Elastic Meson-Nucleon and Nucleon-Nucleon Scattering: Models vs. All Available Data

We consider simple-pole descriptions of soft elastic scattering at small $t$ and $s$, and allow for the presence of a hard pomeron. We have built and analyzed an exhaustive dataset and we show that simple poles provide an excellent description of the data in the region $- 0.5$ GeV$^2 < t <$ $- 0.1$ GeV$^2$, 6 GeV$<\sqrt{s}<$63 GeV. We show that new form factors have to be used, and get information on the trajectories of the soft and hard pomerons.Comment: Contribution to the proceedings of the XIth International Conference on Elastic and Diffractive Scattering, Chateau de Blois, France, May 15 - 20, 2005. Needs Blois.sty (provided

Turing Instability in a Boundary-fed System

The formation of localized structures in the chlorine dioxide-idodine-malonic acid (CDIMA) reaction-diffusion system is investigated numerically using a realistic model of this system. We analyze the one-dimensional patterns formed along the gradients imposed by boundary feeds, and study their linear stability to symmetry-breaking perturbations (Turing instability) in the plane transverse to these gradients. We establish that an often-invoked simple local linear analysis which neglects longitudinal diffusion is inappropriate for predicting the linear stability of these patterns. Using a fully nonuniform analysis, we investigate the structure of the patterns formed along the gradients and their stability to transverse Turing pattern formation as a function of the values of two control parameters: the malonic acid feed concentration and the size of the reactor in the dimension along the gradients. The results from this investigation are compared with existing experiments.Comment: 41 pages, 18 figures, to be published in Physical Review

The soft and the hard pomerons: elastic scattering and unitarisation

The hard pomeron component needed to reproduce small-x data seems to be present in elastic scattering at moderate energy. If this is the case, it is likely that the total cross section at the LHC will be appreciably larger than previously expected.Comment: Talk given at 12th International Conference on Elastic and Diffractive Scattering: Forward Physics and QCD, Hamburg, DESY, Germany, 21-25 May 200

Hard pomeron contribution to forward elastic scattering

The introduction of a hard singularity in fits to total cross sections and to the ratio of real to imaginary parts enables to reproduce perfectly the data for sqrt(s)< 100 GeV using only simple-pole parametrisations, both for the soft and for the hard pomerons.Comment: Contribution to the proceedings of the XIth International Conference on Elastic and Diffractive Scattering, Chateau de Blois, France, May 15 - 20, 2005. Needs Blois.sty (provided