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Study of a possible S = + 1 dynamically generated baryonic resonance

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Abstract.

Starting from the lowest-order chiral Lagrangian for the interaction of the baryon decuplet with the octet of pseudoscalar mesons we find an attractive interaction in the ΔK channel with L = 0 and I = 1, while the interaction is repulsive for I = 2. The attractive interaction leads to a pole in the second Riemann sheet of the complex plane and manifests itself in a large strength of the ΔK scattering amplitude close to the ΔK threshold, which is not the case for I = 2. However, we also make a study of uncertainties in the model and conclude that the existence of this pole depends sensitively upon the input used and can disappear within reasonable variations of the input parameters. We take advantage to study the stability of the other poles obtained for the \( {\frac{{3}}{{2}}}\)- dynamically generated resonances of the model and conclude that they are stable and not contingent to reasonable changes in the input of the theory.

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Authors and Affiliations

  1. Departamento de Fısica Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Institutos de Investigación de Paterna, Aptd. 22085, 46071, Valencia, Spain

    Sourav Sarkar, E. Oset & M. J. Vicente Vacas

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  1. Sourav Sarkar
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  2. E. Oset
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  3. M. J. Vicente Vacas
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U.-G. Meißner

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Sarkar, S., Oset, E. & Vicente Vacas, M.J. Study of a possible S = + 1 dynamically generated baryonic resonance. Eur. Phys. J. A 24, 287–292 (2005). https://doi.org/10.1140/epja/i2005-10006-6

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  • DOI: https://doi.org/10.1140/epja/i2005-10006-6

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