L. L. Jenkovszky

Analytic model of Regge trajectories

Abstract:A model for a Regge trajectory compatible with the threshold behavior required by unitarity and asymptotics in agreement with analyticity constraints is given in explicit form. The model is confronted in the time-like region with widths and masses of the mesonic resonances and, in the space-like region, the ρ trajectory is compared with predictions derived from the π-N charge-exchange reaction. Breaking of the exchange degeneracy is studied in the model and its effect on both the masses and widths is determined.

Baryonic regge trajectories with analyticity constraints

A model for baryonic Regge trajectories compatible with the threshold behavior required by unitarity and asymptotic behavior in agreement with analyticity constraints is given in explicit form. Widths and masses of the baryonic resonances on the N and {delta} trajectories are reproduced. The MacDowell symmetry is exploited and an application is given.

Unifying “soft” and “hard” diffractive exclusive vector meson production and deeply virtual Compton scattering

A Pomeron model applicable to both “soft” and “hard” processes is suggested and tested against the high-energy data from virtual photon-induced reactions. The Pomeron is universal, containing two terms, a “soft” and a “hard” one, whose relative weight varies with f Q 2 = Q 2 +M 2 V , where Q 2 is the virtuality of the incoming photon and MV is the mass of the produced vector particle. With a small number of adjustable parameters, the model fits all available data on vector meson production and deeply virtual Compton scattering from HERA. Furthermore, we attempt to apply the model to hadron-induced reactions, by using high-energy data from proton-proton scattering.

Kinematically complete analysis of the CLAS data on the proton structure function F 2 in a Regge-dual model

The recently measured inclusive electron-proton cross section in the nucleon resonance region, performed with the CLAS detector at the Thomas Jefferson Laboratory, has provided new data for the nucleon structure function F2 with previously unavailable precision. In this paper we propose a description of these experimental data based on a Regge-dual model for F2. The basic inputs in the model are nonlinear complex Regge trajectories producing both isobar resonances and a smooth background. The model is tested against the experimental data, and the Q 2 dependence of the moments is calculated. The fitted model for the structure function ~inclusive cross section! is a limiting case of the more general scattering amplitude equally applicable to deeply virtual Compton scattering. The connection between the two is discussed.

Fixed angle elastic hadron scattering

The scattering amplitude in the dual model with Mandelstam analyticity and trajectory

Analytical evolution of nucleon structure functions with power corrections at twist-4 and predictions for ultra-high energy neutrino-nucleon cross section

\alpha (s)=\alpha_{0}-\gamma \ln [ (1+\beta \sqrt{s_{0} -s})/(1+ \beta \sqrt{s_{0}})]

Exclusive diffractive production of real photons and vector mesons in a factorized Regge-pole model with nonlinear Pomeron trajectory

is studied in the limit

Exclusive J/Psi electroproduction in a dual model

s,|t|\to \infty, s/t=const.

Finite sum of gluon ladders and high energy cross sections

By using the saddle point method, a series decomposition for the scattering amplitude is obtained, with the leading and two sub-leading terms calculated explicitly.

The pomeron in exclusive JΦ vector meson production

In this paper we present an analytic result for the evolution in Q 2 of the structure functions for the neutrino-nucleon interaction, valid at twist-2 in the region of small values of the Bjorken x variable and for soft non-perturbative input. In the special case of flat initial conditions, we include in the calculation also the contribution of the twist-4 gluon recombination corrections, whose effect in the evolution is explicitly determined. Finally, we estimate the resulting charged-current neutrino-nucleon total cross section and discuss its behavior at ultrahigh energies.