that $σ_{\rm elas}/σ_{\rm tot} \rightarrow 1/2$, and that $8πB/σ_{\rm tot}\rightarrow 1$ at very high energies, where $B$ the forward slope parameter for the differential elastic scattering cross sections. The relations demonstrate convincingly that the asymptotic $pp$ and $\bar{p}p$ scattering amplitudes approach those of scattering from a black disk. This result obviously has implications for any new physics that modifies the forward scattering amplitudes.
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