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

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

2005-11-23

arxiv.org/abs/nucl-th/0511062v1

Physics

Nuclear Physics

Nuclear Theory

Talk given at International Workshop on the Physics of Excited Baryons NSTAR05, 12-15 October 2005, Tallahassee, Florida, USA

Scientific paper

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 $\Delta(1700)$, $\Lambda(1520)$, $\Sigma(1670)$, $\Sigma(1940)$, $\Xi(1820)$, $\Omega(2250)$ 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 $\Lambda(1520)$ resonance. The prediction of the absolute strength of the cross section in the reactions $K^-p\to\Lambda\pi^0\pi^0$ and $K^-p\to\Lambda\pi^+\pi^-$ provided by this scheme shows a good agreement with existing data.

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