Serber symmetry, Large Nc and Yukawa-like One Boson Exchange Potentials

Details Serber symmetry, Large Nc and Yukawa-like One Boson Exchange Potentials Serber symmetry, Large Nc and Yukawa-like One Boson Exchange Potentials

2009-04-02

arxiv.org/abs/0904.0421v1

Phys.Rev.C80:014002,2009

Physics

Nuclear Physics

Nuclear Theory

17 pages, 8 figures

Scientific paper

10.1103/PhysRevC.80.014002

The Serber force has relative orbital parity symmetry and requires vanishing NN interactions in partial waves with odd angular momentum. We illustrate how this property is well fulfilled for spin triplet states with odd angular momentum and violated for odd singlet states for realistic potentials but fails for chiral potentials. We analyze how Serber symmetry can be accommodated within a large Nc perspective when interpreted as a long distance symmetry. A prerequisite for this is the numerical similarity of the scalar and vector meson resonance masses. The conditions under which the resonance exchange potential can be approximated by a Yukawa form are also discussed. While these masses arise as poles on the Second Riemann in pi-pi scattering, we find that within the large Nc expansion the corresponding Yukawa masses correspond instead to a well defined large Nc approximation to the pole which cannot be distinguished from their location as Breit-Wigner resonances.

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