Baryonic resonances from baryon decuplet-meson octet interaction

✍ Scribed by Sourav Sarkar; E. Oset; M.J. Vicente Vacas

• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 593 KB
• Volume: 750
• Category: Article
• ISSN: 0375-9474
• DOI: 10.1016/j.nuclphysa.2005.01.006

✦ Synopsis

We study S-wave interactions of the baryon decuplet with the octet of pseudoscalar mesons using the lowest order chiral Lagrangian. In the S = 1 sector, we find an attractive interaction in the ∆K channel with I = 1 while it is repulsive for I = 2. The attractive interaction leads to a pole in the second Riemann sheet of the complex plane and is manifested as a large strength in the scattering amplitude close to the ∆K threshold, which is not the case for I = 2.

We use the unitarized coupled channel approach to also investigate all the other possible values of strangeness and isospin. We find two bound states in the SU(3) limit corresponding to the octet and decuplet representations. These are found to split into eight different trajectories in the complex plane when the SU(3) symmetry is broken gradually. Finally, we are able to provide a reasonable description for a good number of 4-star 3 2 -resonances listed by the Particle Data Group.