The 35-plet Baryons from Chiral Soliton Models

Abstract

We investigate the 35-plet baryons from the chiral soliton models. We find that the coupling constant for the decay of 35-plet baryons with spin 3/2 to the decuplet baryons is surprisingly small, but that for the decay to 27-plet baryons with spin 3/2 is larger. We give all the masses and widths of 35-plet baryons with spin 5/2 and suggest candidates for all nonexotic members from the available particle listings. We also focus on $Δ_{5/2}$ and $Θ_2$, which are the lightest two baryons of 35-plet with spin 5/2 and with simplest minimal pentaquark configurations. Calculations show that $Γ_{Δ_{5/2}}<$380 MeV, compared with the results from SU(2) Skyrme Model ($Γ_{Δ_{5/2}}>$800 MeV), and $Γ_{Θ_{2}}<100$ MeV if we assume that their widths are dominated by two-body decay and that $Θ^+$ has a width $Γ_{Θ^+}<25$ MeV.