Nucleon form factors in a VMD model with bothQ 2- andS-channel duality

Etim, E.; Małecki, A.

doi:10.1007/bf02813589

Cited by 4 publications

(5 citation statements)

References 15 publications

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“…1. The first attempts to combine resonance (Regge) behavior with Bjorken scaling were made [28][29][30] at low energies (large x), with emphasis on the Q 2 -dependence.…”

Section: A Modified Dama Modelmentioning

confidence: 99%

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Explicit Model Realizing Parton–hadron Duality

Fiore

Flachi

Jenkovszky

et al. 2012

Int. J. Mod. Phys. A

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We present a model that realizes both resonance-Regge (Veneziano) and parton-hadron (Bloom-Gilman) duality. We first review the features of the Veneziano model and we discuss how partonhadron duality appears in the Bloom-Gilman model. Then we review limitations of the Veneziano model, namely that the zero-width resonances in the Veneziano model violate unitarity and Mandelstam analyticity. We discuss how such problems are alleviated in models that construct dual amplitudes with Mandelstam analyticity (so-called DAMA models). We then introduce a modified DAMA model, and we discuss its properties. We present a pedagogical model for dual amplitudes and we construct the nucleon structure function F2(x, Q 2 ). We explicitly show that the resulting structure function realizes both Veneziano and Bloom-Gilman duality.

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“…1. The first attempts to combine resonance (Regge) behavior with Bjorken scaling were made [28][29][30] at low energies (large x), with emphasis on the Q 2 -dependence.…”

Section: A Modified Dama Modelmentioning

confidence: 99%

“…1. The first attempts to combine resonance (Regge) behavior with Bjorken scaling were made [28][29][30] at low energies (large x), with emphasis on the Q 2 -dependence. The amplitudes were chosen such as to match the known behavior of form factors, of vector meson dominance (VMD) with the requirement of Bjorken scaling [46] .…”

Section: A Modified Dama Modelmentioning

confidence: 99%

Explicit Model Realizing Parton–hadron Duality

Fiore

Flachi

Jenkovszky

et al. 2012

Int. J. Mod. Phys. A

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show abstract

“…First attempts to combine resonance (Regge) behaviour with Bjorken scaling were made [11,12,13] at low energies (large x), with the emphasis on the right choice of the Q 2 -dependence, such as to satisfy the required behaviour of form factors, vector meson dominance (the validity (or failure) of the (generalized) vector meson dominance is still disputable) with the requirement of Bjorken scaling. Similar attempts in the high-energy (low x) region became popular recently stimulated by the HERA data [14,15,16].…”

Section: Qcd Evolutionmentioning

confidence: 99%

Continuation of the dual amplitude with Mandelstam analyticity off mass shell

Magas¹

2007

Proceedings of Diffraction 06, International Workshop on Diffraction in High-Energy Physics — PoS(DIFF2006)

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A model for the Q 2 -dependent modified dual amplitude with Mandelstam analyticity (M-DAMA) is proposed. M-DAMA preserves all the attractive properties of DAMA, such as its pole structure and Regge asymptotics, and leads to a generalized dual amplitude A(s,t, Q 2 ). This amplitude can be checked in the known kinematical limits, i.e. it should reduce to onshell hadronic scattering amplitude for Q 2 = 0 and can be related to the nuclear structure function for t = 0. In such a way we complete a unified "two-dimensionally dual" picture of strong interaction. By comparing the structure function F 2 , resulting from M-DAMA, with phenomenological parameterizations, we fix the Q 2 -dependence in M-DAMA. In all studied regions, i.e. large and low x limits as well as for the resonance region, the results of M-DAMA are in qualitative agreement with the experiment. The new feature of the M-DAMA is the possible existence, according to vector meson dominance, of Q 2 poles in negative Q 2 region, accessible in e + e − annihilation.

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“…The smooth background is also modeled by a single term and exotic trajectory (16). As has been already ex- …”

Section: Numerical Estimatesmentioning

confidence: 99%

“…First attempts to combine resonance (Regge) behaviour with Bjorken scaling were made [13,15,16] at low energies (large x), with the emphasis on the right choice of the A consistent treatment of the problem requires the account for the spin dependence. For the sake of simplicity we ignore it in this paper (see e.g.…”

Section: Nucleon Resonances In Inelastic Electron-nucleon Scatteringmentioning

confidence: 99%