The total nucleon-nucleon cross section at large N_c

Abstract

It is shown that at sufficiently large $N_c$ for incident momenta which are much larger than the QCD, the total nucleon-nucleon cross section is independent of incident momentum and given by ${\sigma }^{\mathrm{total}}=2\pi {\log }^2(N_c)/(m_{\pi }^2)$. This result is valid in the extreme large $N_c$ regime of $\log (N_c)\gg 1$ and has corrections of relative order $\log (\log (N_c))/\log (N_c)$. A possible connection of this result to the Froissart-Martin bound is discussed.

4 pages

References in corpus (5)

• Experimental Confirmation that the Proton is Asymptotically a Black Disk
• Mini review of Poincaré invariant quantum theory
• Baryons and baryonic matter in the large Nc and heavy quark limits
• Total nucleon-nucleon cross sections in large N(c) QCD
• Conference Discussion of the Nuclear Force

Cited by in corpus (5)

• QCD and strongly coupled gauge theories: challenges and perspectives
• Comments on high-energy total cross sections in QCD
• Nucleon-nucleon scattering matrix and its Nc scaling
• The inelastic vs. total nucleon-nucleon cross section at large $N_c$
• Nucleon-Antinucleon Annhiliation at Large Nc