Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-04-29
Phys.Lett.B679:449-453,2009
Physics
High Energy Physics
High Energy Physics - Phenomenology
7 pages. No figures. (elsevier preprint)
Scientific paper
10.1016/j.physletb.2009.08.021
The rigorous quantum mechanical definition of a resonance requires determining the pole position in the second Riemann sheet of the analytically continued partial wave scattering amplitude in the complex Mandelstam s-variable plane. For meson resonances we investigate the alternative Breit-Wigner (BW) definition within the large Nc expansion. By assuming that the pole position is ${\cal O} (N_C^{0})$ and exploiting unitarity, we show that the BW determination of the resonance mass differs from the pole position by ${\cal O} (N_C^{-2})$ terms, which can be extracted from pi-pi scattering data. For the case of the f0(600) pole, the BW scalar mass is predicted to occur at about 700 MeV while the true value is located at about 800 MeV.
Arriola Enrique Ruiz
Nieves Juan
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