Hadronic total cross sections at high energy and the QCD spectrum

Abstract

We show how to obtain the leading energy dependence of hadronic total cross sections, in the framework of the nonperturbative approach to soft high-energy scattering based on Wilson-loop correlation functions, if certain nontrivial analyticity assumptions are satisfied. The total cross sections turn out to be of "Froissart" type, ${\sigma }_{\mathrm{tot}}^{(hh)}(s)\sim B{\log }^{2}s$ for $s\to \infty$. We also discuss under which conditions the coefficient $B$ is universal, i.e., independent of the hadrons involved in the scattering process. In the most natural scenarios for universality, $B$ can be related to the stable spectrum of QCD, and is predicted to be $B_{\mathrm{th}}\simeq 0.22\mathrm{mb}$, in fair agreement with experimental results. If we consider, instead, the stable spectrum of the quenched (i.e., pure-gauge) theory, we obtain a quite larger value $B_{\mathrm{th}}^{(Q)}\ge 0.42\mathrm{mb}$, suggesting (quite surprisingly) large unquenching effects due to the sea quarks.

Revised version; 43 pages, 3 figures

References in corpus (6)

• Towards the glueball spectrum from unquenched lattice QCD
• Reflective scattering from unitarity saturation
• Can the pomeron be derived from a Euclidean-Minkowskian duality?
• High Energy Bounds on Soft N=4 SYM Amplitudes from AdS/CFT
• Universal Rise of Hadronic Total Cross Sections based on Forward pi p and pbarp(pp) Scatterings
• High-energy hadron-hadron (dipole-dipole) scattering on the lattice

Cited by in corpus (10)

• Hadron collisions at ultrahigh energies: black disk or resonant disk modes?
• Excitation function of elastic $pp$ scattering from a unitarily extended Bialas-Bzdak model
• Excitation function of elastic $pp$ scattering from a unitarily extended Bialas-Bzdak model
• Leading components in forward elastic hadron scattering: Derivative dispersion relations and asymptotic uniqueness
• Comments on high-energy total cross sections in QCD
• Remarks on the static dipole-dipole potential at large distances
• Simple Lévy-$\alpha$ stable model analysis of elastic $pp$ and $p\bar{p}$ low-$|t|$ data from SPS to LHC energies
• Renormalisation of gauge theories on general anisotropic lattices and high-energy scattering in QCD
• Can Froissart Bound Explain Hadron Cross-Sections at High Energies?
• An investigation on the leading and subleading high-energy behavior of hadron-hadron total cross sections using a best-fit analysis of hadronic scattering data