The additive quark model revisited: Hadron- and photon-induced cross sections

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

doi:10.1007/s100530050513

Cited by 13 publications

(28 citation statements)

References 15 publications

(20 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…≈ 1.12) comparing with other models. A new very detailed and circumstantial analysis of these data confirming our conclusions is presented at this conference in the talk of V. Ezhela [6] Furthermore, in the framework of a modified additive quark model (where corrections for the coupling of Pomeron with two quark lines as well as new counting rules for the secondary reggeons were taken into account) [7] the Dipole Pomeron was used to describe simultaneously cross-sections of p ± p, π ± p, γp, γγ interactions, related by factorization conditions. An important property of the Dipole Pomeron model is that all fits give a high value of the f -reggeon intercept, α f (0) ≈ 0.8 ÷ 0.82.…”

supporting

confidence: 58%

Soft Dipole Pomeron in Hadronic Elastic and in Deep Inelastic Scattering

Martynov¹

2000

Elastic and Diffractive Scattering

Self Cite

View full text Add to dashboard Cite

Abstracts. 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.The Regge approach [1] is one of the most powerful method to investigate hadronic interactions at high energies. In spite of many unsolved problems, its actual application is slowed down because of lacking new experimental data. Now, the main efforts of the experimentalists and theoreticians are concentrated on the deep inelastic scattering (DIS) and related processes. Again the Regge method shows its effectiveness in a wide kinematical domain.It follows quite evidently from the observed growth of the hadronic total cross-sections and of the structure functions that the true Pomeron singularity is more complicated than that a simple j-pole. Even if a simple pole with an intercept larger than unity is used as an input, it should be unitarized in order to restore the Froissart-Martin bound [2], σ t (s) < C ln 2 s. Unfortunately a well defined strict procedure of unitarization is still absent, while approximate methods are used; as consequence, we do not know what is really the true Pomeron.The well known and quite popular example of a model with an input Pomeron violating the unitarity bound (because it has α P (0) ≈ 1.08 > 1)) is the Donnachie-Landshoff Pomeron (D-L) [3]. Moreover, and regrettably, in some papers this model is identified with the Regge theory and its inability to describe some experimental data is declared as a problem of Regge theory. However, and happily, the D-L Pomeron is not the only phenomenological possibility to describe the above mentioned growth of observed quantities. Another way to satisfy this property is to suppose that the Pomeron is harder than a simple pole at j = 1. The simplest realization of such an hypothesis is the Dipole Pomeron model [4].The Dipole Pomeron (DP) is a combination of the double and simple poles in the partial j-plane amplitudewith the trajectory α P (t) ≈ 1 + α ′ P t, linear at small t. The Dipole Pomeron is the unitarity limit for an isolated j-singularity with a unit intercept and with a linear trajectory at small t. IfThus in the present Dipole Pomeron model at s → ∞:The Dipole Pomeron in hadronic processes. At preasymptotic energies the contribution of other reggeons (f, ω etc...) should be added. If only pp andpp amplitudes are considered one can write(pp) (s, t) = P(s, t) + f (s, t) ± ω(s, t)with P(s, t) = i[g 1 (t) ln(−is/s 0 ) + g 2 (t)](−is/s 0 ) αP (t)−1 , s 0 = const,r(s, t) = η r g r (t)(−is/s 0 ) αr (t)−1 , r = f, ω, η f = i, η ω = 1.1 We do not consider here Odderon because it is out of the subject of talk.

show abstract

supporting

confidence: 58%

Soft Dipole Pomeron in Hadronic Elastic and in Deep Inelastic Scattering

Martynov¹

2000

Elastic and Diffractive Scattering

Self Cite

View full text Add to dashboard Cite

show abstract

“…The reason lies in the similarity of these models when (as in the present case), the value of ǫ = α P (0) − 1 is very small (ǫ ≈ 0.0101). Actually, as emphasized in [13,4], when ǫ ≪ 1, the Supercritical Pomeron approximates very closely the Dipole Pomeron since, in the relevant energy range, and for s 0 given in (10)…”

Section: Resultsmentioning

confidence: 81%

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

et al. 2001

Self Cite

View full text Add to dashboard Cite

The exchange-degeneracy of the mesonic f , ω, ρ and a 2 Regge trajectories, dominant at moderate and high energies in hadron elastic scattering, is analyzed from two viewpoints. The first one concerns the masses of the resonances lying on these trajectories; the second one deals with the total cross-sections and the ratios of the real to the imaginary parts of the forward amplitudes of hadron and photon induced reactions. Neither set of data supports exact exchange-degeneracy.

show abstract

“…Applying the MAQM and DP (adding at t = 0 an Odderon contribution), we obtain a quite good description (with χ 2 /dof ≈ 2.38) of the total cross-sections for pp,pp, π ± p, γp and γγ and of the differential cross-sections of pp andpp elastic scattering in a wide kinematical region ( √ s ≥5 GeV for t = 0 [5] and √ s ≥19 GeV for 0 < |t| ≤ 14 GeV 2 [6]). Thus : not only the forward scattering data but also the elastic scattering at small and large |t| can be described with a high quality in the Dipole Pomeron model with the intercept α P (0) equal to one.…”

Section: If the Well Known Supercritical Pomeronmentioning

confidence: 81%

“…• Dipole Pomeron model and elastic scattering. I present here, without any details and references for an history of the subject, that can be found in [5,6], only the final results concerning the differential cross-sections of elastic pp and pp interactions in the so-called Modified Additive Quark Model (MAQM).…”

Section: If the Well Known Supercritical Pomeronmentioning

confidence: 99%

See 1 more Smart Citation

Logarithmically rising hh and γh cross-sections: some features of model versus experimental data.

Martynov

2001

Nuclear Physics B - Proceedings Supplements

Self Cite

View full text Add to dashboard Cite

A Regge model of the Pomeron with intercept equal to one, leading to rising cross-sections is considered. Analysis of the experimental data on hadron and photon induced interactions is performed within the model. It is shown that the available pure hadronic data as well as data on DIS are compatible with a high energy logarithmic behaviour of cross-sections and do not require a Pomeron intercept above one. The very important rôle of the preasymptotic contributions is especially emphasized.

show abstract

The additive quark model revisited: Hadron- and photon-induced cross sections

Abstract: The standard additive quark model and the ensuing counting rules are modified to take into account the quark-gluonic content of the Pomeron and of the secondary Reggeons. The result is that a much improved description of pp, πp, γp and γγ cross-sections is achieved.

Cited by 13 publications

References 15 publications

Soft Dipole Pomeron in Hadronic Elastic and in Deep Inelastic Scattering

Soft Dipole Pomeron in Hadronic Elastic and in Deep Inelastic Scattering

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

Logarithmically rising hh and γh cross-sections: some features of model versus experimental data.

Contact Info

Product

Resources

About