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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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.

    Nieves Pamplona, Juan Miguel Ruiz Arriola, Enrique 2009 Meson resonances at large N(C): Complex poles vs Breit-Wigner masses Physics Letters B 679 5 449 453
http://dx.doi.org/10.1016/j.physletb.2009.08.021
distribuït sota llicència Creative Commons de Reconeixement-NoComercial 3.0 No adaptada

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