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

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 $\Delta K$ 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 $\Delta K$ scattering amplitude close to the $\Delta K$ 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 ${3/2}^{-}$ dynamically generated resonances of the model and conclude that they are stable and not contingent to reasonable changes in the input of the theory.

References in corpus (7)

• Big Bang Nucleosynthesis (in "The Review of Particle Properties" 2004)
• On the nature of light scalar mesons from their large $N_c$ behavior
• Baryonic Resonances from Baryon Decuplet-Meson Octet Interaction
• Pentaquark states in a chiral potential
• A Method to Unambiguously Determine the Parity of the Theta+ Pentaquark
• How to measure the parity of the ${\Theta }^{+}$ in $\vec{p}\vec{p}$ collisions
• The Narrow ${\Theta }_5$ Pentaquark As The First Non-planar Hadron With the Diamond Structure And Negative Parity

Cited by in corpus (7)

• The nature of the Lambda(1405) resonance in chiral dynamics
• Analytic properties of the scattering amplitude and resonances parameters in a meson exchange model
• Study of exotic hadrons in S-wave scatterings induced by chiral interaction in the flavor symmetric limit
• Study on N Omega-bar systems in a chiral quark model
• Delta K, Lambda K, and Sigma K states in the extended chiral SU(3) quark model
• Chiral dynamics of baryon resonances and hadrons in a nuclear medium
• N K Pi molecular state with I=1 and J(Pi)=3/2-