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arXiv · 1203.5843

The total nucleon-nucleon cross section at large N_c

Thomas D. Cohen
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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 $\sigma^{\rm total}=2 \pi \log^2(N_c) / (m^2_{\pi})$. 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.

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Thomas D. Cohen. 2012-03-26. The total nucleon-nucleon cross section at large N_c. https://doi.org/10.1103/physrevlett.108.262301

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