UHE中微子：衍射锥内胶子的熔合
UHE Neutrinos: Fusing gluons within diffraction cone
摘要：
目前对超高能中微子-核子相互作用中胶子聚变效应的估计以及对质子的DIS中胶子聚变效应的估计在定义散射轮廓函数$Γ(b)$时存在不确定性。事实上，在碰撞参量空间中充满相互作用胶子的区域$S$，从一个分析到另一个分析，变化的因子是$4 - 5$。为了消除不确定性，我们指定了满足总偶极核子散射截面和小角弹性散射振幅限制的偶极核子分波振幅$Γ(b)$。面积$S$成为与衍射锥斜率成比例的明确定义的量。数值求解了非线性色偶极BFKL方程，计算了UHE中微子-核子总截面。我们的发现是，饱和是一个相当弱的效果，$\lsim 25%$，高达$E_ν\sim 10^{12}$ GeV。
英文摘要：
Currently available estimates of the gluon-fusion effect in ultra-high energy neutrino-nucleon interactions as well as in DIS on protons suffer from uncertainty in defining the scattering profile function $Γ(b)$. Indeed, the area, $S$, in the impact parameter space populated with interacting gluons varies by a factor of $4 - 5$ from one analysis to another. To get rid of uncertainties we specify the dipole-nucleon partial-wave amplitude $Γ(b)$ which meets the restrictions imposed by both the total dipole-nucleon cross section and the small angle elastic scattering amplitude. The area $S$ becomes a well defined quantity proportional to the diffraction cone slope. We solve numerically the non-linear color dipole BFKL equation and evaluate the UHE neutrino-nucleon total cross section. Our finding is that the saturation is a rather weak effect, $\lsim 25%$, up to $E_ν\sim 10^{12}$ GeV.
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