Exchange-degenerate Regge trajectories: A fresh look from resonance and forward scattering regions

Desgrolard, P.; Giffon, M.; Martynov, Y.; Predazzi, E.

doi:10.1007/s100520100548

Cited by 29 publications

(36 citation statements)

References 12 publications

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“…One can see from Table 1 that the difference between both comes mainly from the added data on the crosssection σ γp tot , when we are going from A to B. We remark that the pure hadronic cross-sections data at √ s ≥ 5 GeV are described well by the Dipole Pomeron [22,23] Running a few steps forward we should note that there are a few data points from the fixed target experiments [35], [36] in the above mentioned regions A (5 points of BCDMS experiment) and B (5 points of BCDMS and 7 points of SLAC experiments) that lead to some problems in the fit. Firstly, they contribute to the χ 2 noticeably more than the other points do.…”

Section: Fitting Procedures : Detailsmentioning

confidence: 91%

“…We already noted elsewhere [21,23,38] a very interesting phenomenological fact which occurs for total cross-sections. If a constant term (or a contribution from a Regge pole with intercept one) is added to the ordinary "supercritical" Pomeron with α P (0) = 1 + (for example in the popular Donnachie-Landshoff model [20]) the fit to the available data leads to a very small value of ∼ 0.001 and to a negative sign of the new constant term.…”

Section: Modified Two-pomerons (Mod2p) Modelmentioning

confidence: 94%

“…At the same time, the detailed comparison [21]- [23] of various models of Pomeron with the data on total cross-section shows that a better description (less value of χ 2 and more stable values of fitted parameters when the minimal energy of the data set is varying) is achieved in alternative models with Pomeron having intercept one, but being a harder j-singularity, for example, a double pole. Thus, the Soft Dipole Pomeron (SDP) model was generalized for the virtual photon-proton amplitude and applied to the proton structure function (SF) in a wide kinematical region of deep inelastic scattering [8].…”

Section: Introductionmentioning

confidence: 92%

“…The intercept of f -Reggeon is then fixed at the value α f (0) = 0.785 obtained [23] from the fit to hadronic total cross-sections.…”

Section: Soft Dipole Pomeron (Sdp) Modelmentioning

confidence: 99%

“…For intercepts of Pomeron ( ) and of f -Reggeon (α f (0)), the values obtained in [23], in the case of non degenerated and non universal SCP are taken and fixed, in accordance with the idea of Reggeon universality (and because the data for σ γp tot are insufficient to determine precisely and simultaneously both the intercepts and the couplings).…”

Section: Modified Two-pomerons (Mod2p) Modelmentioning

confidence: 99%

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Regge models of the proton structure function with and without hard pomeron: A comparative analysis

Desgrolard¹,

Martynov²

2001

Eur. Phys. J. C

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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 ≤ 0.75 and Q 2 ≤ 30000 GeV 2 .

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Section: Fitting Procedures : Detailsmentioning

confidence: 91%

Section: Modified Two-pomerons (Mod2p) Modelmentioning

confidence: 94%

Section: Introductionmentioning

confidence: 92%

“…The intercept of f -Reggeon is then fixed at the value α f (0) = 0.785 obtained [23] from the fit to hadronic total cross-sections.…”

Section: Soft Dipole Pomeron (Sdp) Modelmentioning

confidence: 99%

Section: Modified Two-pomerons (Mod2p) Modelmentioning

confidence: 99%

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Regge models of the proton structure function with and without hard pomeron: A comparative analysis

Desgrolard¹,

Martynov²

2001

Eur. Phys. J. C

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Forward Observables at RHIC, the Tevatron Run II and the LHC

Cudell

Martynov

Kang

et al. 2003

DIFFRACTION 2002: Interpretation of the New Diffractive Phenomena in Quantum Chromodynamics and in the S-Matrix Theory

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We present predictions on the total cross sections and on the ratio of the real part to the imaginary part of the elastic amplitude (ρ parameter) for present and future pp andpp colliders, and on total cross sections for γp → hadrons at cosmic-ray energies and for γγ → hadrons up to √ s = 1 TeV. These predictions are based on a study of many possible analytic parametrisations and invoke the current hadronic dataset at t = 0. The uncertainties on total cross sections, including the systematic theoretical errors, reach 1% at RHIC, 3% at the Tevatron, and 10% at the LHC, whereas those on the ρ parameter are respectively 10%, 17%, and 26%.This report is based on ref.[1], which constitutes the conclusion of an exhaustive study [2] of analytic parametrisations of soft forward data at t = 0. As explained in V. V. Ezhela's contribution to these proceedings, this study has three main purposes. First of all, it helps maintain the dataset of cross sections and ρ parameters available to the community. Secondly, it enables us to decide which models are the best, and in which region of s. Finally, and this will be the main object of this report, it enables us to make predictions based on a multitude of models, and on all available data.

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Asymptotic Regge trajectories of non-strange mesons

Bugaev

Nikonov

Sorin

et al. 2011

J. High Energ. Phys.

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We analyze the asymptotic behavior of Regge trajectories of non-strange mesons. In contrast to an existing belief, it is demonstrated that for the asymptotically linear Regge trajectories the width of heavy hadrons cannot linearly depend on their mass. Using the data on masses and widths of ρ J −− , ω J −− , a J ++ and f J ++ mesons for the spin values J ≤ 6, we extract the parameters of the asymptotically linear Regge trajectory predicted by the finite width model of quark gluon bags. As it is shown the obtained parameters for the data set B correspond to the cross-over temperature lying in the interval 170.9-175.3 MeV which is consistent with the kinetic freeze-out temperature of early hadronizing particles found in relativistic heavy ion collisions at and above the highest SPS energy.Unexpectedly, a strong argument in favor of linear asymptotic behavior of Regge trajectories of free hadrons was given in [9] by the exactly solvable statistical model for quark gluon (QG) bags [10]. This model is named the finite width model (FWM) since it accounts for finite width of QG bags. Quite generally, the FWM demonstrates that free QG bags of mass M r ≥ M 0 ≈ 2.5 GeV that belong to the continuous mass-volume spectrum of the Hagedorn type [11] should have the mean width Γ r ∼ √ M r . Such a behavior can be provided by the asymptotically linear Regge trajectory [8,9] only. Moreover, the FWM shows that such a behavior of mean width of QG bags, but with the temperature dependent coefficient, remains valid at high temperatures.The main purpose of this work is to extract the parameters of the asymptotic Regge trajectory predicted by the FWM using the experimental data. For our analysis we take the data of ρ J −− , ω J −− , a J ++ and f J ++ mesons which are known with the highest accuracy for J ≤ 6. In contrast to the usual analysis which is restricted by searching for a connection between spin and mass of the trajectory members, we use the full Regge trajectory in the complex s-plane. This allows us to simultaneously describe the masses and widths of involved mesons. Such a task is very important nowadays since a great significance of the width of heavy resonances or bags for the realistic equation of state of strongly interacting matter [9,10,12] and for a description of the fast equilibration process of heavy baryons/antibaryons [13,14,15] and kaons/antikaons [15] in relativistic heavy ion collisions was realized only recently. Also our analysis is necessary for further development of the string model of hadrons and for improvement of such transport codes as the hadron string dynamics [16] and the UrQMD model [17] by including the finite width of heavy resonances. In addition here we would like to demonstrate that a widely spread belief [14,15,18] that the width of heavy hadronic resonances linearly depends on their mass is simply inconsistent with an existence of linear Regge trajectories.The work is organized as follows. Section 2 contains a brief analysis of the asymptotic Regge trajectory properties which demonstrates t...

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Exchange-degenerate Regge trajectories: A fresh look from resonance and forward scattering regions

Cited by 29 publications

References 12 publications

Regge models of the proton structure function with and without hard pomeron: A comparative analysis

Regge models of the proton structure function with and without hard pomeron: A comparative analysis

Forward Observables at RHIC, the Tevatron Run II and the LHC

Asymptotic Regge trajectories of non-strange mesons

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