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S = -1 meson-baryon scattering in coupled-channel unitarized Chiral Perturbation Theory

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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: \(\bar K N\), \(\pi \Sigma \), \(\eta \Lambda \), \( K \Xi\). 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 determines masses and widths of the \(\Lambda (1405)\) and \(\Lambda(1670)\) resonances which compare well with accepted numbers.

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Authors and Affiliations

  1. Departamento de Física Moderna, Universidad de Granada, E-18071, Granada, Spain

    C. García-Recio, J. Nieves & E. Ruiz Arriola

  2. Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Ap. Correos 22085, E-46071, Valencia, Spain

    M. Vicente Vacas

Authors
  1. C. García-Recio
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  2. J. Nieves
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  3. E. Ruiz Arriola
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  4. M. Vicente Vacas
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Corresponding author

Correspondence to E. Ruiz Arriola.

Additional information

Received: 30 September 2002, Published online: 22 October 2003

PACS:

11.10.St Bound and unstable states; Bethe-Salpeter equations - 11.30.Rd Chiral symmetries - 11.80.Et Partial-wave analysis - 13.75.Lb Meson-meson interactions

E. Ruiz Arriola: Spokesperson

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García-Recio, C., Nieves, J., Ruiz Arriola, E. et al. S = -1 meson-baryon scattering in coupled-channel unitarized Chiral Perturbation Theory. Eur. Phys. J. A 18, 185–187 (2003). https://doi.org/10.1140/epja/i2002-10297-y

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  • DOI: https://doi.org/10.1140/epja/i2002-10297-y

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