Hadron-hadron Total Cross Sections Research Articles

Holographic description of total hadronic cross sections at high energies

We investigate the hadron-hadron total cross sections at high energies in the framework of holographic QCD. In our model setup, the involved strong interaction is described by the Brower-Polchinski-Strassler-Tan Pomeron exchange kernel, and the two form factors are obtained from the bottom-up AdS/QCD models. We show that the resulting nucleon-nucleon total cross section is consistent with the experimental data recently measured by the TOTEM collaboration at the LHC. As examples to see the general versatility of the model, we also present our analysis on the pion-nucleon and pion-pion cases, which can be predicted because all the adjustable parameters are fixed by the nucleon-nucleon data.

Investigation of the leading and subleading high-energy behavior of hadron-hadron total cross sections using a best-fit analysis of hadronic scattering data

In the present investigation we study the leading and subleading high-energy behavior of hadron-hadron total cross sections using a best-fit analysis of hadronic scattering data. The parametrization used for the hadron-hadron total cross sections at high energy is inspired by recent results obtained by Giordano and Meggiolaro [J. High Energy Phys. 03 (2014) 002] using a nonperturbative approach in the framework of QCD, and it reads ${\ensuremath{\sigma}}_{\mathrm{tot}}\ensuremath{\sim}B{\mathrm{ln}}^{2}s+C\mathrm{ln}s\mathrm{ln}\mathrm{ln}s$. We critically investigate if $B$ and $C$ can be obtained by means of best-fits to data for proton-proton and antiproton-proton scattering, including recent data obtained at the LHC, and also to data for other meson-baryon and baryon-baryon scattering processes. In particular, following the above-mentioned nonperturbative QCD approach, we also consider fits where the parameters $B$ and $C$ are set to $B=\ensuremath{\kappa}{B}_{\mathrm{th}}$ and $C=\ensuremath{\kappa}{C}_{\mathrm{th}}$, where ${B}_{\mathrm{th}}$ and ${C}_{\mathrm{th}}$ are universal quantities related to the QCD stable spectrum, while $\ensuremath{\kappa}$ (treated as an extra free parameter) is related to the asymptotic value of the ratio ${\ensuremath{\sigma}}_{\mathrm{el}}/{\ensuremath{\sigma}}_{\mathrm{tot}}$. Different possible scenarios are then considered and compared.

High-energy behavior of hadronic total cross sections from lattice QCD

By means of a nonperturbative approach to soft high-energy hadron-hadron scattering, based on the analytic continuation of Wilson-loop correlation functions from Euclidean to Minkowskian theory, we shall investigate the asymptotic energy dependence of hadron-hadron total cross sections in lattice QCD: we will show, using best fits of the lattice data with proper functional forms satisfying unitarity and other physical constraints, how indications emerge in favor of a universal asymptotic high-energy behavior of the kind Blog2s for hadronic total cross sections.

Asymptotic energy dependence of hadronic total cross sections from lattice QCD

The nonperturbative approach to soft high-energy hadron-hadron scattering, based on the analytic continuation of Wilson-loop correlation functions from Euclidean to Minkowskian theory, allows to investigate the asymptotic energy dependence of hadron-hadron total cross sections in lattice QCD. In this paper we will show, using best fits of the lattice data with proper functional forms satisfying unitarity and other physical constraints, how indications emerge in favor of a universal asymptotic high-energy behavior of the kind B log^2 s for hadronic total cross sections.

High-energy hadron-hadron (dipole-dipole) scattering from lattice QCD

In this paper the problem of high-energy hadron-hadron (dipole-dipole) scattering is approached (for the first time) from the point of view of lattice QCD, by means of Monte Carlo numerical simulations. In the first part, we give a brief review of how high-energy scattering amplitudes can be reconstructed, using a functional-integral approach, in terms of certain correlation functions of two Wilson loops and we also briefly recall some relevant analyticity and crossing-symmetry properties of these loop-loop correlation functions, when going from Euclidean to Minkowskian theory. In the second part, we shall see how these (Euclidean) loop-loop correlation functions can be evaluated in lattice QCD and we shall compare our numerical results with some nonperturbative analytical estimates that appeared in the literature, discussing in particular the question of the analytic continuation from Euclidean to Minkowskian theory and its relation to the still unsolved problem of the asymptotic s-dependence of the hadron-hadron total cross sections.

Asymptotic correlations between total cross-sections and forward scattering amplitudes

Recent experimental results on hadron-hadron total cross-sections and on the real parts of forward scattering amplitudes are discussed on the basis of rigorous model-independent theory. Some consequences of the asymptotic theorems obtained recently by the authors are presented.

Total cross-sections and forward nuclear amplitudes

The most recent data on hadron-hadron total cross-sections and forward nuclear amplitudes are reviewed. The experiments which, in this field, are either under way or in preparation, are discussed.

An empirical scaling behaviour of hadron-hadron total cross-sections

An empirical scaling behaviour of hadron-hadron total cross-sections

Nonlinear Sum Rules for High-Energy Hadron-Hadron Collisions in the Quark Model

By assuming that quark-quark double scattering contributes appreciably to high-energy hadron-hadron scattering, we obtain a quadratic and a cubic sum rule for hadron-hadron total cross sections. These sum rules are found to agree with experiment at an incident hadron momentum of $16 \frac{\mathrm{BeV}}{c}$.