论文标题

在张量 - 蛋白酶方法中的高能质子蛋白碰撞中的软辐射:Bremsstrahlung

Soft-photon radiation in high-energy proton-proton collisions within the tensor-Pomeron approach: Bremsstrahlung

论文作者

Lebiedowicz, Piotr, Nachtmann, Otto, Szczurek, Antoni

论文摘要

我们讨论在没有光子辐射的小动量转移下质子 - 蛋白质碰撞中的衍射过程。我们将软的独家反应$ pp \ to pp $,$ p \ bar {p} \ to p \ bar {p} $,以及tensor-pomeron和vector-odderon方法中的$ pp \ to ppγ$。我们将结果与$ pp $和$ p \ bar {p} $的数据进行比较,总横截面的比率是远期散射幅度的真实部分与虚构部分的比率,以及弹性$ pp $ cross截面,尤其是图腾的弹性$ pp $ cross部分。为了更准确地描述低能数据,必须包括二级恢复。我们使用Tensor-Pomeron模型写下了高能质子蛋白胶原碰撞中Photon Bremsstrahung的振幅。这些结果与C.M.有关目前在相对论重离子对撞机和LHC上可用的能量。我们通过计划在LHC的Alice实验的未来升级进行预测,以预测软光子的建议测量。我们研究了基于LOW定理的软孔子近似(SPA)的适用性限制。将相应的水疗结果与从我们完整模型获得的结果进行比较。相位空间的区域被定量地给出了水疗中心和我们完整的张量 - 蛋白酶结果彼此接近的区域。例如,让$ k _ {\ perp} $,$ \ rm y $和$ω$是横向动量,速度和光子能量的绝对值,分别是整个C.M.系统。对于区域$ 1 \; {\ rm mev} <k _ {\ perp} <100 \; {\ rm mev} $和$ 3.5 <| \ rm y | <5.0 $,我们发现仅具有极点项$ \ proptoω^{ - 1} $的SPA ANSATZ在百分位级别同意,我们的完整模型结果最高$ω\ CONC 2 $ GEV。

We discuss diffractive processes in proton-proton collisions at small momentum transfers without and with photon radiation. We consider the soft exclusive reactions $pp \to pp$, $p\bar{p} \to p\bar{p}$, and $pp \to pp γ$ within the tensor-pomeron and vector-odderon approach. We compare our results with the data for $pp$ and $p\bar{p}$ total cross sections, for the ratio of real to imaginary part of the forward scattering amplitude, and for the elastic $pp$ cross sections, especially those from TOTEM. To describe the low-energy data more accurately the secondary reggeons must be included. We write down the amplitudes for the photon bremsstrahlung in high-energy proton-proton collisions using the tensor-pomeron model. These results are relevant for the c.m. energies presently available at the Relativistic Heavy Ion Collider and at the LHC. We present predictions for the proposed measurements of soft photons with the planned future upgrade of the ALICE experiment at the LHC. We investigate the limits of applicability of the soft-photon approximation (SPA) based on Low's theorem. The corresponding SPA results are compared to those obtained from our complete model. The regions of phase space are given quantitatively where SPA and our complete tensor-pomeron results are close to each other. As an example, let $k_{\perp}$, $\rm y$, and $ω$, be the absolute value of the transverse momentum, the rapidity, and the energy of the photon, respectively, in the overall c.m. system. For the region $1 \; {\rm MeV} < k_{\perp} < 100 \; {\rm MeV}$ and $3.5 < |\rm y| < 5.0$, we find that the SPA Ansatz with only the pole terms $\propto ω^{-1}$ agrees at the percent level with our complete model result up to $ω\cong 2$ GeV.

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