论文标题
LHC能量弹性质子 - 蛋白质散射的缩放特性
Scaling properties of elastic proton-proton scattering at LHC energies
论文作者
论文摘要
图腾协作测量了Elastic Proton-Proton散射的差分横截面$ \ MATHRM {d}σ/\ MATHRM {d} | t | $ at $ \ sqrt {s} = 2.76 $，7、7、8和13 TEV。观察到所有$ \ mathrm {d}σ/\ mathrm {d} | t | $ data点与所谓的“ DIP”和“ bump”区域中的质量中心能量的函数相同。这些特征暗示了弹性散射的可能的通用性能。基于这些经验观察，并从饱和模型中汲取灵感，我们提出了一个简单的缩放定律，以用于LHC能量的质子 - 蛋白质弹性散射。 我们发现$ \ mathrm {d}σ/\ mathrm {d} | t | $在lhc energies处映射到缩放变量$ \ mathrm {d}σ/\ mathrm {d}σ/\ mathrm {d} | t} | \ times（s/\ text {tev}^2）^{ - 0.305} $ vers $（s/\ text {tev}^2）^{0.065} {0.065}（| t |/\ text {gev}^2）^0.72} $。探索了这种缩放定律在散射幅度的影响参数图中的某些含义。
The TOTEM Collaboration has measured the differential cross section of elastic proton-proton scattering $\mathrm{d}σ/\mathrm{d}|t|$ at $\sqrt{s} = 2.76$, 7, 8, and 13 TeV. It is observed that all $\mathrm{d}σ/\mathrm{d}|t|$ data points vary in the same way as a function of the center-of-mass energy in the so-called "dip" and "bump" regions. These features hint at possible universal properties of elastic scattering. Based on these empirical observations, and taking inspiration from saturation models, we propose a simple scaling law for proton-proton elastic scattering at LHC energies. We find that the $\mathrm{d}σ/\mathrm{d}|t|$ at LHC energies fall onto a universal curve when they are mapped to the scaling variables $ \mathrm{d}σ/\mathrm{d}|t| \times (s/\text{TeV}^2)^{-0.305} $ versus $(s/\text{TeV}^2)^{0.065} (|t|/\text{GeV}^2)^{0.72}$. Some implications of this scaling law in the impact parameter picture of the scattering amplitudes are explored.
