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The theory of quantum mechanical scattering in hyperbolic space is developed. General formulas based on usage of asymptotic form of the solution of the Shrödinger equation in hyperbolic space are derived. The concept of scattering length in hyperbolic space, a convenient measurable in describing low-energy nuclear interactions is introduced. It is shown that, in the limit of the flat space, i.e., when ρ → ∞ , the obtained expressions for quantum mechanical scattering in hyperbolic space transform to corresponding formulas in three-dimensional Euclidean space. [ABSTRACT FROM AUTHOR]

A simple model for elastic diffractive hadron scattering, reproducing the dip-bump structure is used to analyze pp and $\bar pp$ scattering. The main emphasis is on the delicate and nontrivial dynamics in the dip-bump region, near t = -1 GeV2. The simplicity of the model and the expected smallness of the absorption corrections enables one the control of various contributions to the scattering amplitude, in particular the interplay between the C-even and C-odd components of the amplitude, as well as their relative contribution, changing with s and t. The role of the nonlinearity of the Regge trajectories is scrutinized. The ratio of the real to imaginary parts of the forward amplitude, the ratio of elastic to total cross-sections and the inelastic cross-section are calculated. Predictions for the LHC energy region, where most of the existing models will be either confirmed or ruled out, are presented. [ABSTRACT FROM AUTHOR]

The expected resonance structure for low-mass single diffractive states is predicted from a Regge-dual model elaborated earlier by the present authors. Estimates for the observable low-mass single diffraction dissociation (SDD) cross-sections and efficiencies for single diffractive events simulated by PYTHIA 6.2 as a function of the diffractive mass are given. [ABSTRACT FROM AUTHOR]

Saturation in deep inelastic scattering and deeply virtual Compton scattering is associated with a phase transition between the partonic gas, typical of moderate x and Q2, and partonic fluid appearing at increasing Q2 and decreasing Bjorken x. In this paper we do not intend to propose another parametrization of the structure function; instead we suggest a new insight into the internal structure of the nucleon, as seen in deep inelastic scattering, and its connection with that revealed in high-energy nucleons and heavy-ion collisions. [ABSTRACT FROM AUTHOR]

A model for generalized parton distributions (GPDs) in the form of ∼( x/g 0)(1− x)ᾶ( t), where ᾶ( t) = α( t) − α(0) is the nonlinear part of the Regge trajectory and g 0 is a parameter, g 0 > 1, is presented. For linear trajectories, it reduces to earlier proposals. We compare the calculated moments of these GPDs 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 GPDs, 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. [ABSTRACT FROM AUTHOR]