The Nucleon-Nucleon Interaction and Large N_c QCD

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 $\Delta$ as an intermediate state.

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

Cited by in corpus (36)

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• Serber symmetry, Large Nc and Yukawa-like One Boson Exchange Potentials
• The large-N(c) nuclear potential puzzle
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• Error analysis of nuclear forces and effective interactions
• Resolving the Large-N Nuclear Potential Puzzle
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• Large $N_c$ QCD at non-zero chemical potential
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• Lattice Effective Field Theory Simulations of Nuclei
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• Nucleon-Nucleon Scattering under Spin-Isospin Reversal in Large-N_c QCD
• Large-$N_c$ operator analysis of hyperon-nucleon interactions in SU(3) chiral effective field theory
• Large-$N_c$ and renormalization group constraints on parity-violating low-energy coefficients for three-derivative operators in pionless effective field theory
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• The $1/N_c$ expansion in hadron effective field theory
• Removal of singularities from the covariant spectator theory
• The inelastic vs. total nucleon-nucleon cross section at large $N_c$
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