The large-N(c) nuclear potential puzzle

Abstract

An analysis of the baryon-baryon potential from the point of view of large-N(c) QCD is performed. A comparison is made between the N(c)-scaling behavior directly obtained from an analysis at the quark-gluon level to the N(c)-scaling of the potential for a generic hadronic field theory in which it arises via meson exchanges and for which the parameters of the theory are given by their canonical large-N(c) scaling behavior. The purpose of this comparison is to use large-N(c) consistency to test the widespread view that the interaction between nuclei arises from QCD through the exchange of mesons. Although at the one- and two-meson exchange level the scaling rules for the potential derived from the hadronic theory matches the quark-gluon level prediction, at the three- and higher-meson exchange level a generic hadronic theory yields a potential which scales with N(c) faster than that of the quark-gluon theory.

17 pages, LaTeX, 5 figures

References in corpus (1)

• The Nucleon-Nucleon Interaction and Large N_c QCD

Cited by in corpus (22)

• Modern Theory of Nuclear Forces
• Phases of Dense Quarks at Large N_c
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• Dark Nuclei II: Nuclear Spectroscopy in Two-Colour QCD
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• Quadrupole Moments of N and Delta in the 1/N_c Expansion
• Nuclear Forces for Precision Nuclear Physics -- a collection of perspectives
• Renormalization vs Strong Form Factors for One Boson Exchange Potentials
• Three-nucleon force at large distances: Insights from chiral effective field theory and the large-N_c expansion
• The nuclear liquid-gas phase transition at large $N_c$ in the Van der Waals approximation
• Correlated two-pion exchange and large-N(C) behavior of nuclear forces
• Serber symmetry, Large Nc and Yukawa-like One Boson Exchange Potentials
• Three-nucleon forces in the 1/Nc expansion
• Resolving the Large-N Nuclear Potential Puzzle
• Dynamical Interpretation of the Nucleon-Nucleon Interaction and Exchange Currents in the Large $N_C$ Limit
• Large $N_c$ QCD at non-zero chemical potential
• Conference Discussion of the Nuclear Force
• Total nucleon-nucleon cross sections in large N(c) QCD
• Nucleon-Nucleon Scattering under Spin-Isospin Reversal in Large-N_c QCD
• Nucleon-nucleon scattering matrix and its Nc scaling
• The total nucleon-nucleon cross section at large N_c
• The $1/N_c$ expansion in hadron effective field theory