Dynamical Interpretation of the Nucleon-Nucleon Interaction and Exchange Currents in the Large $N_C$ Limit

Abstract

Expression of the nucleon-nucleon Interaction to order $1/N_C$ in terms of Fermi Invariants allows a dynamical interpretation of the interaction and leads to a consistent construction of the associated interaction currents to order $1/N_C$. The numerically significant components of 4 different modern realistic phenomenological interaction models are shown to admit very similar meson exchange interpretations in the large $N_C$ limit. Moreover the ratio of the volume integrals of the leading, next-to-leading and next-to-next leading order terms in these interaction models is roughly 300:5-10:0.1, which corresponds fairly well to the ratios of $1/N_C^2$ between the terms that would be suggested by the $1/N_C$ expansion if $N_C=3$. The $N_C$ dependence of the electromagnetic and axial interaction currents that are associated with these interaction components is derived and compared to that of the corresponding single nucleon currents.

29 pages, LateX, 11 figures

References in corpus (2)

• The large-N(c) nuclear potential puzzle
• A quark-model based study of the triton binding energy

Cited by in corpus (11)

• SU(N) gauge theories at large N
• Dynamics of Baryons from String Theory and Vector Dominance
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Correlated two-pion exchange and large-N(C) behavior of nuclear forces
• Bound States of Heavy Flavor Hyperons
• Large-$N_c$ analysis of two-nucleon neutrinoless double beta decay and charge-independence-breaking contact terms
• Resolving the Large-N Nuclear Potential Puzzle
• Large-$N_c$ Relationships Among Two-Derivative Pionless Effective Field Theory Couplings
• Large-$N_c$ analysis of magnetic and axial two-nucleon currents in pionless effective field theory
• Nucleon-Nucleon Scattering under Spin-Isospin Reversal in Large-N_c QCD
• Nucleon-Meson Couplings in One Boson Exchange Potential using Non-Critical String Theory