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Bethe-Salpeter approach for meson-meson scattering in chiral perturbation theory
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Bethe-Salpeter approach for meson-meson scattering in chiral perturbation theory
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| Nieves Pamplona, Juan Miguel; Ruiz Arriola, Enrique | |||
| Aquest document és un/a article, creat/da en: 1999 | |||
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| The Bethe-Salpeter equation restores exact elastic unitarity in the s-channel by summing up an infinite set of chiral loops. We use this equation to show how a chiral expansion can be undertaken by successive approximations to the potential which should be iterated. Renormalizability of the amplitudes in a broad sense can be achieved by allowing for an infinite set of counter-terms as it is the case in ordinary Chiral Perturbation Theory. Within this framework we calculate the pi pi scattering amplitudes both for s- and p-waves at lowest order in the proposed expansion where a successful description of the low-lying resonances (sigma- and rho) and threshold parameters is obtained. We also extract the SU(2) low energy parameters (l) over bar,(1,2,3,4) from our amplitudes. | |||
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