Hidden Spin-Isospin Exchange Symmetry

The strong interactions among nucleons have an approximate spin-isospin exchange symmetry that arises from the properties of quantum chromodynamics in the limit of many colors, N-c. However this large-N-c symmetry is well hidden and reveals itself only when averaging over intrinsic spin orientations. Furthermore, the symmetry is obscured unless the momentum resolution scale is close to an optimal scale that we call Lambda(large-Nc). We show that the large-N-c derivation requires a momentum resolution scale of Lambda(large-Nc) similar to 500 MeV. We derive a set of spin-isospin exchange sum rules and discuss implications for the spectrum of P-30 and applications to nuclear forces, nuclear structure calculations, and three-nucleon interactions.

Automated summary

The passage discusses the approximate spin-isospin exchange symmetry in the strong interactions among nucleons, which is derived from quantum chromodynamics properties in the limit of many colors, N-c. This large-N-c symmetry is well hidden and only reveals itself when averaging over intrinsic spin orientations, requiring a momentum resolution scale close to an optimal scale known as Lambda(large-Nc) of around 500 MeV. The passage also derives a set of spin-isospin exchange sum rules and discusses implications for various applications in nuclear physics.