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arXiv · hep-ph/0109274

The Nucleon-Nucleon Interaction and Large N_c QCD

Manoj K. Banerjee·Thomas D. Cohen·Boris A. Gelman
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Abstract

The nature of the nonrelativistic nucleon-nucleon potential in the large N_c limit is discussed. In particular, we address the consistency of the meson exchange picture of nucleon interactions. It is shown that the nonrelativistic nucleon-nucleon potential extracted from the Feynmann graphs up to and including two-meson exchange diagrams satisfies the spin-flavor counting rules of Kaplan and Savage, and Kaplan and Manohar, provided the nucleon momenta is of order N_{c}^{0}. The key to this is a cancelation of the retardation effect of the box graphs against the contributions of the crossed-box diagram. The consistency requires including $Δ$ as an intermediate state.

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Manoj K. Banerjee, Thomas D. Cohen, Boris A. Gelman. 2001-12-24. The Nucleon-Nucleon Interaction and Large N_c QCD. https://doi.org/10.1103/physrevc.65.034011

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