Resolving the Large-N Nuclear Potential Puzzle

Details Resolving the Large-N Nuclear Potential Puzzle Resolving the Large-N Nuclear Potential Puzzle

2002-09-23

arxiv.org/abs/nucl-th/0209072v3

Phys.Rev. C66 (2002) 064003

Physics

Nuclear Physics

Nuclear Theory

Corrections to the toy model

Scientific paper

10.1103/PhysRevC.66.064003

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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