S=--1 Meson-Baryon Scattering in Coupled Channel Unitarized Chiral Perturbation Theory

Details S=--1 Meson-Baryon Scattering in Coupled Channel Unitarized Chiral Perturbation Theory S=--1 Meson-Baryon Scattering in Coupled Channel Unitarized Chiral Perturbation Theory

2002-09-18

arxiv.org/abs/nucl-th/0209053v1

Eur.Phys.J.A18:185-187,2003

Physics

Nuclear Physics

Nuclear Theory

3 pages, 2 figures; contribution to the proceedings of Quark Nuclear Physics (QNP 2002), Juelich, Germany, 9-14 Jun 2002. Pres

Scientific paper

10.1140/epja/i2002-10297-y

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: $\bar K N$, $\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.

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