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E. Martynov

Publications and source records attributed to E. Martynov.

At least 19 recordsLinked to original sources
arXiv2022

Unitarity and Finkelstein-Kajantie problem in diffraction hadron production

The diffraction production of many hadron showers separated by large rapidity gaps, when calculated within the standard pomeron approach, lead to cross sections rising much faster than Froissart-Martin bound. This is the point of Finkelstein-Kajantie problem. We consider the unitarization procedure based on Dyson-Schwinger equations with input froissaron propagators and 3-froissaron vertex (3f-vertex) depending on angular momenta of froissarons in it. The developed diffraction production model allows to resolve Finkelstein-Kajantie problem.

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arXiv2020

Froissaron and Maximal Odderon with spin-flip in $pp$ and $\bar pp$ high energy elastic scattering

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.

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arXiv2020

Multigap diffraction cross sections. Problems in eikonal methods for the pomeron unitarization

Large rapidity gap diffraction processes are considered in multi-channel eikonal models. It is shown that shadow corrections to over-fast rising contribution of the input supercritical pomeron (with $α(0)>1$), originating from the pomeron rescatterings or, equivalently, accounting survival probability factor, do not solve the Finkelstein-Kajantie problem. Therefore, in our opinion, another methods of unitarization of supercritical pomeron should be developed.

hep-ph↗
arXiv2019

The ratio $ρ^{pp}_{\bar pp}(s)$ in Froissaron and Maximal Odderon approach

The ratios $ρ^{pp}_{\bar pp}(s)$ of the real to the imaginary part of forward elastic $pp$ and $\bar pp$ scattering amplitudes at very high energies are considered in the models with rising total cross-sections and its difference. It is shown from the dispersion relations for $pp$ and $\bar pp$ scattering amplitudes that in the Froissaron and Maximal Odderon approach the ratios do not vanish asymptotically and they have the opposite signs for $pp$ and $\bar pp$ scattering.

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arXiv2018

Impact-parameter analysis of the new TOTEM pp data at 13 TeV: black disk limit excess

We revisit a discussion on the impact-parameter dependence of proton-proton elastic scattering amplitude with improved uncertainty calculation. This analysis allows to reveal the asymptotic properties of hadron interactions. New data indicates that the impact-parameter elastic scattering amplitude is slightly above the black disk limit at 13~TeV c.m.s. energy of the LHC reaching a value of $\mathrm{Im}\,H(s,0) = 0.512\pm 0.001\ \text{(sys+stat)} \pm 0.004\ \text{(norm)}$ confirming that black disk limit is violated at current collision energy, however it was not exceeded at 7~TeV. The growth trend of the impact-parameter amplitude imaginary part, extrapolated from previous and new data, indicates that it is unlikely that the amplitude is close to saturation. New analysis is consistent with smooth energy evolution of the elastic scattering amplitude and supersedes the earlier conclusion on the black disk limit excess observed at 7~TeV.

hep-ph↗
arXiv2018

Discovery of the Odderon by TOTEM experiments and the FMO approach

This paper is an extended version of the talk by B. Nicolescu at the XLVIII International Symposium on Multiparticle Dynamics (ISMD2018) at Singapore, 3-7 September, 2018. Theoretical basis and history of the Froissaron and Maximal Odderon (FMO) approach for elastic $pp$ and $\bar pp$ scattering is presented. Precise formulation of the FMO model at any momentum transfer squared $t$ is given. The model is applied to description and analysis of the experimental data in a wide interval of energy $\sqrt{s}$ and $t$. The special attention is given for the latest TOTEM data at 13 TeV, both at $t=0$ and at $t\neq 0$ and to their interpretation in the FMO model. It is emphasized that the last TOTEM results can be considered as clear evidence for the first experimental observation of the Odderon, predicted theoretically about 50 years ago.

hep-ph↗
arXiv2018

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 $α_O(0)$ completely free we find a very good solution for $α_O(0)$ near -1 in agreement with the result of oddballs spectroscopy in QCD based on AdS/CFT correspondence.

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arXiv2014

Quasi-eikonal and quasi-U-matrix unitarization schemes beyond the Black Disk Limit

Quasi-eikonal and quasi-U-matrix unitarization of the standard Regge-pole amplitude for $α(0)>1$ have been considered. We show that some violation of unitarity even at high energy exists in both models. We have found in quasi-eikonal model a bump-oscillation structure of ${\rm Im}H(s,b)$ at large values of impact parameter $b$ but where ${\rm Im}H(s,b)$ is closed to the maximal value. We argue that it is possible to choose the parameter regulating deviation of generalized models from pure eikonal or U-matrix modes in order to restore unitarity.

hep-ph↗
arXiv2014

Impact analysis of TOTEM data at the LHC: black disk limit exceeded

We discuss the profile of the impact--parameter dependent elastic scattering amplitude. Extraction of impact-parameter dependence from the dataset with inclusion of the experimental data on elastic scattering at the LHC energies helps to reveal the asymptotics of hadron interactions. Analysis of the data clearly indicates that the impact-parameter elastic scattering amplitude exceed the black disk limit at the LHC energy 7TeV and the inelastic overlap function reaches its maximum value at $b>0$

hep-ph↗
arXiv2013

Proton (antiproton) elastic scattering at energies from FNAL to LHC in the tripole pomeron-odderon model

The model of elastic scattering amplitudes dominated by the triple (at $t=0$) pomeron pole suggested earlier is modified to confront to existing experimental data on $pp$ and $\bar pp$ total and differential cross sections at $\sqrt{s}\geq 19$ GeV and $|t|\leq 14.2$ GeV$^{2}$ including the newest TOTEM data. Predictions for the future TOTEM measurements at 13 and 14 TeV are given.

hep-ph↗
arXiv2013

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}$.

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arXiv2012

Dispersion relations for meson-proton and proton-proton forward elastic scattering

An analysis of the data on forward $pp, \bar pp, π^{\pm}p$ and $K^{\pm}p$ scattering is performed making use of the single- and double-subtraction integral and comparing with derivative dispersion relations for amplitudes. Various pomeron and odderon models for the total cross sections are considered and compared. The real part of the amplitude is calculated via dispersion relations. It is shown that the integral dispersion relations lead to a better description of the data for $\sqrt{s}>$5 GeV. Predictions of the considered models for the TOTEM experiment at LHC energies are given

hep-ph↗
arXiv2010

Predictions for TOTEM experiment at LHC from integral and derivative dispersion relations

Integral and derivative dispersion relations (IDR and DDR) are considered for the proton-proton and antiproton-proton forward scattering amplitudes. A scheme for calculation of the corrections to asymptotic form for the DDR is presented. The data on the total proton-proton and antiproton-proton cross sections as well as the data on the ratios $ρ$ of real to imaginary part of the forward scattering amplitudes have been analyzed by the IDR and DDR methods within high-energy Regge models. Regge parametrizations of high-energy total cross sections supplemented by the properly calculated low-energy part of the dispersion integral (from the two-proton threshold up to center-of-mass energy 5 GeV) allow to reproduce well the $ρ$ data at low energies with the only free parameter, subtraction constant. It is shown that three models for the pomeron, simple pole pomeron (with intercept large than unity), tripole pomeron and dipole pomeron (the both with the unit value intercept) lead to practically equivalent description of the available data at $\sqrt{s}>$5 GeV. Predictions for the TOTEM measurements of cross section and $ρ$ at the center-of-mass energies 7 and 14 GeV are given.

hep-ph↗
arXiv2009

Inclusive distributions in the unitarized pomeron models

High energy inclusive hadron production in the central kinematical region is analyzed within the models of unitarized pomeron. It is shown that the sum of multipomeron exchanges with intercept $α_P(0)>1$ reproduce qualitatively contribution of the triple pole (at $t=0$) pomeron to inclusive cross section. Basing on this analogy we then suggest a general form of unitarized pomeron contributions (in particular the dipole or tripole pomeron) to inclusive cross section. They lead to a parabolic form of the rapidity distribution giving $ \propto \ln^3s$ (tripole) or $ \propto \ln^2s$ (dipole). The models considered with suggested parametrization of $p_t$-dependence for cross sections well describe the rapidity distributions data in $pp$ and $\bar pp$ interactions at energy $\sqrt{s}\geq 200$ GeV. The predictions for one particle inclusive production at LHC energies are given.

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