Wigner symmetry, Large Nc and Renormalized One Boson Exchange Potential

TL;DR

This paper explores how Wigner symmetry influences nucleon-nucleon interactions within the One Boson Exchange framework, highlighting the role of large Nc considerations and providing phenomenological relations for phase shifts.

Contribution

It introduces a novel analysis of Wigner symmetry in NN scattering using One Boson Exchange Potentials with large Nc contributions, revealing symmetry patterns in phase shifts.

Findings

Successful relations between singlet and triplet phase shifts across elastic region

Symmetry breaking relations match large Nc predictions for even-L waves

Strong violation of symmetry relations in odd-L partial waves

Abstract

Wigner symmetry in Nuclear Physics provides a unique example of a non-perturbative long distance symmetry, a symmetry strongly broken at short distances. We analyse the consequences of such a concept within the framework of One Boson Exchange Potentials in NN scattering and keeping the leading Nc contributions. Phenomenologically successful relations between singlet 1S0 and triplet 3S1 scattering phase shifts are provided in the entire elastic region. We establish symmetry breaking relations among non-central phase shifts which are successfully fulfilled by even-L partial waves and strongly violated by odd-L partial waves, in full agreement with large Nc requirements.