Two meson scattering amplitudes and their resonances from chiral symmetry and the N/D method
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# Two meson scattering amplitudes and their resonances from chiral symmetry and the N/D method

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 Oller Berber, José Antonio; Oset Báguena, Eulogio Perfil This document is a artículoDate2000 Este documento está disponible también en : http://hdl.handle.net/10550/46828 We study the vector and scalar meson-meson amplitudes up to \sqrt{s}\lesssim 1.4 GeV and their associated spectroscopy. The study has been done considering jointly the N/D method, Chiral Symmetry and implications from large N_c QCD. The N/D method provides us with the way to unitarize the tree level amplitudes constructed in agreement with Chiral Symmetry and its breaking (explicit and spontaneous). These amplitudes are calculated making use of the lowest order Chiral Perturbation Theory (\chiPT) Lagrangians and the exchanges of resonances compatible with Chiral Symmetry as given in. On the other hand the large N_c considerations allow us to distinguish between elementary (as elementary as the pions, for instance) and compound (meson-meson) states. Making use of this formalism one observes that the \sigma, \kappa and a_0(980) resonances are meson-meson states originating from the unitar... [Leer más...] [-] We study the vector and scalar meson-meson amplitudes up to \sqrt{s}\lesssim 1.4 GeV and their associated spectroscopy. The study has been done considering jointly the N/D method, Chiral Symmetry and implications from large N_c QCD. The N/D method provides us with the way to unitarize the tree level amplitudes constructed in agreement with Chiral Symmetry and its breaking (explicit and spontaneous). These amplitudes are calculated making use of the lowest order Chiral Perturbation Theory (\chiPT) Lagrangians and the exchanges of resonances compatible with Chiral Symmetry as given in. On the other hand the large N_c considerations allow us to distinguish between elementary (as elementary as the pions, for instance) and compound (meson-meson) states. Making use of this formalism one observes that the \sigma, \kappa and a_0(980) resonances are meson-meson states originating from the unitarization of the lowest order \chiPT amplitudes. On the other hand, the f_0(980) is a combination of a strong S-wave meson-meson unitarity effect and of a preexisting singlet resonance with a mass around 1 GeV. Oller Berber, José Antonio Oset Báguena, Eulogio 2000 Two meson scattering amplitudes and their resonances from chiral symmetry and the N/D method Nuclear Physics A 663 629C 632C http://dx.doi.org/10.1016/S0375-9474(99)00693-4