Soft Dipole Pomeron in hadronic elastic and in deep inelastic scattering

A brief review on the Dipole Pomeron model is given. The model not only describes data on hadron-hadron interactions, but also allows to describe data on the proton structure function with a $Q^2$ independent intercept. Moreover the chosen Dipole Pomeron has an intercept equal to one and does not violate unitarity limit on the total elastic cross-section.Comment: 4 pages, latex, 5 eps figures. Talk given at the International Conference on Elastic and Difractive Scattering (YIIIth "Blois Workshop"), 28 June - 2 July 1999, Protvino, Russia. To be published in Proceedings of the Conferenc

Regge models of the proton structure function with and without hard Pomeron: a comparative analysis

A comparative phenomenological analysis of Regge models with and without a hard Pomeron component is performed using a common set of recently updated data. It is shown that the data at small $x$ do not indicate explicitly the presence of the hard Pomeron. Moreover, the models with two soft-Pomeron components (simple and double poles in the angular momentum plane) with trajectories having intercept equal one lead to the best description of the data not only at $W>3$ GeV and at small $x$ but also at all $x\leq 0.75$ and $Q^{2}\leq 30000$ GeV$^{2}$.Comment: 21 pages, LaTeX2e, 4 eps figures, report number is added, some typos are correcte

Proton structure function. Soft and hard Pomerons

Regge models for proton structure function with and without a hard Pomeron contribution are compared with all available data in the region $W>3$ GeV, $Q^{2}\leq 3000$ GeV$^{2}$ and $x<0.75$. It is shown that the data do not support a hard Pomeron term in $\gamma^{*} p$ amplitude. Moreover, the data support the idea that the soft Pomeron, either is a double pole with $\alpha_{P}(0)=1$ in the angular momentum $j$-plane, or is a simple pole with $\alpha_{P}(0)=1+\epsilon$ where $\epsilon \ll 1$.Comment: 6 pages, LaTeX2e with elsart.sty, no figures. Talk given at the IX-th Blois Workshop on Elastic and Diffractive Scattering, Pruhonice near Prague, June, 2001, one reference is correcte

Evidence for maximality of strong interactions from LHC forward data

It is important to check if the Froissaron-Maximal Odderon (FMO) approach is the only model in agreement with the LHC data. We therefore generalized the FMO approach by relaxing the $\ln^2s$ constraints both in the even-and odd-under-crossing amplitude. We show that, in spite of a considerable freedom of a large class of amplitudes, the best fits bring us back to the maximality of strong interaction. Moreover, if we leave Odderon Regge pole intercept $\alpha_O(0)$ completely free we find a very good solution for $\alpha_O(0)$ near -1 in agreement with the result of oddballs spectroscopy in QCD based on AdS/CFT correspondence.Comment: Section 5 is extended, one reference is replaced, none of results is change

Can the "standard" unitarized Regge models describe the TOTEM data?

The standard Regge poles are considered as inputs for two unitarization methods: eikonal and U-matrix. It is shown that only models with three input pomerons and two input odderons can describe the high energy data on $pp$ and $\bar pp$ elastic scattering including the new data from Tevatron and LHC. However, it seems that the both considered models (eikonal and U-matrix) require a further modification (e.g., to explore nonlinear reggeon trajectories and/or nonexponential vertex functions) for a more satisfactory description of the data at 19.0 GeV$\leq \sqrt{s}\leq$ 7 TeV and 0.01 $\leq |t|\leq$14.2 GeV$^{2}$.Comment: 11 pages, 7 figures, typos are corrected, minor corrections in the text, No changes in results and conclusion. To appear in EP

Of Dips, Structures and Eikonalization

We have investigated several models of Pomeron and Odderon contributions to high energy elastic $pp$ and $\bar p p$ scattering. The questions we address concern their role in this field, the behavior of the scattering amplitude (or of the total cross-section) at high energy, and how to fit all high energy elastic data. The data are extremely well reproduced by our approach at all momenta and for sufficiently high energies. The relative virtues of Born amplitudes and of different kinds of eikonalizations are considered. An important point in this respect is that secondary structures are predicted in the differential cross-sections at increasing energies and these phenomena appear quite directly related to the procedure of eikonalizing the various Born amplitudes. We conclude that these secondary structures arise naturally within the eikonalized procedure (although their precise localization turns out to be model dependent). The fitting procedure naturally predicts the appearance of a zero at small $|t|$ in the real part of the even amplitude as anticipated by general theorems. We would like to stress, once again, how important it would be to have at LHC both $pp$ and $p \bar p$ options for many questions connected to the general properties of high energy hadronic physics and for a check of our predictions.Comment: 28 pages, LaTeX, 7 figure