Bounds on the soft pomeron intercept

Cudell, Jean-René; Kang, Kyungsik; Kim, Sung Ku

doi:10.1016/s0370-2693(97)00046-4

Cited by 103 publications

(145 citation statements)

References 12 publications

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“…This study complements and expands the results of a recent letter [6], where two of us (JRC and KK) with S. K. Kim presented a detailed statistical analysis of the parameters of the DL model ( [6]), as well as the analysis subsequently presented (by VE, SL and NT) in the 1998 Review of particle physics [7]. This paper is organized as follows.…”

Section: Introductionsupporting

confidence: 67%

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Erratum: High-energy forward scattering and the Pomeron: Simple pole versus unitarized models [Phys. Rev. D61, 034019 (2000)]

Cudell

Ежела²,

Kang³

et al. 2001

Phys. Rev. D

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Using the largest data set available, we determine the best values that the data at t = 0 (total cross sections and real parts of the hadronic amplitudes) give for the intercepts and couplings of the soft pomeron and of the ρ/ω and a/f trajectories. We show that these data cannot discriminate between a simple-pole fit and asymptotic log 2 s and log s fits, and hence are not sufficient to reveal the ultimate nature of the pomeron. However, we evaluate the existing evidence (factorization, universality, quark counting) favouring the simple-pole hypothesis. We also examine the range of validity in energy of the fits, and show that one cannot rely on such fits in the region √ s < 9 GeV. We also establish bounds on the odderon and the hard pomeron.

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Section: Introductionsupporting

confidence: 67%

“…Some superseded points have been removed, and typos have been corrected. It was found in [6] that irrespectively of the models used, the χ 2 /d.o.f. was large due to bad data points at ISR energies.…”

Section: Dataset and Statistical Procedures I1 Datasetmentioning

confidence: 99%

Erratum: High-energy forward scattering and the Pomeron: Simple pole versus unitarized models [Phys. Rev. D61, 034019 (2000)]

Cudell

Ежела²,

Kang³

et al. 2001

Phys. Rev. D

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“…The result is very sensitive to these theoretical assumptions (see, for example, [7]). If we try to redo the minimization using the total cross-sections only, the violation of the weak Regge exchange-degeneracy persists, as already noted in [8]. In the following we will minimize with different analytic forms but using the total cross-sections only.…”

Section: Lpnhe 00-02mentioning

confidence: 94%

A possible two-component structure of the non-perturbative Pomeron

Gauron

Nicolescu

2000

Physics Letters B

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We propose a QCD-inspired two-component Pomeron form which gives an excellent description of the pp, πp, Kp, γp and γγ total cross-sections. Our fit has a better χ 2 /dof for a smaller number of parameters as compared with the PDG fit. Our 2-Pomeron form is fully compatible with weak Regge exchange-degeneracy, universality, Regge factorization and the generalized vector dominance model. LPNHE 00-02April 2000 * Unité de Recherche des Universités Paris 6 et Paris 7, Associée au CNRS 1 40 years after its introduction [1] and in spite of very important advances in QCD, the Pomeron remains an open problem. In particular, the nonperturbative structure of the Pomeron is still controversial.The most popular model of the non-perturbative Pomeron is, of course, the Donnachie-Landshoff (DL) model [2]. The total cross-sections for pp and pp scattering are parametrized in terms of five parameters :whereandα P (0) is the Pomeron-intercept, α R (0) is the effective non-leading exchangedegenerate Regge intercept and X, Y the corresponding Regge residues. An overall scale factor s 0 = 1 GeV 2 is implicitely present in eqs.(1)-(2). The key-parameters ε and α R (0) have the following values :and α R (0) = 0.5475.The pp data are well reproduced. It was therefore tempting to use the DL form to the simultaneous study of all existing total cross-sections. It is precisely what was done by PDG in the last edition of the "Review of Particle Physics" [3], [4]. The total cross-sections σ are parametrized in refs. 3 and 4 in the variant of a non-exchange-degenerate DL form :whereα R + (0) and α R − (0) being the Regge intercepts of the non-leading Regge trajectory R + in the even-under-crossing amplitude and R − in the odd-undercrossing amplitude respectively. X, Y 1 , Y 2 are the corresponding Regge 2 residues. There are 16 parameters for fitting 271 experimental points involving 8 reactions :pp, pp, π ± p, K ± p, γp and γγ. The overall χ 2 is excellent : χ 2 /dof = 0.93 1 . The key-parameter ε has now the value 0.0900. The problem with the form of refs. 3 and 4 is the bad violation of the weak exchange-degeneracy (i.e. α R + (0) = α R − (0)), namelyHowever, the masses of the resonances, as published in the "Review of Particle Physics" [5], clearly indicate that the weak exchange-degeneracy is respected. As seen from fig. 1a) the 10 resonances belonging to the 4 different I G (J P C ) families ρ−ω−f 2 −a 2 are compatible with a unique linear exchangedegenerate Regge trajectorywithandThe numerical values (11)-(12) are extracted just by plugging in (10) the masses and the spins of ρ 1 (770) and ρ 3 (1690) resonances. Remarkably enough, the same α(0) value (11) is compatible with the ∆σ data for the total cross-section differencesThe ∆σ data for pp, Kp and πp and √ s > ∼ 6 GeV [6] shown in the log-log plot of fig. 1b) are all compatible with the straight lines of eq. 14 , the slopes of which are precisely given by the α R − (0) value of eq. (11).These indications in favour of the weak exchange-degeneracy, coming both from the resonanc...

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“…The total cross-sections for hadron-hadron and photon-proton collisions have been found to be well described [27,28] by a Regge parametrisation of the form…”

Section: Results and Model Comparisonsmentioning

confidence: 99%

Total hadronic cross-section of photon-photon interactions at LEP

al.

2000

Eur. Phys. J. C

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The total hadronic cross-section σ γγ (W ) for the interaction of real photons, γγ → hadrons, is measured for γγ centre-of-mass energies 10 ≤ W ≤ 110 GeV. The cross-section is extracted from a measurement of the process e + e − → e + e − γ * γ * → e + e − + hadrons, using a luminosity function for the photon flux together with form factors for extrapolating to real photons (Q 2 = 0 GeV 2 ). The data were taken with the OPAL detector at LEP at e + e − centre-of-mass energies √ s ee = 161, 172 and 183 GeV. The cross-section σ γγ (W ) is compared with Regge factorisation and with the energy dependence observed in γp and pp interactions. The data are also compared to models which predict a faster rise of σ γγ (W ) compared to γp and pp interactions due to additional hard γγ interactions not present in hadronic collisions.

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Bounds on the soft pomeron intercept

Cited by 103 publications

References 12 publications

Erratum: High-energy forward scattering and the Pomeron: Simple pole versus unitarized models [Phys. Rev. D61, 034019 (2000)]

Erratum: High-energy forward scattering and the Pomeron: Simple pole versus unitarized models [Phys. Rev. D61, 034019 (2000)]

A possible two-component structure of the non-perturbative Pomeron

Total hadronic cross-section of photon-photon interactions at LEP

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