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S=--1 Meson-Baryon Scattering in Coupled Channel Unitarized Chiral Perturbation Theory | | C. Garcia-Recio
; J. Nieves
; E. Ruiz Arriola
; M. Vicente Vacas
; | | Date: |
18 Sep 2002 | | Journal: | Eur.Phys.J. A18 (2003) 185-187 | | Subject: | nucl-th | | Affiliation: | Departamento de Fisica Moderna, Universidad de Granada, Spain.) and M. Vicente Vacas (Departamento de F’{i}sica Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Valencia, Spain | | Abstract: | The $s-$wave meson-baryon scattering amplitude is analyzed for the strangeness $S=-1$ and isospin I=0 sector in a Bethe-Salpeter coupled channel formalism incorporating Chiral Symmetry. Four two-body channels have been considered: $ar K N$, $pi Sigma $, $eta Lambda $, $ K Xi$. The needed two particle irreducible matrix amplitude is taken from lowest order Chiral Perturbation Theory in a relativistic formalism. Off-shell behaviour is parameterized in terms of low energy constants, which outnumber those assumed in previous works and provide a better fit to the data. The position of the complex poles in the second Riemann sheet of the scattering amplitude determine masses and widths of the $Lambda (1405)$ and $Lambda(1670)$ resonances which compare well with accepted numbers. | | Source: | arXiv, nucl-th/0209053 | | Services: | Forum | Review | PDF | Favorites | |
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