Phenomenological Analysis of $pp$ and $\bar{p}p$ Elastic Scattering Based on Theoretical Bounds in High-Energy Physics
S. D. Campos, V. A. Okorokov
备注：
22 pages, 7 figures and 11 tables. We corrected some formulas and results of the fitting procedure. This work present intermediate steps and results that are not shown in the published version
Considering the Froissart-Martin bound, Jin-Martin-Cornille bound and the optical theorem, we propose a novel parametrization for the total cross-section of proton-proton and antiproton-proton elastic scattering data. Using derivative dispersion relations we obtain the real part of the elastic scattering amplitude and thus the $ρ$ parameter. Simultaneous fits to $σ_{tot}$ and $ρ$ are performed allowing very good statistical descriptions of the available data. Furthermore, predictions to $σ_{tot}$ and $ρ$ at energies not used in the fit procedures are presented. For $σ_{tot}$ we obtain predictions at RHIC, LHC and future HC energies.
We describe the discovery of the colorless $C$-odd gluonic compound, the odderon, by the D0 and TOTEM Collaborations by comparing elastic differential cross sections measured in $pp$ and $p \bar{p}$ interactions at high energies
Elastic scattering, polarization and absorption of relativistic antiprotons on nuclei
本文用Glauber模型计算了束流动量范围为$\sim 0.5\div10$ GeV/c的反质子与核的弹性和准弹性散射和吸收。一个很好的协议，我们的计算与现有的LEAR数据和早期的Glauber模型研究的$\bar p A$弹性散射，使我们能够作出预测的束动量为$\sim 10$ GeV/c，即在该制度的熊猫实验在FAIR。与质子-核弹性散射截面的比较表明，在$\bar p A$情况下，由于基元弹性振幅的实部与虚部之比的绝对值较小，衍射极小值更深.预期在10 GeV/c处$\bar p A$弹性散射的显著偏振信号。我们还揭示了一个强烈的依赖性的$\bar p A$吸收截面上的斜率参数的横向动量依赖的基本$\bar pN$振幅。讨论了$\bar p A$的光学势。
We analyze the differences between the $pp$ and $p\bar{p}$ differentia l elastic cross section measurements by the D0 and TOTEM Collaborations at the Tevatron, Fermilab, and the LHC, CERN that lead to a significance larger than 3$σ$ of the existence of the colourless $C$-odd three-gluon state, the odderon.
The TOTEM 2.76, 7, 8, and 13 TeV pp elastic differential cross sections are extrapolated using a data-driven approach to obtain the 1.96 TeV pp elastic cross section. A difference with a 3.4$σ$ significance is observed between the extrapolated pp elastic cross section and the D0 p$\bar{\rm p}$ elastic cross section at 1.96 TeV in the region of the diffractive minimum and the second maximum of the pp cross section, providing evidence for colourless C-odd gluonic exchanges, also denoted as odderon. These results are combined with a TOTEM analysis of the same $t$-channel C-odd exchanges based on …
Elastic diffractive scattering of nucleons is described in terms of Regge-eikonal approach. It is demonstrated that, in a wide kinematic region (starting from the U-70 energies), the eikonal of proton-proton scattering can be approximated by the sum of two Reggeon exchange terms (namely, the so-called soft Pomeron and $f$-Reggeon contributions). The range of applicability of the considered approximation is determined. The predictive value of the proposed phenomenological scheme is verified.
Hadron spectroscopy is a powerful tool for testing the standard model and for the search of new physics. In this work, we create a tetraquark model from a di-meson interaction inspired by Jacobi coordinates. We consider mesons as thick points and quantify their interaction with the quark-antiquark interaction through a factor k (that takes approximately the value 2) in a central phenomenological potential, reducing the four-body problem finally to a one body equivalent problem. The eigenproblem is solved using a combination of the DVR method and perturbation theory in a C++ code. We obtain a m…
Inspired by the recent TOTEM data for the elastic proton -- proton ($pp$) scattering at $\sqrt{s} =$ 8 and 13 TeV, we update previous studies of the differential cross sections using the Phillips -- Barger (PB) model, which parametrizes the amplitude in terms of a small number of free parameters. We demonstrate that this model is able to describe the recent $pp$ data on a statistically acceptable way. Additionally, we perform separate fits of the $pp$ data for each center - of - mass energy and propose a parametrization for the energy dependence of the parameters present in the PB model. As a …
The effect of the self-energy on the photon-proton elastic scattering is investigated for the backward and the forward directions. The shape of the Thomson scattering at the photon energy $ω\to 0$ is broken by taking into account the self-energy of proton. The electromagnetic polarizabilities $\barα\pm\barβ$ are calculated by the lowest-order perturbative treatment.
The Regge features of elastic $K^\pm N\to K^\pm N$, and charge exchange $K^-p\to\bar{K}^0n$ and $K^+n\to K^0p$ reactions are described by using a combined analysis of all these channels at high momenta. Based on the meson exchanges in the $t$-channel with their decays to $K\bar{K}$ pair allowed, the exchanges of $ρ(775)+ω(782)$ are excluded in contrast to existing model calculations and the present work follows a new scheme for the meson exchanges $a_0(980)+ϕ(1020)+f_2(1275)+a_2(1320)$ reggeized for the forward elastic scattering amplitude together with Pomeron. The charge exchange reactions a…
We describe a new and model-independent Lévy imaging method of quality fits to the published datasets and reconstruct the amplitude of high-energy $pp$ and $p\bar p$ elastic scattering processes. This method allows us to determine the excitation function of the shadow profile $P(b)$, the elastic slope $B(t)$ and the nuclear phase $ϕ(t)$ functions of $pp$ and $p\bar p$ collisions directly from the data. Surprisingly, notable qualitative differences in $B(t)$ for $pp$ and for $p\bar p$ collisions point towards an Odderon effect. As a by-product, we clearly identify the proton substructure with t…
We comment on phase selection of the scattering amplitude, emphasizing that the elastic overlap function should have a central impact parameter profile at high energies and highlighting the role of the reflective scattering mode at the LHC energies. Emerging problems with the use of peripheral impact parameter dependence of the elastic overlap function are explicitly indicated. Their solution is an elimination of the phases connected to peripheral form of the elastic overlap function. Contrary, we adhere to a relative peripheral form of the {\it inelastic} overlap function with an additional n…
We assume that the scattering amplitude is represented by Froissaron, Maximal Odderon as well as by standard Regge poles. From the fit to the data of $pp$ and $\bar pp$ scattering at high energy and not too large momentum transfers we found that this model taking into account the spin is available to describe not only the differential, total cross section and $ρ$, but also the existing experimental data on polarization.
Determination of the forward slope in $p~p$ and $\bar p~p$ elastic scattering up to LHC energy
在分析$p p$（或$\bar p p$）弹性微分截面的实验数据时，习惯上以$\exp{(-b|t|)}$的形式定义平均向前斜率$b$，其中$t$是动量传递。以Tevatron和SPS的实验结果为例，我们将借助碰撞图像方法表明，这种简化的假设隐藏了复杂的非翻转散射振幅的有趣信息，并且斜率$b$不是常数。我们调查这个斜率参数的变化，包括一个模型独立的方式来提取这些信息的弹性微分截面的准确测量。我们的结果的扩展到大型强子对撞机的能量域，在未来的实验。
