Analytic model of Regge trajectories

Fiore, R.; Jenkovszky, L. L.; Magas, V. K.; Paccanoni, F.; Papa, Alessandro

doi:10.1007/s100500170133

Cited by 34 publications

(78 citation statements)

References 13 publications

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“…This is a direct consequence of the theory (analyticity and unitarity) and it has been verified in many reactions -elastic and inelastic [3]. A reasonable model for the trajectory, compatible with the asymptotic bounds, yet feasible phenomenologically, is [4] …”

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confidence: 87%

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“…The role of this term will be determined from the fits to the data. 4. The Pomeron trajectory is not a linear function.…”

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“…A non-trivial task for analytic models of Regge trajectories consists in deriving the imaginary part of the trajectory from the seemingly linearly increasing real part [13,14]. A dispersion relation connects the real and imaginary part of the trajectory.…”

Section: Non-linear Complex Regge Trajectoriesmentioning

confidence: 99%

Central diffractive resonance production at the LHC

Fiore

Jenkovszky

Schicker

2016

EPJ Web of Conferences

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“…The approach of Ref. [17] combines the concept of Regge trajectories with analyticity, unitarity and resonance data analysis. An economic way to account for the exciting states is to use Regge trajectories, advocated in the present paper and bringing us close to dual models.…”

Section: Form Factors; Analyticity and Unitaritymentioning

confidence: 99%

“…One can start either from trajectories fitted to resonances and scattering data (parametrizations of non-linear complex mesonic trajectories fitting the spectra of resonances as well scattering data exist in the literature [16,17]) or treat them as "effective" ones, to be fitted to the data on form factors. Our strategy here is to start from trajectories close to those in [14] (fitted to form factors) and then look for the effects coming from the deviations from linearity.…”

Section: Introductionmentioning

confidence: 99%

Duality, analyticity, andtdependence of generalized parton distributions

Jenkovszky

2006

Phys. Rev. D

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Basing upon dual analytic models, we present arguments in favor of the parametrization of generalized parton distributions (GPD) in the form ∼ (x/g 0 ) (1−x)α(t) , whereα(t) = α(t) − α(0) is the nonlinear part of the Regge trajectory and g 0 is a parameter, g 0 > 1. For linear trajectories it reduces to earlier proposals. We compare the calculated moments of these GPD with the experimental data on form factors and find that the effects from the nonlinearity of Regge trajectories are large. By Fourier-transforming the obtained GPD, we access the spatial distribution of protons in the transverse plane. The relation between dual amplitudes with Mandelstam analyticity and composite models in the infinite momentum frame is discussed, the integration variable in dual models being associated with the quark longitudinal momentum fraction x in the nucleon.⋆ e-mail address: jenk@bitp.kiev.ua IntroductionGeneralized parton distributions (GPD) [1,2,3] combine our knowledge about the onedimensional parton distribution in the longitudinal momentum with the impact-parameter, or transverse distribution of matter in a hadron or nucleus. It is an ambitious program to access the spatial distribution of partons in the transverse plane and thus to provide a 3-dimensional picture of the nucleon (nucleus) [4,5,6,7,8]. This program involves various approaches, including perturbative QCD, Regge poles, lattice calculations etc. (see Ref.[9] for reviews). The main problem is that, while the partonic subprocess can be calculated perturbatively, the calculation of GPDs require non-perturbative methods. GPDs enter in hard exclusive processes, such as deeply virtual Compton scattering (DVCS); however, they cannot be measured directly but instead appear in convolution integrals, that cannot be easily converted. Hence the strategy is to guess the GPD, based on various theoretical constraints, and then compare it with the data. In the first approximation, the GPD is proportional to the imaginary part of a DVCS amplitude, therefore, as discussed in [10], the knowledge (or experimental reconstruction) of the DVCS amplitude may partly resolve the problem, provided the phase of the DVCS amplitude is also known. In other words, a GPD can be viewed as the imaginary part of an antiquark-nucleon scattering amplitude, or a quark-nucleon amplitude in the u channel.Alternatively, one can extract [11,12], still in a model-dependent way, the nontrivial interplay between the x and t dependence of GPD from light-cone wave functionswhere ψ(x, k ⊥ ) is a 2-particle wave function (see, e.g., [13]) and t ≡ q ⊥ .In two recent papers [14,15] various forms of GPD for ξ = 0 were tested against the experimental data on the related form factors. The agreement with the data in Ref. [14] is impressive; in Ref.[15] the spatial distribution of partons in the transverse plane was also calculated. We pursue the approach of Refs. [14,15] by bringing more arguments coming from duality in favor of the parametrization for H(x, t) used in [14] and exploring how analyticity...

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Analytic model of Regge trajectories

Cited by 34 publications

References 13 publications

J/ψphotoproduction at DESY HERA

J/ψphotoproduction at DESY HERA

Central diffractive resonance production at the LHC

Duality, analyticity, andtdependence of generalized parton distributions

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