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Dynamical generation of $J^P=3/2-$ resonances and the $Λ(1520)$ resonance

Sourav Sarkar·L. Roca·E. Oset·V. K. Magas·M. J. Vicente Vacas
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Abstract

The lowest order chiral Lagrangian is used to study s-wave interactions of the baryon decuplet with the octet of pseudoscalar mesons. The coupled channel Bethe Salpeter equation is used to obtain dynamically generated $\tfrac{3}{2}^-$ resonances in the partial wave amplitudes which provide a reasonable description to a number of 3 and 4-star resonances like $Δ(1700)$, $Λ(1520)$, $Σ(1670)$, $Σ(1940)$, $Ξ(1820)$, $Ω(2250)$ etc. The phenomenological introduction of d-wave channels in the coupled channel scheme along with the existing s-wave channels is shown to provide a much improved description of the $Λ(1520)$ resonance. The prediction of the absolute strength of the cross section in the reactions $K^-p\toΛπ^0π^0$ and $K^-p\toΛπ^+π^-$ provided by this scheme shows a good agreement with existing data.

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Sourav Sarkar, L. Roca, E. Oset, V. K. Magas, M. J. Vicente Vacas. 2005-11-23. Dynamical generation of $J^P=3/2-$ resonances and the $Λ(1520)$ resonance. https://doi.org/10.1142/9789812773333_0023

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