Resolving the Large-N Nuclear Potential Puzzle

Abstract

The large $N_c$ nuclear potential puzzle arose because three- and higher-meson exchange contributions to the nucleon-nucleon potential did not automatically yield cancellations that make these contributions consistent with the general large $N_c$ scaling rules for the potential. Here it is proposed that the resolution to this puzzle is that the scaling rules only apply for energy-independent potentials while all of the cases with apparent inconsistencies were for energy-dependent potentials. It is shown explicitly how energy-dependent potentials can have radically different large N behavior than an equivalent energy-independent one. One class of three-meson graphs is computed in which the contribution to the energy-independent potential is consistent with the general large N rules even though the energy-dependent potential is not.

Corrections to the toy model

References in corpus (4)

• The Nucleon-Nucleon Interaction and Large N_c QCD
• The large-N(c) nuclear potential puzzle
• Nucleon-Nucleon Scattering Observables in Large-$N_c$ QCD
• Dynamical Interpretation of the Nucleon-Nucleon Interaction and Exchange Currents in the Large $N_C$ Limit

Cited by in corpus (20)

• Modern Theory of Nuclear Forces
• Few-Nucleon Forces and Systems in Chiral Effective Field Theory
• The Zero-Bin and Mode Factorization in Quantum Field Theory
• Four-nucleon force in chiral effective field theory
• Dark Nuclei II: Nuclear Spectroscopy in Two-Colour QCD
• Four-nucleon force using the method of unitary transformation
• 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
• Hidden spin-isospin exchange symmetry
• Serber symmetry, Large Nc and Yukawa-like One Boson Exchange Potentials
• Three-nucleon forces in the 1/Nc expansion
• Time-reversal-invariance-violating nucleon-nucleon potential in the 1/N_c expansion
• Large-$N_c$ Relationships Among Two-Derivative Pionless Effective Field Theory Couplings
• Two-pion exchange as a leading-order contribution in chiral effective field theory
• 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