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Meson resonances at large N(C): Complex poles vs Breit-Wigner masses

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Meson resonances at large N(C): Complex poles vs Breit-Wigner masses

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Nieves Pamplona, Juan Miguel; Ruiz Arriola, Enrique

Aquest document és un/a article, creat/da en: 2009

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 N-C expansion. By assuming that the pole position is O(N-C(0)) and exploiting unitarity, we show that the BW determination of the resonance mass differs from the pole position by O(N-C(-2)) terms, which can be extracted from pi pi scattering data. For the case of the a (f(0)(600)) pole, the BW scalar mass is predicted to occur at similar to 700 MeV while the true value is located at similar to 800 MeV.

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