Mass and width of the lowest resonance in QCD

Details Mass and width of the lowest resonance in QCD Mass and width of the lowest resonance in QCD

2005-12-29

arxiv.org/abs/hep-ph/0512364v2

Phys.Rev.Lett.96:132001,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

Revtex, 4 pages, 2 figures, two refences added, minor text changes, version appeared in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.96.132001

We demonstrate that near the threshold, the pi pi scattering amplitude
contains a pole with the quantum numbers of the vacuum - commonly referred to
as the sigma - and determine its mass and width within small uncertainties. Our
derivation does not involve models or parametrizations, but relies on a
straightforward calculation based on the Roy equation for the isoscalar S-wave.

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