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Resolving the Large-N Nuclear Potential Puzzle

Thomas D. Cohen
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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.

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Thomas D. Cohen. 2002-10-29. Resolving the Large-N Nuclear Potential Puzzle. https://doi.org/10.1103/physrevc.66.064003

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