The Nucleon-Nucleon Interaction and Large N_c QCD

Details The Nucleon-Nucleon Interaction and Large N_c QCD The Nucleon-Nucleon Interaction and Large N_c QCD

2001-09-27

arxiv.org/abs/hep-ph/0109274v5

Phys.Rev. C65 (2002) 034011

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, 6 figures, labels added to figures, typos fixed, minor modifications to the text

Scientific paper

10.1103/PhysRevC.65.034011

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 $\Delta$ as an intermediate state.

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