dorsal/arxiv
View SchemaBethe-Salpeter Approach for Meson-Meson Scattering in Chiral Perturbation Theory
| Authors | Juan Nieves, Enrique Ruiz Arriola |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9807035 |
| URL | https://arxiv.org/abs/nucl-th/9807035 |
| DOI | 10.1016/S0370-2693(99)00461-X |
| Journal | Phys.Lett. B455 (1999) 30-38 |
Abstract
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 ${\bar l}_{1,2,3,4}$ from our amplitudes.
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"abstract": "The Bethe-Salpeter equation restores exact elastic unitarity in the s-\nchannel by summing up an infinite set of chiral loops. We use this equation to\nshow how a chiral expansion can be undertaken by successive approximations to\nthe potential which should be iterated. Renormalizability of the amplitudes in\na broad sense can be achieved by allowing for an infinite set of counter-terms\nas it is the case in ordinary Chiral Perturbation Theory. Within this framework\nwe calculate the $\\pi \\pi$ scattering amplitudes both for s- and p-waves at\nlowest order in the proposed expansion where a successful description of the\nlow-lying resonances ($\\sigma$ and $\\rho$) and threshold parameters is\nobtained. We also extract the SU(2) low energy parameters ${\\bar l}_{1,2,3,4}$\nfrom our amplitudes.",
"arxiv_id": "nucl-th/9807035",
"authors": [
"Juan Nieves",
"Enrique Ruiz Arriola"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1016/S0370-2693(99)00461-X",
"journal_ref": "Phys.Lett. B455 (1999) 30-38",
"title": "Bethe-Salpeter Approach for Meson-Meson Scattering in Chiral Perturbation Theory",
"url": "https://arxiv.org/abs/nucl-th/9807035"
},
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