Mass and Width of the Lowest Resonance in QCD
I. CapriniGilberto ColangeloNational Institute of Physics and Nuclear Engineering, Bucharest, R-077125 RomaniaH. LeutwylerNational Institute of Physics and Nuclear Engineering, Bucharest, R-077125 Romania
2006en
ABI
Abstract
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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Cited by 30 references